Deck 6: Logarithmic Links: Logarithmic and Exponential Functions

ملء الشاشة (f)
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سؤال
Find a value for a to make the inequality true:
Find a value for a to make the inequality true:   <div style=padding-top: 35px>
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Write your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Write your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Solve the equation for t.
Solve the equation for t.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution to the equation? <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $420,000? Round your answer to the nearest year. <div style=padding-top: 35px> , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $420,000?
Round your answer to the nearest year.
سؤال
The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the value of the investment doubles? Round your answer to the nearest year. <div style=padding-top: 35px> , gives the value, V, of an investment t years after the initial investment. How many years until the value of the investment doubles?
Round your answer to the nearest year.
سؤال
Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $490,000? Round your answer to the nearest year. <div style=padding-top: 35px> , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $490,000?
Round your answer to the nearest year.
سؤال
Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account? Round your answer to the nearest year. <div style=padding-top: 35px> , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account?
Round your answer to the nearest year.
سؤال
The number of people, N, visiting a particular web site increases 10% each week. If the web site had 90,000 visitors this week, how many weeks until the number of people reaches 340,000?
Round your answer to the nearest week.
سؤال
The number of people, N, visiting a particular web site increases 8% each week. If the web site had 20,000 visitors this week, how many weeks until the number of people doubles?
Round your answer to the nearest week.
سؤال
Radium-226 has a half-life of 1600 years. If a fossil has 44% of it's original Radium-226 left, how old is it?
Round your answer to the nearest tenth of a year.
سؤال
Solve the equation for x.
Solve the equation for x.  <div style=padding-top: 35px>
سؤال
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Write your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:  <div style=padding-top: 35px>
سؤال
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.   <div style=padding-top: 35px>
سؤال
Contract the following expression using rules of logarithms. Write your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Solve the equation for t.
Solve the equation for t.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution to the equation: <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Solve the equation for t.
Solve the equation for t.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution to the equation: <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $1,200? Round your answer to the nearest year. <div style=padding-top: 35px> , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $1,200?
Round your answer to the nearest year.
سؤال
The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the worth of the investment doubles? Round your answer to the nearest year. <div style=padding-top: 35px> , gives the value, V, of an investment t years after the initial investment. How many years until the worth of the investment doubles?
Round your answer to the nearest year.
سؤال
Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $360,000? Round your answer to the nearest year. <div style=padding-top: 35px> , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $360,000?
Round your answer to the nearest year.
سؤال
Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account? Round your answer to the nearest year. <div style=padding-top: 35px> , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account?
Round your answer to the nearest year.
سؤال
Radium-226 has a half-life of 1600 years.

A) Find the continuous decay rate. Write your answer as a percent rounded 4 decimal places.
B) Then find the age of a fossil that has 67% of it's original Radium-226 left?Round your answer to the nearest year.
سؤال
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
The population of a town grew from 10,000 in 1999 to 12,000 in 2003. Find A) the annual growth rate and B) the continuou growth rate.
Write your answer as a percent rounded to 2 decimal places, like 13.45%.
سؤال
The population of a town grew from 9,000 in 1996 to 13,000 in 1999.

A) Find a function of the form, <strong>The population of a town grew from 9,000 in 1996 to 13,000 in 1999.</strong> A) Find a function of the form,   , for the population, P, of the town as a function of t, the number of years after 1996.Round values to 2 decimal places. B) Use this function to find the population in 2005.Round your answer to the nearest person. <div style=padding-top: 35px> , for the population, P, of the town as a function of t, the number of years after 1996.Round values to 2 decimal places.
B) Use this function to find the population in 2005.Round your answer to the nearest person.
سؤال
Find k by converting a to Find k by converting a to   .   Round your answer to 2 decimal places. <div style=padding-top: 35px> .
Find k by converting a to   .   Round your answer to 2 decimal places. <div style=padding-top: 35px>
Round your answer to 2 decimal places.
سؤال
Find A) the continuous growth factor and B) the (annual) growth factor from the function,
Find A) the continuous growth factor and B) the (annual) growth factor from the function,   Write your answers as percents rounded to 2 decimal places, like 23.75%. <div style=padding-top: 35px> Write your answers as percents rounded to 2 decimal places, like 23.75%.
سؤال
A growth rate of 14% of corresponds to what continuous growth rate?
Write your answer as a percent rounded to 2 decimal places.
سؤال
A continuous growth rate of 49% of corresponds to what growth rate?
Write your answer as a percent rounded to 2 decimal places.
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Deck 6: Logarithmic Links: Logarithmic and Exponential Functions
1
Find a value for a to make the inequality true:
Find a value for a to make the inequality true:
3
2
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
3
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

4
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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5
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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6
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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7
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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8
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
9
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
10
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
11
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
12
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
13
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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14
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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15
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
16
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
17
Contract the following expression using rules of logarithms. Write your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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18
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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19
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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20
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
21
Contract the following expression using rules of logarithms. Write your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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22
Solve the equation for t.
Solve the equation for t.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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23
Which of the following is the exact solution to the equation? <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution to the equation?  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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24
The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $420,000? Round your answer to the nearest year. , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $420,000?
Round your answer to the nearest year.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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25
The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the value of the investment doubles? Round your answer to the nearest year. , gives the value, V, of an investment t years after the initial investment. How many years until the value of the investment doubles?
Round your answer to the nearest year.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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26
Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $490,000? Round your answer to the nearest year. , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $490,000?
Round your answer to the nearest year.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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27
Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account? Round your answer to the nearest year. , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account?
Round your answer to the nearest year.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
28
The number of people, N, visiting a particular web site increases 10% each week. If the web site had 90,000 visitors this week, how many weeks until the number of people reaches 340,000?
Round your answer to the nearest week.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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29
The number of people, N, visiting a particular web site increases 8% each week. If the web site had 20,000 visitors this week, how many weeks until the number of people doubles?
Round your answer to the nearest week.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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30
Radium-226 has a half-life of 1600 years. If a fossil has 44% of it's original Radium-226 left, how old is it?
Round your answer to the nearest tenth of a year.
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31
Solve the equation for x.
Solve the equation for x.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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32
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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33
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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34
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
35
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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k this deck
36
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
37
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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38
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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39
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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40
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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41
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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42
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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43
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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44
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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45
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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46
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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47
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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48
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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49
Contract the following expression using rules of logarithms. Express your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Express your answer as a single logarithm.  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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50
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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51
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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52
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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53
Contract the following expression using rules of logarithms. Write your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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54
Expand the following expression using rules of logarithms:
Expand the following expression using rules of logarithms:
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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55
Expand the following expression using rules of logarithms: <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)

A) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
B) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
C) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
D) <strong>Expand the following expression using rules of logarithms:  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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56
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
Contract the following expression using rules of logarithms. Write your answer as a single logarithm.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
57
Contract the following expression using rules of logarithms. Write your answer as a single logarithm. <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)

A) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
B) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
C) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
D) <strong>Contract the following expression using rules of logarithms. Write your answer as a single logarithm.  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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58
Solve the equation for t.
Solve the equation for t.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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59
Which of the following is the exact solution to the equation: <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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60
Solve the equation for t.
Solve the equation for t.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
k this deck
61
Which of the following is the exact solution to the equation: <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution to the equation:  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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62
The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $1,200? Round your answer to the nearest year. , gives the value, V, of an investment t years after the initial investment. How many years until the investment is worth $1,200?
Round your answer to the nearest year.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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63
The function, The function,   , gives the value, V, of an investment t years after the initial investment. How many years until the worth of the investment doubles? Round your answer to the nearest year. , gives the value, V, of an investment t years after the initial investment. How many years until the worth of the investment doubles?
Round your answer to the nearest year.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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64
Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $360,000? Round your answer to the nearest year. , gives the money remaining, M, in the account t years after her retirement. How many years until the account balance is $360,000?
Round your answer to the nearest year.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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65
Upon her retirement, Mary begins to receive money from a retirement account. The function, Upon her retirement, Mary begins to receive money from a retirement account. The function,   , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account? Round your answer to the nearest year. , gives the money remaining, M, in the account t years after her retirement. How many years until Mary has received half of the money from the account?
Round your answer to the nearest year.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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66
Radium-226 has a half-life of 1600 years.

A) Find the continuous decay rate. Write your answer as a percent rounded 4 decimal places.
B) Then find the age of a fossil that has 67% of it's original Radium-226 left?Round your answer to the nearest year.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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67
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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68
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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69
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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70
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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71
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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72
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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73
Solve the equation for x.
Solve the equation for x.   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
فتح الحزمة
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74
Which of the following is the exact solution of the equation? <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)

A) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
B) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
C) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
D) <strong>Which of the following is the exact solution of the equation?  </strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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75
The population of a town grew from 10,000 in 1999 to 12,000 in 2003. Find A) the annual growth rate and B) the continuou growth rate.
Write your answer as a percent rounded to 2 decimal places, like 13.45%.
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76
The population of a town grew from 9,000 in 1996 to 13,000 in 1999.

A) Find a function of the form, <strong>The population of a town grew from 9,000 in 1996 to 13,000 in 1999.</strong> A) Find a function of the form,   , for the population, P, of the town as a function of t, the number of years after 1996.Round values to 2 decimal places. B) Use this function to find the population in 2005.Round your answer to the nearest person. , for the population, P, of the town as a function of t, the number of years after 1996.Round values to 2 decimal places.
B) Use this function to find the population in 2005.Round your answer to the nearest person.
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77
Find k by converting a to Find k by converting a to   .   Round your answer to 2 decimal places. .
Find k by converting a to   .   Round your answer to 2 decimal places.
Round your answer to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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78
Find A) the continuous growth factor and B) the (annual) growth factor from the function,
Find A) the continuous growth factor and B) the (annual) growth factor from the function,   Write your answers as percents rounded to 2 decimal places, like 23.75%. Write your answers as percents rounded to 2 decimal places, like 23.75%.
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79
A growth rate of 14% of corresponds to what continuous growth rate?
Write your answer as a percent rounded to 2 decimal places.
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80
A continuous growth rate of 49% of corresponds to what growth rate?
Write your answer as a percent rounded to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.
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افتح القفل للوصول البطاقات البالغ عددها 108 في هذه المجموعة.