Deck 4: Exponential and Logarithmic Functions

ملء الشاشة (f)
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سؤال
Assume the population P (in millions)of the United States from 1992 through 2005 can be modeled by the exponential function <strong>Assume the population P (in millions)of the United States from 1992 through 2005 can be modeled by the exponential function   ,where t is the time in years,with   corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.</strong> A) 5,973 million B) 958 million C) 1,336 million D) 353 million E) 5,972 million <div style=padding-top: 35px> ,where t is the time in years,with <strong>Assume the population P (in millions)of the United States from 1992 through 2005 can be modeled by the exponential function   ,where t is the time in years,with   corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.</strong> A) 5,973 million B) 958 million C) 1,336 million D) 353 million E) 5,972 million <div style=padding-top: 35px> corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.

A) 5,973 million
B) 958 million
C) 1,336 million
D) 353 million
E) 5,972 million
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سؤال
To help their son buy a car on his 16th birthday,a boy's parents invest $1,900 on his 10th birthday.If the investment pays an annual rate of 9% compounded continuously,how much is available on his 16th birthday? Round your answer to the nearest cent.

A) $3,240.96
B) $3,260.41
C) $3,186.49
D) $2,926.00
E) $16,475.16
سؤال
​What is the resulting balance if $4,500 is invested for 5 years at an annual rate of 7% compounded monthly?

A) ​$4,632.79
B) ​$4,687.00
C) ​$6,075.00
D) ​$6,379.31
E) ​$8,258.80
سؤال
Sketch the graph of the function <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Use the properties of exponents to simplify the expression <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Use a graphing utility to graph the function <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> ​ ​

A) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Use the properties of exponents to simplify the expression <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Determine the continuity of the function below. ​ <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at   <div style=padding-top: 35px> ​​

A) ​discontinuous at <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at   <div style=padding-top: 35px>
B) ​continuous on the entire real number line
C) ​discontinuous at <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at   <div style=padding-top: 35px>
D) ​discontinuous at <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at   <div style=padding-top: 35px>
E) ​discontinuous at <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at   <div style=padding-top: 35px>
سؤال
​Use a graphing utility to graph the function <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
How much more interest will be earned if $7,000 is invested for 9 years at an annual rate of 9% compounded continuously,instead of at 9% compounded quarterly? Round your answer to the nearest cent.

A) $47.49
B) $93.15
C) $140.64
D) $2,924.71
E) $3,017.87
سؤال
​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> of its value for the previous year.Find a model for V(t),the value of the car after t years.

A) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
What lump sum should be deposited in an account that will earn at an annual rate of 9%,compounded quarterly,to grow to $150,000 for retirement in 20 years? Round your answer to the nearest cent.

A) $147,330.10
B) $18,292.68
C) $53,571.43
D) $24,961.93
E) $25,294.49
سؤال
​Sketch the graph of the function <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​With an annual rate of inflation of 4% over the next 10 years,the approximate cost of goods or services during any year in the decade is given by <strong>​With an annual rate of inflation of 4% over the next 10 years,the approximate cost of goods or services during any year in the decade is given by   where t is the time (in years)and P is the present cost.The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now.Round your answer to the nearest cent.</strong> A) ​​$37.09 B) ​$36.93 C) ​​$89.00 D) ​​$63.90 <div style=padding-top: 35px> where t is the time (in years)and P is the present cost.The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now.Round your answer to the nearest cent.

A) ​​$37.09
B) ​$36.93
C) ​​$89.00
D) ​​$63.90
سؤال
Suppose that the annual rate of inflation averages 4% over the next 10 years.With this rate of inflation,the approximate cost C of goods or services during any year in that decade will be given by <strong>Suppose that the annual rate of inflation averages 4% over the next 10 years.With this rate of inflation,the approximate cost C of goods or services during any year in that decade will be given by   ,   where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.</strong> A) $39.95 B) $40.41 C) $41.95 D) $43.41 E) $38.41 <div style=padding-top: 35px> , <strong>Suppose that the annual rate of inflation averages 4% over the next 10 years.With this rate of inflation,the approximate cost C of goods or services during any year in that decade will be given by   ,   where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.</strong> A) $39.95 B) $40.41 C) $41.95 D) $43.41 E) $38.41 <div style=padding-top: 35px> where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.

A) $39.95
B) $40.41
C) $41.95
D) $43.41
E) $38.41
سؤال
Sketch the graph of the function <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Use a graphing utility to graph the function <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> Be sure to choose an appropriate viewing window. ​

A) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Evaluate the expression <strong>Evaluate the expression   ​</strong> A) ​125 B) ​5 C) ​25 D) ​27 E) ​29 <div style=padding-top: 35px>

A) ​125
B) ​5
C) ​25
D) ​27
E) ​29
سؤال
​Determine whether the function below has any horizontal asymptotes. ​ <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:   <div style=padding-top: 35px>

A) ​horizontal asymptotes: <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:   <div style=padding-top: 35px>
B) ​no horizontal asymptotes
C) ​horizontal asymptotes: <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:   <div style=padding-top: 35px>
D) ​horizontal asymptotes: <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:   <div style=padding-top: 35px>
E) ​​horizontal asymptotes: <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:   <div style=padding-top: 35px>
سؤال
After t years,the remaining mass y(in grams)of 16 grams of a radioactive element whose half-life is 34 years is given by <strong>After t years,the remaining mass y(in grams)of 16 grams of a radioactive element whose half-life is 34 years is given by   ,for   How much of the initial mass remains after 136 years? Round your answer to two decimal places. ​</strong> A) ​2.00 grams B) ​2.20 grams C) ​3.30 grams D) ​2.90 grams E) ​1.00 gram <div style=padding-top: 35px> ,for <strong>After t years,the remaining mass y(in grams)of 16 grams of a radioactive element whose half-life is 34 years is given by   ,for   How much of the initial mass remains after 136 years? Round your answer to two decimal places. ​</strong> A) ​2.00 grams B) ​2.20 grams C) ​3.30 grams D) ​2.90 grams E) ​1.00 gram <div style=padding-top: 35px> How much of the initial mass remains after 136 years? Round your answer to two decimal places. ​

A) ​2.00 grams
B) ​2.20 grams
C) ​3.30 grams
D) ​2.90 grams
E) ​1.00 gram
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​The demand function for a product is modeled by <strong>​The demand function for a product is modeled by   Find the price of the product if the quantity demanded is   Round your answer to two decimal places where applicable.</strong> A) ​$158.51 B) ​$2,468.78 C) ​$531.22 D) ​$2,478.98 E) ​$541.52 <div style=padding-top: 35px> Find the price of the product if the quantity demanded is <strong>​The demand function for a product is modeled by   Find the price of the product if the quantity demanded is   Round your answer to two decimal places where applicable.</strong> A) ​$158.51 B) ​$2,468.78 C) ​$531.22 D) ​$2,478.98 E) ​$541.52 <div style=padding-top: 35px> Round your answer to two decimal places where applicable.

A) ​$158.51
B) ​$2,468.78
C) ​$531.22
D) ​$2,478.98
E) ​$541.52
سؤال
Find the future value if $4,200 is invested for 6 years at an annual rate of 9% compounded quarterly. ​

A) $9,072.00
B) $4,799.87
C) $7,043.82
D) $7,122.70
E) $7,164.22
سؤال
What is the annual percentage yield (or effective annual rate)for a nominal rate of 8.7% compounded quarterly? Round your answer to two decimal places.

A) 8.70%
B) 9.06%
C) 9.09%
D) 8.99%
E) 8.89%
سؤال
​If <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> ,find <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the equation of the tangent line to <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> at the point <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the derivative of <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
The demand function for a product is modeled by <strong>The demand function for a product is modeled by   What is the limit of the price as x increases without bound?</strong> A) The limit of the price as x increases without bound is -1. B) The limit of the price as x increases without bound is 1. C) The limit of the price as x increases without bound is 0. D) The limit of the price as x increases without bound is 3,000. E) The limit of the price as x increases without bound is 4. <div style=padding-top: 35px> What is the limit of the price as x increases without bound?

A) The limit of the price as x increases without bound is -1.
B) The limit of the price as x increases without bound is 1.
C) The limit of the price as x increases without bound is 0.
D) The limit of the price as x increases without bound is 3,000.
E) The limit of the price as x increases without bound is 4.
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> if <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Find the derivative of the following function. ​ <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> ,find <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> ​ ​

A) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Write the equation of the line tangent to the graph of <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Use implicit differentiation to find <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find an equation of the tangent line to the graph of <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> at the point <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​The average time between incoming calls at a switchboard is 3 minutes.If a call has just come in,the probability that the next call will come within the next t minutes is <strong>​The average time between incoming calls at a switchboard is 3 minutes.If a call has just come in,the probability that the next call will come within the next t minutes is   Find the probability that the next call will come within the next   minute.Round your answer to two decimal places.</strong> A) ​24.25% B) ​2.43% C) ​175.75% D) ​26.48% E) ​5.97% <div style=padding-top: 35px> Find the probability that the next call will come within the next <strong>​The average time between incoming calls at a switchboard is 3 minutes.If a call has just come in,the probability that the next call will come within the next t minutes is   Find the probability that the next call will come within the next   minute.Round your answer to two decimal places.</strong> A) ​24.25% B) ​2.43% C) ​175.75% D) ​26.48% E) ​5.97% <div style=padding-top: 35px> minute.Round your answer to two decimal places.

A) ​24.25%
B) ​2.43%
C) ​175.75%
D) ​26.48%
E) ​5.97%
سؤال
​If <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> ,find <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> if <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.

A) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Simplify <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the extrema of the function <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> by analyzing its graph below. ​
<strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Use the properties of logarithms to write the expression <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> as a sum,difference,or multiple of logarithms.

A) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Simplify <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Sketch the graph of the function <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Use the properties of logarithms to approximate <strong>​Use the properties of logarithms to approximate   ,given that   ​</strong> A) ​-4.9767 B) ​-1.7579 C) ​0.4780 D) ​5.4195 E) ​4.9767 <div style=padding-top: 35px> ,given that <strong>​Use the properties of logarithms to approximate   ,given that   ​</strong> A) ​-4.9767 B) ​-1.7579 C) ​0.4780 D) ​5.4195 E) ​4.9767 <div style=padding-top: 35px>

A) ​-4.9767
B) ​-1.7579
C) ​0.4780
D) ​5.4195
E) ​4.9767
سؤال
​Use the properties of logarithms to expand <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>

A) ​ <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>
B) ​ <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>
C) ​ <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>
D) ​ <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>
E) ​none of the above
سؤال
​Find <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> ,if <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the extrema of the function <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​The average typing speed N (in words per minute)after t weeks of lessons is modeled by <strong>​The average typing speed N (in words per minute)after t weeks of lessons is modeled by   Find the rate at which the typing speed is changing when   weeks.Round your answer to two decimal places. ​</strong> A) ​1.51 words/min/week B) ​2.15 words/min/week C) ​2.51 words/min/week D) ​4.38 words/min/week E) ​5.04 words/min/week <div style=padding-top: 35px> Find the rate at which the typing speed is changing when <strong>​The average typing speed N (in words per minute)after t weeks of lessons is modeled by   Find the rate at which the typing speed is changing when   weeks.Round your answer to two decimal places. ​</strong> A) ​1.51 words/min/week B) ​2.15 words/min/week C) ​2.51 words/min/week D) ​4.38 words/min/week E) ​5.04 words/min/week <div style=padding-top: 35px> weeks.Round your answer to two decimal places. ​

A) ​1.51 words/min/week
B) ​2.15 words/min/week
C) ​2.51 words/min/week
D) ​4.38 words/min/week
E) ​5.04 words/min/week
سؤال
Write the logarithmic equation <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as an exponential equation. ​

A) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
​Sketch the graph of the function <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Write the exponential equation <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> as a logarithmic equation.

A) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Solve for the equation for <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Future value.The future value that accrues when $700 is invested at 9%,compounded continuously,is <strong>​Future value.The future value that accrues when $700 is invested at 9%,compounded continuously,is   ,where t is the number of years.At what rate is the money in this account growing when   ?</strong> A) ​$10.03 per year B) $65.57 per year​ C) ​$1,003.33 per year D) ​$725.66 per year E) ​$90.30 per year <div style=padding-top: 35px> ,where t is the number of years.At what rate is the money in this account growing when <strong>​Future value.The future value that accrues when $700 is invested at 9%,compounded continuously,is   ,where t is the number of years.At what rate is the money in this account growing when   ?</strong> A) ​$10.03 per year B) $65.57 per year​ C) ​$1,003.33 per year D) ​$725.66 per year E) ​$90.30 per year <div style=padding-top: 35px> ?

A) ​$10.03 per year
B) $65.57 per year​
C) ​$1,003.33 per year
D) ​$725.66 per year
E) ​$90.30 per year
سؤال
​Use the properties of logarithms to expand <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Sketch the graph of the function <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> Find the derivative of the model. ​

A) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Use the properties of logarithms to write the expression as a single logarithm. ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Solve the following equation for x accurate to three decimal places. ​ <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Solve the following equation for x accurate to three decimal places. ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Solve the exponential equation.Give the answer correct to 3 decimal places. ​ <strong>​Solve the exponential equation.Give the answer correct to 3 decimal places. ​   ​</strong> A) ​0.675 B) ​3.374 C) ​7.410 D) ​0.599 E) ​14.979 <div style=padding-top: 35px>

A) ​0.675
B) ​3.374
C) ​7.410
D) ​0.599
E) ​14.979
سؤال
​Write the following expression as a logarithm of a single quantity. ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>

A) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>
B) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>
C) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>
D) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above <div style=padding-top: 35px>
E) ​none of the above
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the derivative of <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Write the following expression as a logarithm of a single quantity. ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Solve the following equation for accurate to three decimal places. ​ <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
Solve the exponential equation.Give answers correct to 3 decimal places. ​ <strong>Solve the exponential equation.Give answers correct to 3 decimal places. ​   ​</strong> A) 343 B) 0.571 C) 0.712 D) 0.356 E) 0.805 <div style=padding-top: 35px>

A) 343
B) 0.571
C) 0.712
D) 0.356
E) 0.805
سؤال
​Write the expression <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> as the logarithm of a single quantity.

A) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Solve the exponential equation.Give the answer correct to 3 decimal places. ​ <strong>​Solve the exponential equation.Give the answer correct to 3 decimal places. ​   ​</strong> A) ​-2.993 B) ​-0.100 C) ​2.182 D) ​-1.091 E) ​5.986 <div style=padding-top: 35px>

A) ​-2.993
B) ​-0.100
C) ​2.182
D) ​-1.091
E) ​5.986
سؤال
​Write the expression <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px> as the logarithm of a single quantity.

A) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
B) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
C) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
D) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
E) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <div style=padding-top: 35px>
سؤال
​Solve <strong>​Solve   for t.Round your answer to four decimal places. ​</strong> A) ​1.4454 B) ​0.3611 C) ​2.6344 D) ​0.3614 E) ​2.7184 <div style=padding-top: 35px> for t.Round your answer to four decimal places. ​

A) ​1.4454
B) ​0.3611
C) ​2.6344
D) ​0.3614
E) ​2.7184
سؤال
​Solve the exponential equation.Give the answer correct to 3 decimal places. ​ <strong>​Solve the exponential equation.Give the answer correct to 3 decimal places. ​   ​</strong> A) ​-0.219 B) ​2.033 C) ​0.274 D) ​-2.033 E) ​-0.224 <div style=padding-top: 35px>

A) ​-0.219
B) ​2.033
C) ​0.274
D) ​-2.033
E) ​-0.224
سؤال
​How long (in years)would $800 have to be invested at an annual rate of 11%,compounded continuously,to amount to $1060? Round your answer to two decimal places. ​

A) ​2.95 years
B) ​2.70 years
C) ​0.56 years
D) 3.38​ years
E) ​2.56 years
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Deck 4: Exponential and Logarithmic Functions
1
Assume the population P (in millions)of the United States from 1992 through 2005 can be modeled by the exponential function <strong>Assume the population P (in millions)of the United States from 1992 through 2005 can be modeled by the exponential function   ,where t is the time in years,with   corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.</strong> A) 5,973 million B) 958 million C) 1,336 million D) 353 million E) 5,972 million ,where t is the time in years,with <strong>Assume the population P (in millions)of the United States from 1992 through 2005 can be modeled by the exponential function   ,where t is the time in years,with   corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.</strong> A) 5,973 million B) 958 million C) 1,336 million D) 353 million E) 5,972 million corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.

A) 5,973 million
B) 958 million
C) 1,336 million
D) 353 million
E) 5,972 million
5,973 million
2
To help their son buy a car on his 16th birthday,a boy's parents invest $1,900 on his 10th birthday.If the investment pays an annual rate of 9% compounded continuously,how much is available on his 16th birthday? Round your answer to the nearest cent.

A) $3,240.96
B) $3,260.41
C) $3,186.49
D) $2,926.00
E) $16,475.16
$3,260.41
3
​What is the resulting balance if $4,500 is invested for 5 years at an annual rate of 7% compounded monthly?

A) ​$4,632.79
B) ​$4,687.00
C) ​$6,075.00
D) ​$6,379.31
E) ​$8,258.80
​$6,379.31
4
Sketch the graph of the function <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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5
Use the properties of exponents to simplify the expression <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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6
Use a graphing utility to graph the function <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   ​ ​

A) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>Use a graphing utility to graph the function   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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7
Use the properties of exponents to simplify the expression <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>Use the properties of exponents to simplify the expression   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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8
Determine the continuity of the function below. ​ <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at   ​​

A) ​discontinuous at <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at
B) ​continuous on the entire real number line
C) ​discontinuous at <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at
D) ​discontinuous at <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at
E) ​discontinuous at <strong>Determine the continuity of the function below. ​   ​​</strong> A) ​discontinuous at   B) ​continuous on the entire real number line C) ​discontinuous at   D) ​discontinuous at   E) ​discontinuous at
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9
​Use a graphing utility to graph the function <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Use a graphing utility to graph the function  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
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10
How much more interest will be earned if $7,000 is invested for 9 years at an annual rate of 9% compounded continuously,instead of at 9% compounded quarterly? Round your answer to the nearest cent.

A) $47.49
B) $93.15
C) $140.64
D) $2,924.71
E) $3,017.87
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11
​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   of its value for the previous year.Find a model for V(t),the value of the car after t years.

A) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t),the value of the car after t years.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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12
What lump sum should be deposited in an account that will earn at an annual rate of 9%,compounded quarterly,to grow to $150,000 for retirement in 20 years? Round your answer to the nearest cent.

A) $147,330.10
B) $18,292.68
C) $53,571.43
D) $24,961.93
E) $25,294.49
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13
​Sketch the graph of the function <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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14
​With an annual rate of inflation of 4% over the next 10 years,the approximate cost of goods or services during any year in the decade is given by <strong>​With an annual rate of inflation of 4% over the next 10 years,the approximate cost of goods or services during any year in the decade is given by   where t is the time (in years)and P is the present cost.The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now.Round your answer to the nearest cent.</strong> A) ​​$37.09 B) ​$36.93 C) ​​$89.00 D) ​​$63.90 where t is the time (in years)and P is the present cost.The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now.Round your answer to the nearest cent.

A) ​​$37.09
B) ​$36.93
C) ​​$89.00
D) ​​$63.90
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15
Suppose that the annual rate of inflation averages 4% over the next 10 years.With this rate of inflation,the approximate cost C of goods or services during any year in that decade will be given by <strong>Suppose that the annual rate of inflation averages 4% over the next 10 years.With this rate of inflation,the approximate cost C of goods or services during any year in that decade will be given by   ,   where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.</strong> A) $39.95 B) $40.41 C) $41.95 D) $43.41 E) $38.41 , <strong>Suppose that the annual rate of inflation averages 4% over the next 10 years.With this rate of inflation,the approximate cost C of goods or services during any year in that decade will be given by   ,   where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.</strong> A) $39.95 B) $40.41 C) $41.95 D) $43.41 E) $38.41 where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.

A) $39.95
B) $40.41
C) $41.95
D) $43.41
E) $38.41
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16
Sketch the graph of the function <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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17
​Use a graphing utility to graph the function <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   Be sure to choose an appropriate viewing window. ​

A) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Use a graphing utility to graph the function   Be sure to choose an appropriate viewing window. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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18
Evaluate the expression <strong>Evaluate the expression   ​</strong> A) ​125 B) ​5 C) ​25 D) ​27 E) ​29

A) ​125
B) ​5
C) ​25
D) ​27
E) ​29
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19
​Determine whether the function below has any horizontal asymptotes. ​ <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:

A) ​horizontal asymptotes: <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:
B) ​no horizontal asymptotes
C) ​horizontal asymptotes: <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:
D) ​horizontal asymptotes: <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:
E) ​​horizontal asymptotes: <strong>​Determine whether the function below has any horizontal asymptotes. ​   ​</strong> A) ​horizontal asymptotes:   B) ​no horizontal asymptotes C) ​horizontal asymptotes:   D) ​horizontal asymptotes:   E) ​​horizontal asymptotes:
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20
After t years,the remaining mass y(in grams)of 16 grams of a radioactive element whose half-life is 34 years is given by <strong>After t years,the remaining mass y(in grams)of 16 grams of a radioactive element whose half-life is 34 years is given by   ,for   How much of the initial mass remains after 136 years? Round your answer to two decimal places. ​</strong> A) ​2.00 grams B) ​2.20 grams C) ​3.30 grams D) ​2.90 grams E) ​1.00 gram ,for <strong>After t years,the remaining mass y(in grams)of 16 grams of a radioactive element whose half-life is 34 years is given by   ,for   How much of the initial mass remains after 136 years? Round your answer to two decimal places. ​</strong> A) ​2.00 grams B) ​2.20 grams C) ​3.30 grams D) ​2.90 grams E) ​1.00 gram How much of the initial mass remains after 136 years? Round your answer to two decimal places. ​

A) ​2.00 grams
B) ​2.20 grams
C) ​3.30 grams
D) ​2.90 grams
E) ​1.00 gram
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21
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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22
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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23
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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24
​The demand function for a product is modeled by <strong>​The demand function for a product is modeled by   Find the price of the product if the quantity demanded is   Round your answer to two decimal places where applicable.</strong> A) ​$158.51 B) ​$2,468.78 C) ​$531.22 D) ​$2,478.98 E) ​$541.52 Find the price of the product if the quantity demanded is <strong>​The demand function for a product is modeled by   Find the price of the product if the quantity demanded is   Round your answer to two decimal places where applicable.</strong> A) ​$158.51 B) ​$2,468.78 C) ​$531.22 D) ​$2,478.98 E) ​$541.52 Round your answer to two decimal places where applicable.

A) ​$158.51
B) ​$2,468.78
C) ​$531.22
D) ​$2,478.98
E) ​$541.52
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25
Find the future value if $4,200 is invested for 6 years at an annual rate of 9% compounded quarterly. ​

A) $9,072.00
B) $4,799.87
C) $7,043.82
D) $7,122.70
E) $7,164.22
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26
What is the annual percentage yield (or effective annual rate)for a nominal rate of 8.7% compounded quarterly? Round your answer to two decimal places.

A) 8.70%
B) 9.06%
C) 9.09%
D) 8.99%
E) 8.89%
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27
​If <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   ,find <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​If   ,find  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
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28
​Find the equation of the tangent line to <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   at the point <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the equation of the tangent line to   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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29
​Find the derivative of <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
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30
The demand function for a product is modeled by <strong>The demand function for a product is modeled by   What is the limit of the price as x increases without bound?</strong> A) The limit of the price as x increases without bound is -1. B) The limit of the price as x increases without bound is 1. C) The limit of the price as x increases without bound is 0. D) The limit of the price as x increases without bound is 3,000. E) The limit of the price as x increases without bound is 4. What is the limit of the price as x increases without bound?

A) The limit of the price as x increases without bound is -1.
B) The limit of the price as x increases without bound is 1.
C) The limit of the price as x increases without bound is 0.
D) The limit of the price as x increases without bound is 3,000.
E) The limit of the price as x increases without bound is 4.
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31
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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32
​Find <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   if <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find   if   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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33
Find the derivative of the following function. ​ <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the following function. ​   ​</strong> A)   B)   C)   D)   E)
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34
If <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   ,find <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   ​ ​

A) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>If   ,find   ​ ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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35
​Write the equation of the line tangent to the graph of <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Write the equation of the line tangent to the graph of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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36
​Use implicit differentiation to find <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Use implicit differentiation to find   ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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37
​Find an equation of the tangent line to the graph of <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   at the point <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find an equation of the tangent line to the graph of   at the point   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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38
​The average time between incoming calls at a switchboard is 3 minutes.If a call has just come in,the probability that the next call will come within the next t minutes is <strong>​The average time between incoming calls at a switchboard is 3 minutes.If a call has just come in,the probability that the next call will come within the next t minutes is   Find the probability that the next call will come within the next   minute.Round your answer to two decimal places.</strong> A) ​24.25% B) ​2.43% C) ​175.75% D) ​26.48% E) ​5.97% Find the probability that the next call will come within the next <strong>​The average time between incoming calls at a switchboard is 3 minutes.If a call has just come in,the probability that the next call will come within the next t minutes is   Find the probability that the next call will come within the next   minute.Round your answer to two decimal places.</strong> A) ​24.25% B) ​2.43% C) ​175.75% D) ​26.48% E) ​5.97% minute.Round your answer to two decimal places.

A) ​24.25%
B) ​2.43%
C) ​175.75%
D) ​26.48%
E) ​5.97%
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39
​If <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   ,find <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​If   ,find   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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40
​Find <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   if <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find   if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
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41
​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.

A) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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42
​Simplify <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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43
​Find the extrema of the function <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   by analyzing its graph below. ​
<strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the extrema of the function   by analyzing its graph below. ​ ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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44
​Use the properties of logarithms to write the expression <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   as a sum,difference,or multiple of logarithms.

A) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Use the properties of logarithms to write the expression   as a sum,difference,or multiple of logarithms.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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45
​Simplify <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Simplify   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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46
​Sketch the graph of the function <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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47
​Use the properties of logarithms to approximate <strong>​Use the properties of logarithms to approximate   ,given that   ​</strong> A) ​-4.9767 B) ​-1.7579 C) ​0.4780 D) ​5.4195 E) ​4.9767 ,given that <strong>​Use the properties of logarithms to approximate   ,given that   ​</strong> A) ​-4.9767 B) ​-1.7579 C) ​0.4780 D) ​5.4195 E) ​4.9767

A) ​-4.9767
B) ​-1.7579
C) ​0.4780
D) ​5.4195
E) ​4.9767
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48
​Use the properties of logarithms to expand <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above

A) ​ <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above
B) ​ <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above
C) ​ <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above
D) ​ <strong>​Use the properties of logarithms to expand  </strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above
E) ​none of the above
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49
​Find <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​   ,if <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find   ,if  </strong> A) ​   B) ​   C) ​   D) ​   E) ​
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50
​Find the extrema of the function <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the extrema of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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51
​The average typing speed N (in words per minute)after t weeks of lessons is modeled by <strong>​The average typing speed N (in words per minute)after t weeks of lessons is modeled by   Find the rate at which the typing speed is changing when   weeks.Round your answer to two decimal places. ​</strong> A) ​1.51 words/min/week B) ​2.15 words/min/week C) ​2.51 words/min/week D) ​4.38 words/min/week E) ​5.04 words/min/week Find the rate at which the typing speed is changing when <strong>​The average typing speed N (in words per minute)after t weeks of lessons is modeled by   Find the rate at which the typing speed is changing when   weeks.Round your answer to two decimal places. ​</strong> A) ​1.51 words/min/week B) ​2.15 words/min/week C) ​2.51 words/min/week D) ​4.38 words/min/week E) ​5.04 words/min/week weeks.Round your answer to two decimal places. ​

A) ​1.51 words/min/week
B) ​2.15 words/min/week
C) ​2.51 words/min/week
D) ​4.38 words/min/week
E) ​5.04 words/min/week
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52
Write the logarithmic equation <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)   as an exponential equation. ​

A) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)
B) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)
C) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)
D) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)
E) <strong>Write the logarithmic equation   as an exponential equation. ​</strong> A)   B)   C)   D)   E)
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53
​Sketch the graph of the function <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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54
​Write the exponential equation <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   as a logarithmic equation.

A) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Write the exponential equation   as a logarithmic equation.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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55
​Solve for the equation for <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Solve for the equation for   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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56
​Future value.The future value that accrues when $700 is invested at 9%,compounded continuously,is <strong>​Future value.The future value that accrues when $700 is invested at 9%,compounded continuously,is   ,where t is the number of years.At what rate is the money in this account growing when   ?</strong> A) ​$10.03 per year B) $65.57 per year​ C) ​$1,003.33 per year D) ​$725.66 per year E) ​$90.30 per year ,where t is the number of years.At what rate is the money in this account growing when <strong>​Future value.The future value that accrues when $700 is invested at 9%,compounded continuously,is   ,where t is the number of years.At what rate is the money in this account growing when   ?</strong> A) ​$10.03 per year B) $65.57 per year​ C) ​$1,003.33 per year D) ​$725.66 per year E) ​$90.30 per year ?

A) ​$10.03 per year
B) $65.57 per year​
C) ​$1,003.33 per year
D) ​$725.66 per year
E) ​$90.30 per year
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57
​Use the properties of logarithms to expand <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Use the properties of logarithms to expand   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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58
​Sketch the graph of the function <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Sketch the graph of the function   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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59
A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​   Find the derivative of the model. ​

A) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as   Find the derivative of the model. ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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60
​Use the properties of logarithms to write the expression as a single logarithm. ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Use the properties of logarithms to write the expression as a single logarithm. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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61
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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62
Solve the following equation for x accurate to three decimal places. ​ <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Solve the following equation for x accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
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63
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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64
​Solve the following equation for x accurate to three decimal places. ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Solve the following equation for x accurate to three decimal places. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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65
​Solve the exponential equation.Give the answer correct to 3 decimal places. ​ <strong>​Solve the exponential equation.Give the answer correct to 3 decimal places. ​   ​</strong> A) ​0.675 B) ​3.374 C) ​7.410 D) ​0.599 E) ​14.979

A) ​0.675
B) ​3.374
C) ​7.410
D) ​0.599
E) ​14.979
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66
​Write the following expression as a logarithm of a single quantity. ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above

A) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above
B) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above
C) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above
D) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​none of the above
E) ​none of the above
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67
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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68
​Find the derivative of <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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69
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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70
​Write the following expression as a logarithm of a single quantity. ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Write the following expression as a logarithm of a single quantity. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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71
Solve the following equation for accurate to three decimal places. ​ <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Solve the following equation for accurate to three decimal places. ​   ​</strong> A)   B)   C)   D)   E)
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72
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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73
​Find the derivative of the following function. ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​

A) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Find the derivative of the following function. ​   ​</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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74
Solve the exponential equation.Give answers correct to 3 decimal places. ​ <strong>Solve the exponential equation.Give answers correct to 3 decimal places. ​   ​</strong> A) 343 B) 0.571 C) 0.712 D) 0.356 E) 0.805

A) 343
B) 0.571
C) 0.712
D) 0.356
E) 0.805
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75
​Write the expression <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   as the logarithm of a single quantity.

A) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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76
​Solve the exponential equation.Give the answer correct to 3 decimal places. ​ <strong>​Solve the exponential equation.Give the answer correct to 3 decimal places. ​   ​</strong> A) ​-2.993 B) ​-0.100 C) ​2.182 D) ​-1.091 E) ​5.986

A) ​-2.993
B) ​-0.100
C) ​2.182
D) ​-1.091
E) ​5.986
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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77
​Write the expression <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​   as the logarithm of a single quantity.

A) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ <strong>​Write the expression   as the logarithm of a single quantity.</strong> A) ​   B) ​   C) ​   D) ​   E) ​
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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78
​Solve <strong>​Solve   for t.Round your answer to four decimal places. ​</strong> A) ​1.4454 B) ​0.3611 C) ​2.6344 D) ​0.3614 E) ​2.7184 for t.Round your answer to four decimal places. ​

A) ​1.4454
B) ​0.3611
C) ​2.6344
D) ​0.3614
E) ​2.7184
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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79
​Solve the exponential equation.Give the answer correct to 3 decimal places. ​ <strong>​Solve the exponential equation.Give the answer correct to 3 decimal places. ​   ​</strong> A) ​-0.219 B) ​2.033 C) ​0.274 D) ​-2.033 E) ​-0.224

A) ​-0.219
B) ​2.033
C) ​0.274
D) ​-2.033
E) ​-0.224
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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80
​How long (in years)would $800 have to be invested at an annual rate of 11%,compounded continuously,to amount to $1060? Round your answer to two decimal places. ​

A) ​2.95 years
B) ​2.70 years
C) ​0.56 years
D) 3.38​ years
E) ​2.56 years
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.