Question 1

How long will it take for $300 to double if it is invested at 7% annual interest, compounded continuously? Round your answer to two decimal places. __________ years

Accepted Answer

The answer of How long will it take for $300...

Question 2

Solve the equation.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

How long will it take for $800 to double if it is invested at 5% annual interest, compounded continuously?

Accepted Answer

A)  It will take approximately 14.18 years. 
B)  It will take approximately 13.86 years. 
C)  It will take approximately 14.62 years. 
D)  It will take approximately 15.00 years. 
E)  It will take approximately 6.02 years. 
A)  It will take approximately 14.18 years. 
B)  It will take approximately 13.86 years. 
C)  It will take approximately 14.62 years. 
D)  It will take approximately 15.00 years. 
E)  It will take approximately 6.02 years.

Question 4

Choose the graph of the function below.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Write the expression as a single logarithm.

Accepted Answer

The answer of Write the expression as a single logarithm....

Question 6

Use the change-of-base property to find a decimal approximation of the following logarithm. Round your answer to four decimal places, if necessary.

Accepted Answer

The answer of Use the change-of-base property to find a...

Question 7

Find the following logarithm to four decimal places, if necessary.

Accepted Answer

The answer of Find the following logarithm to four decimal...

Question 8

Solve the exponential equation. Round your answer to four decimal places, if necessary.   x = __________

Accepted Answer

The answer of Solve the exponential equation. Round your answer...

Question 9

Use properties of logarithms to expand the expression as much as possible.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary.

Accepted Answer

A)  1.7233 
B)  1.1606 
C)  0.1249 
D)  0.2877 
E)  0.8617 
A)  1.7233 
B)  1.1606 
C)  0.1249 
D)  0.2877 
E)  0.8617

Question 11

The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula:   The car depreciates in value according to the following depreciation table. AGE IN YEARS VALUE IN DOLLARS new 3 7,750 5,200 Find the annual rate of depreciation. Round the answer to the nearest tenth.

Accepted Answer

A)  11.4% 
B)  14.2% 
C)  30.2% 
D)  22.4% 
E)  12.5% 
A)  11.4% 
B)  14.2% 
C)  30.2% 
D)  22.4% 
E)  12.5%

Question 12

Use properties of logarithms to expand the expression as much as possible.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

Could the following table of values represent ordered pairs from a one-to-one function? x y - 2 0.5 - 1 0.6 0 0.7 1 0.8 2 0.9

Accepted Answer

A)  The given table of values could represent ordered pairs from a one-to-one function. 
B)  The given table of values could not represent ordered pairs from a one-to-one function. 
A)  The given table of values could represent ordered pairs from a one-to-one function. 
B)  The given table of values could not represent ordered pairs from a one-to-one function.

Question 14

How long will it take for $600 to double if it is invested at 9% annual interest compounded 12 times a year?

Accepted Answer

A)  It will take approximately 11.1 years. 
B)  It will take approximately 8.8 years. 
C)  It will take approximately 7.7 years. 
D)  It will take approximately 7.4 years. 
E)  It will take approximately 8.4 years. 
A)  It will take approximately 11.1 years. 
B)  It will take approximately 8.8 years. 
C)  It will take approximately 7.7 years. 
D)  It will take approximately 7.4 years. 
E)  It will take approximately 8.4 years.

Question 15

Simplify.

Accepted Answer

The answer of Simplify.  ...

Question 16

A golf ball is manufactured so that if it is dropped from A feet above the ground onto a hard surface, the maximum height of each bounce will be   of the height of the previous bounce. Find an exponential equation that gives the height h the ball will attain during the n th bounce. If the ball is dropped from 100 feet above the ground onto a hard surface, how high will it bounce on the 7th bounce?

Accepted Answer

A)  The exponential equation is   the height of the 7th bounce is approximately 0.051 feet. 
B)  The exponential equation is   the height of the 7th bounce is approximately 0.292 feet. 
C)  The exponential equation is   the height of the 7th bounce is approximately 0.046 feet. 
D)  The exponential equation is   the height of the 7th bounce is approximately 0.034 feet. 
E)  The exponential equation is   the height of the 7th bounce is approximately 0.031 feet. 
A)  The exponential equation is   the height of the 7th bounce is approximately 0.051 feet. 
B)  The exponential equation is   the height of the 7th bounce is approximately 0.292 feet. 
C)  The exponential equation is   the height of the 7th bounce is approximately 0.046 feet. 
D)  The exponential equation is   the height of the 7th bounce is approximately 0.034 feet. 
E)  The exponential equation is   the height of the 7th bounce is approximately 0.031 feet.

Question 17

Use the functions defined in Tables 1 and 2 to answer the following questions. Table 1 Table 2 x f ( x ) x g ( x ) - 6 - 3 - 3 1 1 3 - 1 3 3 - 1 3 6 6 5 5 - 6 Is f a one-to-one function? Is g a one-to-one function?

Accepted Answer

A)  f is a one-to-one function; g is a one-to-one function 
B)  f is a one-to-one function; g is not a one-to-one function 
C)  f is not a one-to-one function; g is a one-to-one function 
D)  f is not a one-to-one function; g is not a one-to-one function 
A)  f is a one-to-one function; g is a one-to-one function 
B)  f is a one-to-one function; g is not a one-to-one function 
C)  f is not a one-to-one function; g is a one-to-one function 
D)  f is not a one-to-one function; g is not a one-to-one function

Question 18

If a $30 investment is worth $90 today, how long ago must that $30 have been invested at 6% interest computed twice a year?

Accepted Answer

A)  That $30 must have been invested approximately 19.73 years ago. 
B)  That $30 must have been invested approximately 19.37 years ago. 
C)  That $30 must have been invested approximately 18.27 years ago. 
D)  That $30 must have been invested approximately 20.08 years ago. 
E)  That $30 must have been invested approximately 18.58 years ago. 
A)  That $30 must have been invested approximately 19.73 years ago. 
B)  That $30 must have been invested approximately 19.37 years ago. 
C)  That $30 must have been invested approximately 18.27 years ago. 
D)  That $30 must have been invested approximately 20.08 years ago. 
E)  That $30 must have been invested approximately 18.58 years ago.

Question 19

For the following one-to-one function, find the equation of the inverse.

Accepted Answer

The answer of For the following one-to-one function, find the...

Question 20

The function   where V is value and t is time in years, can be used to find the value of a crane for the first 6 years of use. What is the value of the crane after 2 years and 4 months?

Accepted Answer

A)  $152,276 
B)  $153,577 
C)  $153,510 
D)  $150,814 
E)  $150,903 
A)  $152,276 
B)  $153,577 
C)  $153,510 
D)  $150,814 
E)  $150,903

How long will it take for $300 to double if it is invested at 7% annual interest, compounded continuously? Round your answer to two decimal places. __________ years

Solve the equation.

How long will it take for $800 to double if it is invested at 5% annual interest, compounded continuously?

Choose the graph of the function below.

Write the expression as a single logarithm.

Use the change-of-base property to find a decimal approximation of the following logarithm. Round your answer to four decimal places, if necessary.

Find the following logarithm to four decimal places, if necessary.

Solve the exponential equation. Round your answer to four decimal places, if necessary. x = __________

Use properties of logarithms to expand the expression as much as possible.

Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary.

Use properties of logarithms to expand the expression as much as possible.

Could the following table of values represent ordered pairs from a one-to-one function? x y - 2 0.5 - 1 0.6 0 0.7 1 0.8 2 0.9

How long will it take for $600 to double if it is invested at 9% annual interest compounded 12 times a year?

Simplify.

Use the functions defined in Tables 1 and 2 to answer the following questions. Table 1 Table 2 x f ( x ) x g ( x ) - 6 - 3 - 3 1 1 3 - 1 3 3 - 1 3 6 6 5 5 - 6 Is f a one-to-one function? Is g a one-to-one function?

If a $30 investment is worth $90 today, how long ago must that $30 have been invested at 6% interest computed twice a year?

For the following one-to-one function, find the equation of the inverse.

The function where V is value and t is time in years, can be used to find the value of a crane for the first 6 years of use. What is the value of the crane after 2 years and 4 months?

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

The Slope of a Line

Rational Exponents

Completing the Square

The Circle

Sequences

Filters

Exam 11: Exponential Functions

How long will it take for $300 to double if it is invested at 7% annual interest, compounded continuously? Round your answer to two decimal places. __________ years

Solve the equation.

How long will it take for $800 to double if it is invested at 5% annual interest, compounded continuously?

Choose the graph of the function below.

Write the expression as a single logarithm.

Use the change-of-base property to find a decimal approximation of the following logarithm. Round your answer to four decimal places, if necessary.

Find the following logarithm to four decimal places, if necessary.

Solve the exponential equation. Round your answer to four decimal places, if necessary. x = __________

Use properties of logarithms to expand the expression as much as possible.

Use the change-of-base property to find the decimal approximation of the following logarithm. Round the answer to four decimal places, if necessary.

Use properties of logarithms to expand the expression as much as possible.

Could the following table of values represent ordered pairs from a one-to-one function? x y - 2 0.5 - 1 0.6 0 0.7 1 0.8 2 0.9

How long will it take for $600 to double if it is invested at 9% annual interest compounded 12 times a year?

Simplify.

Use the functions defined in Tables 1 and 2 to answer the following questions. Table 1 Table 2 x f ( x ) x g ( x ) - 6 - 3 - 3 1 1 3 - 1 3 3 - 1 3 6 6 5 5 - 6 Is f a one-to-one function? Is g a one-to-one function?

If a $30 investment is worth $90 today, how long ago must that $30 have been invested at 6% interest computed twice a year?

For the following one-to-one function, find the equation of the inverse.

The function where V is value and t is time in years, can be used to find the value of a crane for the first 6 years of use. What is the value of the crane after 2 years and 4 months?

Notation and Symbols

Simplifying Expressions

Paired Data and Graphing Ordered Pairs

Multiplication With Exponents

The Greatest Common Factor and Factoring by Grouping

Reducing Rational Expressions to Lowest Terms

Review of Solving Equations

The Slope of a Line

Rational Exponents

Completing the Square

The Circle

Sequences

Filters