تكلم مع الذكاء الاصطناعي
Deck 5: Exponential and Logarithmic Functions
ملء الشاشة (f)
سؤال
If $1,200 is invested for x years at an annual rate of 7%, compounded quarterly, the future value that will result is 
Determine the value of the investment after 8 years. Round your answer to two decimal places, if necessary.
A) $5,229.16
B) $10,458.32
C) $2,061.82
D) $9,258.32
E) $672
Determine the value of the investment after 8 years. Round your answer to two decimal places, if necessary.
A) $5,229.16
B) $10,458.32
C) $2,061.82
D) $9,258.32
E) $672
سؤال
The percent concentration y of a certain drug in the bloodstream at any time t in minutes is given by the equation 
.
Graph this equation for 0 ≤ t ≤ 30.
A) 
B) 
C) 
D) 
E) 
.
Graph this equation for 0 ≤ t ≤ 30.
A)
B)
C)
D)
E)
سؤال
Graph the function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Graph the function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Graph the function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Let 
. Use a graphing utility to graph the functions 
and 
where 
. Identify the graphs of 
and 
below.
A) 
B) 
C) 
D) 
E) 
. Use a graphing utility to graph the functions and where . Identify the graphs of and below. A)
B)
C)
D)
E)
سؤال
A starfish population can be modeled by 
, where 
is the number of individuals at time 
, r is the yearly rate of growth, and t is the number of years. Sketch the graph for 
to 
when the growth rate is 2.1% and 
is 5.5 billion. All numbers on the vertical axis are in billions.
A) 
B) 
C) 
D) 
E) 
, where is the number of individuals at time , r is the yearly rate of growth, and t is the number of years. Sketch the graph for to when the growth rate is 2.1% and is 5.5 billion. All numbers on the vertical axis are in billions. A)
B)
C)
D)
E)
سؤال
Graph the function 
.
A) 
B) 
C) 
D) 
E) 
. A)
B)
C)
D)
E)
سؤال
Is the function 
a growth exponential or decay exponential?
A) growth exponential
B) decay exponential
a growth exponential or decay exponential? A) growth exponential
B) decay exponential
سؤال
Express 
in the form 
with an appropriate value of 
.
A)
B)
C)
D) -
E) -
in the form with an appropriate value of . A)
B)
C)
D) -
E) -
سؤال
Given 
. Graph 
and 
for 
.
A) 
B) 
C) 
D) 
E) 
. Graph and for . A)
B)
C)
D)
E)
سؤال
Use a calculator to evaluate the expression. Round your answer to two decimal places, if necessary. 
A) 46,656
B) 1
C) 1.35
D) 8.09
E) 36
A) 46,656
B) 1
C) 1.35
D) 8.09
E) 36
سؤال
Use a calculator to evaluate the expression. Round your answer to six decimal places. 
A) -0.041235
B) -24.251465
C) -9.200000
D) 27.984100
E) 0.041235
A) -0.041235
B) -24.251465
C) -9.200000
D) 27.984100
E) 0.041235
سؤال
Use a calculator to evaluate the expression. Round your answer to four decimal places, if necessary. 
A) 0.0002
B) 3.4641
C) 0.2887
D) 8,192
E) 6
A) 0.0002
B) 3.4641
C) 0.2887
D) 8,192
E) 6
سؤال
Let 
. Using a graphing utility, graph 
for 
and 
. What effect does c have on the graphs?
A) As c changes, the graph is shifted horizontally by c units.
B) As c changes, the graph is shifted vertically by c units.
C) As c changes, the y-intercept and the horizontal asymptote change.
D) As c changes, the graph is rotated c degrees.
E) As c changes, the graph is reflected over the line
.
. Using a graphing utility, graph for and . What effect does c have on the graphs?
A) As c changes, the graph is shifted horizontally by c units.
B) As c changes, the graph is shifted vertically by c units.
C) As c changes, the y-intercept and the horizontal asymptote change.
D) As c changes, the graph is rotated c degrees.
E) As c changes, the graph is reflected over the line
. سؤال
The following figure, from Investor's Business Daily (March 5, 1998), shows how quickly the U.S. metal processing industry isconsolidating. The linear equation that is the best fit for the number of metal processors as a function of years after 1990 is 
, and the best exponential fit is 
. The linear equation seems to give a much better fit for the data points than the exponential equation. Why then is the exponential equation a more useful model to predict the number of metal processors in 
? 
A) The quantity of metal processing units as a function of time is exponential for the first five years, and linear for the next five years.
B) As the quantity of metal processors decreases, they decrease at an increasingly logarithmic rate as a function of time.
C) The number of metal processing units will probably start to increase in 2007.
D) The linear model gives a negative number of processors in 2010. The exponential model is always non-negative.
E) The number of metal processing units follows a parabolic model.
, and the best exponential fit is . The linear equation seems to give a much better fit for the data points than the exponential equation. Why then is the exponential equation a more useful model to predict the number of metal processors in ? A) The quantity of metal processing units as a function of time is exponential for the first five years, and linear for the next five years.
B) As the quantity of metal processors decreases, they decrease at an increasingly logarithmic rate as a function of time.
C) The number of metal processing units will probably start to increase in 2007.
D) The linear model gives a negative number of processors in 2010. The exponential model is always non-negative.
E) The number of metal processing units follows a parabolic model.
سؤال
We will show in the next chapter that if $P is invested for n years at an annual rate of 3% compounded continuously, the future value of the investment is given by 
Use
and graph this function for 
.
A) 
B) 
C) 
D) 
E) 
Use
and graph this function for .
A)
B)
C)
D)
E)
سؤال
The percent concentration y of a certain drug in the bloodstream at any time t in minutes is given by the equation 
. Graph this function with a graphing utility. Which of the following statements best describes the situation after 10 hours?
A) After 10 hours, 50% of the drug is in the blood stream.
B) After 10 hours, 10% of the drug is in the blood stream.
C) After 10 hours, there are almost 100 units of the drug in the blood stream.
D) After 10 hours, the drug has almost completely dissipated.
E) After 10 hours, the drug is almost completely in the blood stream.
. Graph this function with a graphing utility. Which of the following statements best describes the situation after 10 hours? A) After 10 hours, 50% of the drug is in the blood stream.
B) After 10 hours, 10% of the drug is in the blood stream.
C) After 10 hours, there are almost 100 units of the drug in the blood stream.
D) After 10 hours, the drug has almost completely dissipated.
E) After 10 hours, the drug is almost completely in the blood stream.
سؤال
Use a calculator to evaluate the expression. Round your answer to two decimal places. 
A) 20.09
B) 8.15
C) 19.81
D) 54.60
E) 16.31
A) 20.09
B) 8.15
C) 19.81
D) 54.60
E) 16.31
سؤال
Graph the function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Solve for x by writing the equation in exponential form. Round your answer two decimal places, if necessary. 
A) 20
B) 1,024
C) 625
D) 54.60
E) 3,125
A) 20
B) 1,024
C) 625
D) 54.60
E) 3,125
سؤال
Use properties of logarithms or a definition to simplify the expression.
If
find 
.
A)
B)
C)
D)
E)
If
find .
A)
B)
C)
D)
E)
سؤال
The following table gives the average number of students per computer in public schools for the school years that ended in 1985 through 2002. Let x be the number of years past 1980. Find an exponential model for these data. Round your answer to three decimal places.
Source: Quality Education Data, Inc., Denver, Colorado
A) 
B) 
C) 
D) 
E) 
Source: Quality Education Data, Inc., Denver, Colorado
A)
B)
C)
D)
E)
سؤال
Total personal income in the United States (in billions of dollars) for selected years from 1960 to 2002 is given in the following table.
Source: Bureau of Economic Analysis, U.S. Department of Commerce
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If this model is accurate, what will be the total U.S. personal income in 2010? Round your answer to two decimal places.
A) $13,899.68 billions
B) $15,216.17 billions
C) $17,199.23 billions
D) $18,464.37 billions
E) $20,698.13 billions
Source: Bureau of Economic Analysis, U.S. Department of Commerce
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If this model is accurate, what will be the total U.S. personal income in 2010? Round your answer to two decimal places.
A) $13,899.68 billions
B) $15,216.17 billions
C) $17,199.23 billions
D) $18,464.37 billions
E) $20,698.13 billions
سؤال
The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers, with x representing years past 1900. Find an equation that models these data. If it's necessary, round your calculations to four decimal places.
Source: U.S. Bureau of the Census
A)
B)
C)
D)
E)
Source: U.S. Bureau of the Census
A)
B)
C)
D)
E)
سؤال
Total personal income in the United States (in billions of dollars) for selected years from 1960 to 2002 is given in the following table.
Source: Bureau of Economic Analysis, U.S. Department of Commerce
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If it's necessary round your calculations to four decimal places.
A)
B)
C)
D)
E)
Source: Bureau of Economic Analysis, U.S. Department of Commerce
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If it's necessary round your calculations to four decimal places.
A)
B)
C)
D)
E)
سؤال
Use properties of logarithms or a definition to simplify the expression.
If
, find 
.
A)
B)
C)
D)
E)
If
, find .
A)
B)
C)
D)
E)
سؤال
The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers. Find an equation that models these data and use it to determine when the consumer price index will pass 349.
Source: U.S. Bureau of the Census
A) The 2011 - 2012 year
B) The 2012 - 2013 year
C) The 2014 - 2015 year
D) The 2016 - 2017 year
E) The 2019 - 2020 year
Source: U.S. Bureau of the Census
A) The 2011 - 2012 year
B) The 2012 - 2013 year
C) The 2014 - 2015 year
D) The 2016 - 2017 year
E) The 2019 - 2020 year
سؤال
Write the equation in logarithmic form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Write the equation in logarithmic form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers. Find an equation that models these data and use it to predict the consumer price index in 2015. Use the model to predict the consumer price index in 2015. Round your answer to two decimal places.
Source: U.S. Bureau of the Census
A) 76.47
B) 129.14
C) 169.33
D) 216.39
E) 326.77
Source: U.S. Bureau of the Census
A) 76.47
B) 129.14
C) 169.33
D) 216.39
E) 326.77
سؤال
Use properties of logarithms or a definition to simplify the expression. Check the result with a change-of-base formula and a calculator. 
A) 8
B) 1
C) 4
D) -1
E) no solution
A) 8
B) 1
C) 4
D) -1
E) no solution
سؤال
The following table gives the average number of students per computer in public schools for the school years that ended in 1985 through 2002. Find an exponential model for these data. How many students per computer in public schools does this model predict for 2005? Round your answer to two decimal places.
A) 1.92
B) 2.42
C) 4.32
D) 3.42
E) 4.92
A) 1.92
B) 2.42
C) 4.32
D) 3.42
E) 4.92
سؤال
Use properties of logarithms or a definition to simplify the expression. Check the result with a change-of-base formula and a calculator. Round your answer two decimal places. 
A) 20.09
B) 4.00
C) 64.00
D) 243.00
E) no solution
A) 20.09
B) 4.00
C) 64.00
D) 243.00
E) no solution
سؤال
Graph the function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Write the equation in exponential form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Graph the function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Write the equation in exponential form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve for x by writing the equation in exponential form. 
A)
B) 
C) 124
D) 5
E) 45
A)
B)
C) 124
D) 5
E) 45
سؤال
Solve for x by writing the equation in exponential form. Round your answer to two decimal places, if necessary. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use a change-of-base formula to rewrite the logarithm in terms of natural logarithms. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the formula 
.
The San Francisco earthquake of 1906 measured 8.25 on the Richter scale, and the San Francisco earthquake of 1989 measured 7.1. How much more intense was the 1906 quake?
A) 0.3 times as severe.
B) 1.5 times as severe
C) 5.7 times as severe
D) 10.8 times as severe
E) 14.1 times as severe
. The San Francisco earthquake of 1906 measured 8.25 on the Richter scale, and the San Francisco earthquake of 1989 measured 7.1. How much more intense was the 1906 quake?
A) 0.3 times as severe.
B) 1.5 times as severe
C) 5.7 times as severe
D) 10.8 times as severe
E) 14.1 times as severe
سؤال
Use the properties of logarithms to write the expression as a single logarithm. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Given 
, use a graphing calculator to graph 
for 
and 
.
A) 
B) 
C) 
D) 
E) 
, use a graphing calculator to graph for and . A)
B)
C)
D)
E)
سؤال
Use properties of logarithms or a definition to simplify the expression.
If
, find 
.
A) 5
B) 10
C)
D) 100,000
E) 50
If
, find .
A) 5
B) 10
C)
D) 100,000
E) 50
سؤال
Use a calculator to determine whether expression (a) is equivalent to expression (b). 
A) equivalent
B) not equivalent
A) equivalent
B) not equivalent
سؤال
Use the following information. Chemists use the pH (hydrogen potential) of a solution to measure its acidity or basicity. The pH is given by the formula 
, where 
is the concentration of hydrogen ions in moles per liter. What value of 
is associated with pH level 12?
A)
B)
C)
D)
E)
, where is the concentration of hydrogen ions in moles per liter. What value of is associated with pH level 12? A)
B)
C)
D)
E)
سؤال
Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two decimal places. 
A) 1.48
B) 1.10
C) 4.40
D) 1.45
E) 0.67
A) 1.48
B) 1.10
C) 4.40
D) 1.45
E) 0.67
سؤال
Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer to two decimal places. 
A) 1.15
B) 8.37
C) 1.14
D) 0.40
E) 5.80
A) 1.15
B) 8.37
C) 1.14
D) 0.40
E) 5.80
سؤال
Evaluate the logarithm by using properties of logarithms and the following fact. Round your answer two decimal places. 
A) 10.40
B) 1.91
C) 4.60
D) 6.76
E) 5.20
A) 10.40
B) 1.91
C) 4.60
D) 6.76
E) 5.20
سؤال
Use a calculator to determine whether expression (a) is equivalent to expression (b). 
A) equivalent
B) not equivalent
A) equivalent
B) not equivalent
سؤال
Use the fact that the loudness of sound (in decibels) perceived by the human ear depends on intensity levels according to 
, where 
is the threshold of hearing for the average human ear. Find the loudness when I is 1,000 times 
.
A) 3
B) 30
C) 4
D) 300
E) 100
, where is the threshold of hearing for the average human ear. Find the loudness when I is 1,000 times . A) 3
B) 30
C) 4
D) 300
E) 100
سؤال
Find an equivalent expression for the given logarithm using the change-of-base formula. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two decimal places.
A) 7.70
B) 14.82
C) 0.10
D) 1.82
E) 1.03
A) 7.70
B) 14.82
C) 0.10
D) 1.82
E) 1.03
سؤال
Write the expression as the sum or difference of two logarithmic functions containing no exponents. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the formula 
.
In October 2004, an earthquake measuring 6.8 on the Richter scale occurred in Japan. The largest quake in Japan since 1990 was one in 1993 that registered 7.7. How many times more severe was the 1993 shock than the one in 2004 on the Richter scale? Round your answer to one decimal place.
A) 0.7 times as severe
B) 1.9 times as severe
C) 7.9 times as severe
D) 9.3 times as severe
E) 19.1 times as severe
. In October 2004, an earthquake measuring 6.8 on the Richter scale occurred in Japan. The largest quake in Japan since 1990 was one in 1993 that registered 7.7. How many times more severe was the 1993 shock than the one in 2004 on the Richter scale? Round your answer to one decimal place.
A) 0.7 times as severe
B) 1.9 times as severe
C) 7.9 times as severe
D) 9.3 times as severe
E) 19.1 times as severe
سؤال
Write the expression as the sum or difference of two logarithmic functions containing no exponents. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Which answer choice is a graph of the function? 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Use a change-of-base formula to evaluate 
with a calculator or other technology. Round your answer to four decimal places.
A) 0.3801
B) 3.1754
C) 2.6309
D) 3.9890
E) 3.0445
with a calculator or other technology. Round your answer to four decimal places. A) 0.3801
B) 3.1754
C) 2.6309
D) 3.9890
E) 3.0445
سؤال
Use the properties of logarithms to write the expression as a single logarithm. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The monthly sales S for a product is given by 
, where x is the number of months that have passed since the end of a promotional campaign. How many months after the end of the campaign will sales drop below 6,000, if no new campaign is initiated? Round to two decimal places.
A) 2.65 months
B) 4.32 months
C) 5.12 months
D) 6.16 months
E) 7.36 months
, where x is the number of months that have passed since the end of a promotional campaign. How many months after the end of the campaign will sales drop below 6,000, if no new campaign is initiated? Round to two decimal places. A) 2.65 months
B) 4.32 months
C) 5.12 months
D) 6.16 months
E) 7.36 months
سؤال
Solve the exponential equation. Round your answer to three decimal places, if necessary. 
A) 125
B) 0.667
C) 0.861
D) 0.408
E) 63
A) 125
B) 0.667
C) 0.861
D) 0.408
E) 63
سؤال
The purchasing power P (in dollars) of an annual amount of A dollars after t years of 4% inflation decays according to 
. How long will it be before a pension of $60,000 per year has a purchasing power of $30,000? Round your answer to one decimal place.
A) 1.0 year
B) 9.7 years
C) 15.8 years
D) 35.7 years
E) 17.3 years
. How long will it be before a pension of $60,000 per year has a purchasing power of $30,000? Round your answer to one decimal place. A) 1.0 year
B) 9.7 years
C) 15.8 years
D) 35.7 years
E) 17.3 years
سؤال
Solve the exponential equation. Give the answer correct to 3 decimal places. 
A) 0.802
B) 1.605
C) 2.493
D) 0.936
E) 3.744
A) 0.802
B) 1.605
C) 2.493
D) 0.936
E) 3.744
سؤال
Solve the exponential equation. Give answers correct to 3 decimal places. 
A) 1.159
B) 0.093
C) 10.714
D) -0.093
E) -0.424
A) 1.159
B) 0.093
C) 10.714
D) -0.093
E) -0.424
سؤال
Solve the logarithmic equation 
. Round your answer to three decimal places.
A)
B)
C)
D)
E)
. Round your answer to three decimal places. A)
B)
C)
D)
E)
سؤال
An initial amount of 300 g of the radioactive isotope thorium-234 decays according to 
, where t is in years. How long does it take for half of the initial amount to disintegrate? This time is called the half-life of this isotope. Round your answer to one decimal place.
A) 240.5 years
B) 170.7 years
C) 24.5 years
D) 27.5 years
E) 245.1 years
, where t is in years. How long does it take for half of the initial amount to disintegrate? This time is called the half-life of this isotope. Round your answer to one decimal place. A) 240.5 years
B) 170.7 years
C) 24.5 years
D) 27.5 years
E) 245.1 years
سؤال
Solve the exponential equation. Give the answer correct to 3 decimal places. 
A) -0.545
B) 9.639
C) 6.053
D) -9.639
E) -3.896
A) -0.545
B) 9.639
C) 6.053
D) -9.639
E) -3.896
سؤال
Solve the exponential equation. Give the answer correct to 3 decimal places. 
A) -2.258
B) -0.523
C) 2.516
D) -0.503
E) 11.291
A) -2.258
B) -0.523
C) 2.516
D) -0.503
E) 11.291
سؤال
The purchasing power P (in dollars) of an annual amount of A dollars after t years of 4% inflation decays according to 
. Determine how large a pension A needs to be so that the purchasing power P is $70,000 after 25 years? Round your answer to the nearest dollar.
A) $260,683
B) $190,280
C) $115,410
D) $156,191
E) $95,141
. Determine how large a pension A needs to be so that the purchasing power P is $70,000 after 25 years? Round your answer to the nearest dollar. A) $260,683
B) $190,280
C) $115,410
D) $156,191
E) $95,141
سؤال
For selected years from 1960 to 2001, the national health care expenditures H, in billions of dollars, can be modeled by 
, where t is the number of years past 1960 (Source: U.S. Department of Health and Human Services). If this model remains accurate, in what year will national health care expenditures reach $3 trillion (that is, $3000 billion)? Round your answer to the nearest year.
A) in the year 2008
B) in the year 2018
C) in the year 2013
D) in the year 2011
E) in the year 2009
, where t is the number of years past 1960 (Source: U.S. Department of Health and Human Services). If this model remains accurate, in what year will national health care expenditures reach $3 trillion (that is, $3000 billion)? Round your answer to the nearest year. A) in the year 2008
B) in the year 2018
C) in the year 2013
D) in the year 2011
E) in the year 2009
سؤال
The monthly sales S for a product is given by 
, where x is the number of months that have passed since the end of a promotional campaign. Determine the monthly sales 4 months after the promotional campaign. Round your answer to the nearest cent.
A) $36,243.76
B) $2,038.11
C) $38,296.42
D) $1,226,626.51
E) $65,280.26
, where x is the number of months that have passed since the end of a promotional campaign. Determine the monthly sales 4 months after the promotional campaign. Round your answer to the nearest cent. A) $36,243.76
B) $2,038.11
C) $38,296.42
D) $1,226,626.51
E) $65,280.26
سؤال
Solve the logarithmic equation 
. Round your answer to three decimal places.
A)
B)
C)
D)
E)
. Round your answer to three decimal places. A)
B)
C)
D)
E)
سؤال
Between the years 1960 and 2002, the percent of women in the work force is given by 
, where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). What does this model estimate to be the percent of women in the work force in 2019? Round your answer to two decimal places.
A) 64.24
B) 61.69
C) 66.61
D) 75.71
E) 51.70
, where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). What does this model estimate to be the percent of women in the work force in 2019? Round your answer to two decimal places. A) 64.24
B) 61.69
C) 66.61
D) 75.71
E) 51.70
سؤال
Solve the logarithmic equation 
.
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
The population y of a certain country was 100,000 in 1990 and 149,182 in 2000. Assume the formula 
applies to the growth of the country's population. Estimate the population of the country in 2010. Round your answer to the nearest human.
A) 149,182
B) 332,012
C) 222,554
D) 67,032
E) 44,933
applies to the growth of the country's population. Estimate the population of the country in 2010. Round your answer to the nearest human. A) 149,182
B) 332,012
C) 222,554
D) 67,032
E) 44,933
سؤال
Between the years 1960 and 2002, the percent of women in the work force is given by 
, where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). Graph this function with a graphing utility and use the graph drawn to estimate the year in which the percent reached 50. Round your answer to the nearest year.
A) 1964
B) 1970
C) 1976
D) 1984
E) 1989
, where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). Graph this function with a graphing utility and use the graph drawn to estimate the year in which the percent reached 50. Round your answer to the nearest year. A) 1964
B) 1970
C) 1976
D) 1984
E) 1989
سؤال
Use the formula 
to find the doubling time t, in years, for an investment at r% compounded n times per year. Suppose you make an investment of $1,300 at interest rate 11% compounded quarterly. How long will it take for your investment to double? Round your answer to two decimal places.
A) 2.13 years
B) 12.78 years
C) 3.19 years
D) 3.32 years
E) 6.39 years
to find the doubling time t, in years, for an investment at r% compounded n times per year. Suppose you make an investment of $1,300 at interest rate 11% compounded quarterly. How long will it take for your investment to double? Round your answer to two decimal places. A) 2.13 years
B) 12.78 years
C) 3.19 years
D) 3.32 years
E) 6.39 years
سؤال
The demand function for a certain commodity is given by 
, where q is number of units. At what price per unit will the quantity demanded equal 6 units? Round your answer to the nearest cent.
A) $0.25
B) $0.40
C) $2.01
D) $4.98
E) $0.74
, where q is number of units. At what price per unit will the quantity demanded equal 6 units? Round your answer to the nearest cent. A) $0.25
B) $0.40
C) $2.01
D) $4.98
E) $0.74
سؤال
The demand function for a certain commodity is given by 
, where q is number of units. If the price is $1.11 per unit, how many units will be demanded, to the nearest unit?
A) 9 units
B) 7 units
C) 11 units
D) 10 units
E) 12 units
, where q is number of units. If the price is $1.11 per unit, how many units will be demanded, to the nearest unit? A) 9 units
B) 7 units
C) 11 units
D) 10 units
E) 12 units
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العب
ملء الشاشة (f)
Deck 5: Exponential and Logarithmic Functions
1
If $1,200 is invested for x years at an annual rate of 7%, compounded quarterly, the future value that will result is
Determine the value of the investment after 8 years. Round your answer to two decimal places, if necessary.
A) $5,229.16
B) $10,458.32
C) $2,061.82
D) $9,258.32
E) $672
Determine the value of the investment after 8 years. Round your answer to two decimal places, if necessary.
A) $5,229.16
B) $10,458.32
C) $2,061.82
D) $9,258.32
E) $672
$10,458.32
2
The percent concentration y of a certain drug in the bloodstream at any time t in minutes is given by the equation .
Graph this equation for 0 ≤ t ≤ 30.
A)
B)
C)
D)
E)
.
Graph this equation for 0 ≤ t ≤ 30.
A)
B)
C)
D)
E)
3
Graph the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Graph the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Graph the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Let . Use a graphing utility to graph the functions and where . Identify the graphs of and below.
A)
B)
C)
D)
E)
. Use a graphing utility to graph the functions and where . Identify the graphs of and below. A)
B)
C)
D)
E)
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7
A starfish population can be modeled by , where is the number of individuals at time , r is the yearly rate of growth, and t is the number of years. Sketch the graph for to when the growth rate is 2.1% and is 5.5 billion. All numbers on the vertical axis are in billions.
A)
B)
C)
D)
E)
, where is the number of individuals at time , r is the yearly rate of growth, and t is the number of years. Sketch the graph for to when the growth rate is 2.1% and is 5.5 billion. All numbers on the vertical axis are in billions. A)
B)
C)
D)
E)
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8
Graph the function .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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9
Is the function a growth exponential or decay exponential?
A) growth exponential
B) decay exponential
a growth exponential or decay exponential? A) growth exponential
B) decay exponential
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10
Express in the form with an appropriate value of .
A)
B)
C)
D) -
E) -
in the form with an appropriate value of . A)
B)
C)
D) -
E) -
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11
Given . Graph and for .
A)
B)
C)
D)
E)
. Graph and for . A)
B)
C)
D)
E)
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12
Use a calculator to evaluate the expression. Round your answer to two decimal places, if necessary.
A) 46,656
B) 1
C) 1.35
D) 8.09
E) 36
A) 46,656
B) 1
C) 1.35
D) 8.09
E) 36
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13
Use a calculator to evaluate the expression. Round your answer to six decimal places.
A) -0.041235
B) -24.251465
C) -9.200000
D) 27.984100
E) 0.041235
A) -0.041235
B) -24.251465
C) -9.200000
D) 27.984100
E) 0.041235
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14
Use a calculator to evaluate the expression. Round your answer to four decimal places, if necessary.
A) 0.0002
B) 3.4641
C) 0.2887
D) 8,192
E) 6
A) 0.0002
B) 3.4641
C) 0.2887
D) 8,192
E) 6
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15
Let . Using a graphing utility, graph for and . What effect does c have on the graphs?
A) As c changes, the graph is shifted horizontally by c units.
B) As c changes, the graph is shifted vertically by c units.
C) As c changes, the y-intercept and the horizontal asymptote change.
D) As c changes, the graph is rotated c degrees.
E) As c changes, the graph is reflected over the line .
. Using a graphing utility, graph for and . What effect does c have on the graphs?
A) As c changes, the graph is shifted horizontally by c units.
B) As c changes, the graph is shifted vertically by c units.
C) As c changes, the y-intercept and the horizontal asymptote change.
D) As c changes, the graph is rotated c degrees.
E) As c changes, the graph is reflected over the line
. فتح الحزمة
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16
The following figure, from Investor's Business Daily (March 5, 1998), shows how quickly the U.S. metal processing industry isconsolidating. The linear equation that is the best fit for the number of metal processors as a function of years after 1990 is , and the best exponential fit is . The linear equation seems to give a much better fit for the data points than the exponential equation. Why then is the exponential equation a more useful model to predict the number of metal processors in ?
A) The quantity of metal processing units as a function of time is exponential for the first five years, and linear for the next five years.
B) As the quantity of metal processors decreases, they decrease at an increasingly logarithmic rate as a function of time.
C) The number of metal processing units will probably start to increase in 2007.
D) The linear model gives a negative number of processors in 2010. The exponential model is always non-negative.
E) The number of metal processing units follows a parabolic model.
, and the best exponential fit is . The linear equation seems to give a much better fit for the data points than the exponential equation. Why then is the exponential equation a more useful model to predict the number of metal processors in ? A) The quantity of metal processing units as a function of time is exponential for the first five years, and linear for the next five years.
B) As the quantity of metal processors decreases, they decrease at an increasingly logarithmic rate as a function of time.
C) The number of metal processing units will probably start to increase in 2007.
D) The linear model gives a negative number of processors in 2010. The exponential model is always non-negative.
E) The number of metal processing units follows a parabolic model.
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17
We will show in the next chapter that if $P is invested for n years at an annual rate of 3% compounded continuously, the future value of the investment is given by
Use and graph this function for .
A)
B)
C)
D)
E)
Use
and graph this function for .
A)
B)
C)
D)
E)
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18
The percent concentration y of a certain drug in the bloodstream at any time t in minutes is given by the equation . Graph this function with a graphing utility. Which of the following statements best describes the situation after 10 hours?
A) After 10 hours, 50% of the drug is in the blood stream.
B) After 10 hours, 10% of the drug is in the blood stream.
C) After 10 hours, there are almost 100 units of the drug in the blood stream.
D) After 10 hours, the drug has almost completely dissipated.
E) After 10 hours, the drug is almost completely in the blood stream.
. Graph this function with a graphing utility. Which of the following statements best describes the situation after 10 hours? A) After 10 hours, 50% of the drug is in the blood stream.
B) After 10 hours, 10% of the drug is in the blood stream.
C) After 10 hours, there are almost 100 units of the drug in the blood stream.
D) After 10 hours, the drug has almost completely dissipated.
E) After 10 hours, the drug is almost completely in the blood stream.
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19
Use a calculator to evaluate the expression. Round your answer to two decimal places.
A) 20.09
B) 8.15
C) 19.81
D) 54.60
E) 16.31
A) 20.09
B) 8.15
C) 19.81
D) 54.60
E) 16.31
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20
Graph the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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21
Solve for x by writing the equation in exponential form. Round your answer two decimal places, if necessary.
A) 20
B) 1,024
C) 625
D) 54.60
E) 3,125
A) 20
B) 1,024
C) 625
D) 54.60
E) 3,125
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22
Use properties of logarithms or a definition to simplify the expression.
If find .
A)
B)
C)
D)
E)
If
find .
A)
B)
C)
D)
E)
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23
The following table gives the average number of students per computer in public schools for the school years that ended in 1985 through 2002. Let x be the number of years past 1980. Find an exponential model for these data. Round your answer to three decimal places.
Source: Quality Education Data, Inc., Denver, Colorado
A)
B)
C)
D)
E)
Source: Quality Education Data, Inc., Denver, Colorado
A)
B)
C)
D)
E)
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24
Total personal income in the United States (in billions of dollars) for selected years from 1960 to 2002 is given in the following table.
Source: Bureau of Economic Analysis, U.S. Department of Commerce
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If this model is accurate, what will be the total U.S. personal income in 2010? Round your answer to two decimal places.
A) $13,899.68 billions
B) $15,216.17 billions
C) $17,199.23 billions
D) $18,464.37 billions
E) $20,698.13 billions
Source: Bureau of Economic Analysis, U.S. Department of Commerce
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If this model is accurate, what will be the total U.S. personal income in 2010? Round your answer to two decimal places.
A) $13,899.68 billions
B) $15,216.17 billions
C) $17,199.23 billions
D) $18,464.37 billions
E) $20,698.13 billions
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25
The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers, with x representing years past 1900. Find an equation that models these data. If it's necessary, round your calculations to four decimal places.
Source: U.S. Bureau of the Census
A)
B)
C)
D)
E)
Source: U.S. Bureau of the Census
A)
B)
C)
D)
E)
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26
Total personal income in the United States (in billions of dollars) for selected years from 1960 to 2002 is given in the following table.
Source: Bureau of Economic Analysis, U.S. Department of Commerce
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If it's necessary round your calculations to four decimal places.
A)
B)
C)
D)
E)
Source: Bureau of Economic Analysis, U.S. Department of Commerce
These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960. If it's necessary round your calculations to four decimal places.
A)
B)
C)
D)
E)
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27
Use properties of logarithms or a definition to simplify the expression.
If , find .
A)
B)
C)
D)
E)
If
, find .
A)
B)
C)
D)
E)
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28
The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers. Find an equation that models these data and use it to determine when the consumer price index will pass 349.
Source: U.S. Bureau of the Census
A) The 2011 - 2012 year
B) The 2012 - 2013 year
C) The 2014 - 2015 year
D) The 2016 - 2017 year
E) The 2019 - 2020 year
Source: U.S. Bureau of the Census
A) The 2011 - 2012 year
B) The 2012 - 2013 year
C) The 2014 - 2015 year
D) The 2016 - 2017 year
E) The 2019 - 2020 year
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29
Write the equation in logarithmic form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
Write the equation in logarithmic form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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31
The consumer price index (CPI) is calculated by averaging the prices of various items after assigning a weight to each item. The following table gives the consumer price indexes for selected years from 1940 through 2002, reflecting buying patterns of all urban consumers. Find an equation that models these data and use it to predict the consumer price index in 2015. Use the model to predict the consumer price index in 2015. Round your answer to two decimal places.
Source: U.S. Bureau of the Census
A) 76.47
B) 129.14
C) 169.33
D) 216.39
E) 326.77
Source: U.S. Bureau of the Census
A) 76.47
B) 129.14
C) 169.33
D) 216.39
E) 326.77
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32
Use properties of logarithms or a definition to simplify the expression. Check the result with a change-of-base formula and a calculator.
A) 8
B) 1
C) 4
D) -1
E) no solution
A) 8
B) 1
C) 4
D) -1
E) no solution
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33
The following table gives the average number of students per computer in public schools for the school years that ended in 1985 through 2002. Find an exponential model for these data. How many students per computer in public schools does this model predict for 2005? Round your answer to two decimal places.
A) 1.92
B) 2.42
C) 4.32
D) 3.42
E) 4.92
A) 1.92
B) 2.42
C) 4.32
D) 3.42
E) 4.92
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34
Use properties of logarithms or a definition to simplify the expression. Check the result with a change-of-base formula and a calculator. Round your answer two decimal places.
A) 20.09
B) 4.00
C) 64.00
D) 243.00
E) no solution
A) 20.09
B) 4.00
C) 64.00
D) 243.00
E) no solution
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35
Graph the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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36
Write the equation in exponential form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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37
Graph the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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38
Write the equation in exponential form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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39
Solve for x by writing the equation in exponential form.
A)
B)
C) 124
D) 5
E) 45
A)
B)
C) 124
D) 5
E) 45
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40
Solve for x by writing the equation in exponential form. Round your answer to two decimal places, if necessary.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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41
Use a change-of-base formula to rewrite the logarithm in terms of natural logarithms.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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42
Use the formula .
The San Francisco earthquake of 1906 measured 8.25 on the Richter scale, and the San Francisco earthquake of 1989 measured 7.1. How much more intense was the 1906 quake?
A) 0.3 times as severe.
B) 1.5 times as severe
C) 5.7 times as severe
D) 10.8 times as severe
E) 14.1 times as severe
. The San Francisco earthquake of 1906 measured 8.25 on the Richter scale, and the San Francisco earthquake of 1989 measured 7.1. How much more intense was the 1906 quake?
A) 0.3 times as severe.
B) 1.5 times as severe
C) 5.7 times as severe
D) 10.8 times as severe
E) 14.1 times as severe
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43
Use the properties of logarithms to write the expression as a single logarithm.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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44
Given , use a graphing calculator to graph for and .
A)
B)
C)
D)
E)
, use a graphing calculator to graph for and . A)
B)
C)
D)
E)
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45
Use properties of logarithms or a definition to simplify the expression.
If , find .
A) 5
B) 10
C)
D) 100,000
E) 50
If
, find .
A) 5
B) 10
C)
D) 100,000
E) 50
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46
Use a calculator to determine whether expression (a) is equivalent to expression (b).
A) equivalent
B) not equivalent
A) equivalent
B) not equivalent
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47
Use the following information. Chemists use the pH (hydrogen potential) of a solution to measure its acidity or basicity. The pH is given by the formula , where is the concentration of hydrogen ions in moles per liter. What value of is associated with pH level 12?
A)
B)
C)
D)
E)
, where is the concentration of hydrogen ions in moles per liter. What value of is associated with pH level 12? A)
B)
C)
D)
E)
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48
Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two decimal places.
A) 1.48
B) 1.10
C) 4.40
D) 1.45
E) 0.67
A) 1.48
B) 1.10
C) 4.40
D) 1.45
E) 0.67
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49
Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer to two decimal places.
A) 1.15
B) 8.37
C) 1.14
D) 0.40
E) 5.80
A) 1.15
B) 8.37
C) 1.14
D) 0.40
E) 5.80
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50
Evaluate the logarithm by using properties of logarithms and the following fact. Round your answer two decimal places.
A) 10.40
B) 1.91
C) 4.60
D) 6.76
E) 5.20
A) 10.40
B) 1.91
C) 4.60
D) 6.76
E) 5.20
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51
Use a calculator to determine whether expression (a) is equivalent to expression (b).
A) equivalent
B) not equivalent
A) equivalent
B) not equivalent
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52
Use the fact that the loudness of sound (in decibels) perceived by the human ear depends on intensity levels according to , where is the threshold of hearing for the average human ear. Find the loudness when I is 1,000 times .
A) 3
B) 30
C) 4
D) 300
E) 100
, where is the threshold of hearing for the average human ear. Find the loudness when I is 1,000 times . A) 3
B) 30
C) 4
D) 300
E) 100
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53
Find an equivalent expression for the given logarithm using the change-of-base formula.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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54
Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two decimal places.
A) 7.70
B) 14.82
C) 0.10
D) 1.82
E) 1.03
A) 7.70
B) 14.82
C) 0.10
D) 1.82
E) 1.03
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55
Write the expression as the sum or difference of two logarithmic functions containing no exponents.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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56
Use the formula .
In October 2004, an earthquake measuring 6.8 on the Richter scale occurred in Japan. The largest quake in Japan since 1990 was one in 1993 that registered 7.7. How many times more severe was the 1993 shock than the one in 2004 on the Richter scale? Round your answer to one decimal place.
A) 0.7 times as severe
B) 1.9 times as severe
C) 7.9 times as severe
D) 9.3 times as severe
E) 19.1 times as severe
. In October 2004, an earthquake measuring 6.8 on the Richter scale occurred in Japan. The largest quake in Japan since 1990 was one in 1993 that registered 7.7. How many times more severe was the 1993 shock than the one in 2004 on the Richter scale? Round your answer to one decimal place.
A) 0.7 times as severe
B) 1.9 times as severe
C) 7.9 times as severe
D) 9.3 times as severe
E) 19.1 times as severe
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57
Write the expression as the sum or difference of two logarithmic functions containing no exponents.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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58
Which answer choice is a graph of the function?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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59
Use a change-of-base formula to evaluate with a calculator or other technology. Round your answer to four decimal places.
A) 0.3801
B) 3.1754
C) 2.6309
D) 3.9890
E) 3.0445
with a calculator or other technology. Round your answer to four decimal places. A) 0.3801
B) 3.1754
C) 2.6309
D) 3.9890
E) 3.0445
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60
Use the properties of logarithms to write the expression as a single logarithm.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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61
The monthly sales S for a product is given by , where x is the number of months that have passed since the end of a promotional campaign. How many months after the end of the campaign will sales drop below 6,000, if no new campaign is initiated? Round to two decimal places.
A) 2.65 months
B) 4.32 months
C) 5.12 months
D) 6.16 months
E) 7.36 months
, where x is the number of months that have passed since the end of a promotional campaign. How many months after the end of the campaign will sales drop below 6,000, if no new campaign is initiated? Round to two decimal places. A) 2.65 months
B) 4.32 months
C) 5.12 months
D) 6.16 months
E) 7.36 months
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62
Solve the exponential equation. Round your answer to three decimal places, if necessary.
A) 125
B) 0.667
C) 0.861
D) 0.408
E) 63
A) 125
B) 0.667
C) 0.861
D) 0.408
E) 63
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63
The purchasing power P (in dollars) of an annual amount of A dollars after t years of 4% inflation decays according to . How long will it be before a pension of $60,000 per year has a purchasing power of $30,000? Round your answer to one decimal place.
A) 1.0 year
B) 9.7 years
C) 15.8 years
D) 35.7 years
E) 17.3 years
. How long will it be before a pension of $60,000 per year has a purchasing power of $30,000? Round your answer to one decimal place. A) 1.0 year
B) 9.7 years
C) 15.8 years
D) 35.7 years
E) 17.3 years
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64
Solve the exponential equation. Give the answer correct to 3 decimal places.
A) 0.802
B) 1.605
C) 2.493
D) 0.936
E) 3.744
A) 0.802
B) 1.605
C) 2.493
D) 0.936
E) 3.744
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65
Solve the exponential equation. Give answers correct to 3 decimal places.
A) 1.159
B) 0.093
C) 10.714
D) -0.093
E) -0.424
A) 1.159
B) 0.093
C) 10.714
D) -0.093
E) -0.424
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66
Solve the logarithmic equation . Round your answer to three decimal places.
A)
B)
C)
D)
E)
. Round your answer to three decimal places. A)
B)
C)
D)
E)
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67
An initial amount of 300 g of the radioactive isotope thorium-234 decays according to , where t is in years. How long does it take for half of the initial amount to disintegrate? This time is called the half-life of this isotope. Round your answer to one decimal place.
A) 240.5 years
B) 170.7 years
C) 24.5 years
D) 27.5 years
E) 245.1 years
, where t is in years. How long does it take for half of the initial amount to disintegrate? This time is called the half-life of this isotope. Round your answer to one decimal place. A) 240.5 years
B) 170.7 years
C) 24.5 years
D) 27.5 years
E) 245.1 years
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68
Solve the exponential equation. Give the answer correct to 3 decimal places.
A) -0.545
B) 9.639
C) 6.053
D) -9.639
E) -3.896
A) -0.545
B) 9.639
C) 6.053
D) -9.639
E) -3.896
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69
Solve the exponential equation. Give the answer correct to 3 decimal places.
A) -2.258
B) -0.523
C) 2.516
D) -0.503
E) 11.291
A) -2.258
B) -0.523
C) 2.516
D) -0.503
E) 11.291
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70
The purchasing power P (in dollars) of an annual amount of A dollars after t years of 4% inflation decays according to . Determine how large a pension A needs to be so that the purchasing power P is $70,000 after 25 years? Round your answer to the nearest dollar.
A) $260,683
B) $190,280
C) $115,410
D) $156,191
E) $95,141
. Determine how large a pension A needs to be so that the purchasing power P is $70,000 after 25 years? Round your answer to the nearest dollar. A) $260,683
B) $190,280
C) $115,410
D) $156,191
E) $95,141
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71
For selected years from 1960 to 2001, the national health care expenditures H, in billions of dollars, can be modeled by , where t is the number of years past 1960 (Source: U.S. Department of Health and Human Services). If this model remains accurate, in what year will national health care expenditures reach $3 trillion (that is, $3000 billion)? Round your answer to the nearest year.
A) in the year 2008
B) in the year 2018
C) in the year 2013
D) in the year 2011
E) in the year 2009
, where t is the number of years past 1960 (Source: U.S. Department of Health and Human Services). If this model remains accurate, in what year will national health care expenditures reach $3 trillion (that is, $3000 billion)? Round your answer to the nearest year. A) in the year 2008
B) in the year 2018
C) in the year 2013
D) in the year 2011
E) in the year 2009
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72
The monthly sales S for a product is given by , where x is the number of months that have passed since the end of a promotional campaign. Determine the monthly sales 4 months after the promotional campaign. Round your answer to the nearest cent.
A) $36,243.76
B) $2,038.11
C) $38,296.42
D) $1,226,626.51
E) $65,280.26
, where x is the number of months that have passed since the end of a promotional campaign. Determine the monthly sales 4 months after the promotional campaign. Round your answer to the nearest cent. A) $36,243.76
B) $2,038.11
C) $38,296.42
D) $1,226,626.51
E) $65,280.26
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73
Solve the logarithmic equation . Round your answer to three decimal places.
A)
B)
C)
D)
E)
. Round your answer to three decimal places. A)
B)
C)
D)
E)
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74
Between the years 1960 and 2002, the percent of women in the work force is given by , where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). What does this model estimate to be the percent of women in the work force in 2019? Round your answer to two decimal places.
A) 64.24
B) 61.69
C) 66.61
D) 75.71
E) 51.70
, where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). What does this model estimate to be the percent of women in the work force in 2019? Round your answer to two decimal places. A) 64.24
B) 61.69
C) 66.61
D) 75.71
E) 51.70
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75
Solve the logarithmic equation .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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76
The population y of a certain country was 100,000 in 1990 and 149,182 in 2000. Assume the formula applies to the growth of the country's population. Estimate the population of the country in 2010. Round your answer to the nearest human.
A) 149,182
B) 332,012
C) 222,554
D) 67,032
E) 44,933
applies to the growth of the country's population. Estimate the population of the country in 2010. Round your answer to the nearest human. A) 149,182
B) 332,012
C) 222,554
D) 67,032
E) 44,933
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77
Between the years 1960 and 2002, the percent of women in the work force is given by , where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). Graph this function with a graphing utility and use the graph drawn to estimate the year in which the percent reached 50. Round your answer to the nearest year.
A) 1964
B) 1970
C) 1976
D) 1984
E) 1989
, where x is the number of years past 1950 (Source: U.S. Bureau of Labor Statistics). Graph this function with a graphing utility and use the graph drawn to estimate the year in which the percent reached 50. Round your answer to the nearest year. A) 1964
B) 1970
C) 1976
D) 1984
E) 1989
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78
Use the formula to find the doubling time t, in years, for an investment at r% compounded n times per year. Suppose you make an investment of $1,300 at interest rate 11% compounded quarterly. How long will it take for your investment to double? Round your answer to two decimal places.
A) 2.13 years
B) 12.78 years
C) 3.19 years
D) 3.32 years
E) 6.39 years
to find the doubling time t, in years, for an investment at r% compounded n times per year. Suppose you make an investment of $1,300 at interest rate 11% compounded quarterly. How long will it take for your investment to double? Round your answer to two decimal places. A) 2.13 years
B) 12.78 years
C) 3.19 years
D) 3.32 years
E) 6.39 years
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79
The demand function for a certain commodity is given by , where q is number of units. At what price per unit will the quantity demanded equal 6 units? Round your answer to the nearest cent.
A) $0.25
B) $0.40
C) $2.01
D) $4.98
E) $0.74
, where q is number of units. At what price per unit will the quantity demanded equal 6 units? Round your answer to the nearest cent. A) $0.25
B) $0.40
C) $2.01
D) $4.98
E) $0.74
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80
The demand function for a certain commodity is given by , where q is number of units. If the price is $1.11 per unit, how many units will be demanded, to the nearest unit?
A) 9 units
B) 7 units
C) 11 units
D) 10 units
E) 12 units
, where q is number of units. If the price is $1.11 per unit, how many units will be demanded, to the nearest unit? A) 9 units
B) 7 units
C) 11 units
D) 10 units
E) 12 units
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