Question 1

How long will it take an investment of $9,000 to double if the investment earns interest at the rate of 9% / year compounded monthly?

Accepted Answer

A)  7.5 year(s) 
B)  7.8 year(s) 
C)  7.7 year(s) 
D)  8.0 year(s) 
A)  7.5 year(s) 
B)  7.8 year(s) 
C)  7.7 year(s) 
D)  8.0 year(s)

Question 2

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 3

The monthly demand for a certain brand of table wine is given by the demand equation   where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. Find the rate of change of the price to the nearest hundredth of a cent per case when x = 1,000.

Accepted Answer

A)  The rate of change of the price is - 1.80 cents per case. 
B)  The rate of change of the price is - 2.10 cents per case. 
C)  The rate of change of the price is - 4.08 cents per case. 
D)  The rate of change of the price is - 2.04 cents per case. 
A)  The rate of change of the price is - 1.80 cents per case. 
B)  The rate of change of the price is - 2.10 cents per case. 
C)  The rate of change of the price is - 4.08 cents per case. 
D)  The rate of change of the price is - 2.04 cents per case.

Question 4

Find the derivative of the function.

Accepted Answer

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

Question 5

Evaluate the expression.

Accepted Answer

A)  - 64 
B)  - 25 
C)  - 125 
D)  - 124 
A)  - 64 
B)  - 25 
C)  - 125 
D)  - 124

Question 6

Find the interest rate needed for an investment of $5,000 to grow to an amount of $7,500 in 3 year(s) if interest is compounded quarterly. Round your answer to two decimal places.

Accepted Answer

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

Question 7

Use logarithmic differentiation to find the derivative of the function.

Accepted Answer

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

Question 8

Find the derivative of the function.

Accepted Answer

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

Question 9

A study on worldwide oil use was prepared for a major oil company. The study predicted that the amount of oil used to fuel productivity in a certain country is given by   where f (t) denotes the number of barrels per $1,000 of economic output and t is measured in decades (   corresponds to 1965). Compute   and   . Round the answer to the nearest hundredth.

Accepted Answer

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

Question 10

Determine the intervals where the function   is decreasing.

Accepted Answer

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

Question 11

Find the derivative of the function.

Accepted Answer

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

Question 12

Find the derivative of the function.

Accepted Answer

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

Question 13

Solve the equation for x.

Accepted Answer

The answer of Solve the equation for x.  ...

Question 14

Sketch the graph of the equation.

Accepted Answer

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

Question 15

At an annual inflation rate of 5.5%, how long will it take the Consumer Price Index (CPI) to double?

Accepted Answer

A)  12.63 year(s) 
B)  12.95 year(s) 
C)  12.78 year(s) 
D)  12.69 year(s) 
A)  12.63 year(s) 
B)  12.95 year(s) 
C)  12.78 year(s) 
D)  12.69 year(s)

Question 16

Bernie invested a sum of money 7 year(s) ago in a savings account, which has since paid interest at the rate of 8% / year compounded quarterly. His investment is now worth $24,204.54. How much did he originally invest? Round your answer to the nearest cent.   $__________

Accepted Answer

The answer of Bernie invested a sum of money 7...

Question 17

Use the definition of a logarithm to prove   .

Accepted Answer

A)  By the definition   means
  . 
B)  By the definition   means
  . 
C)  By the definition   means
  . 
A)  By the definition   means
  . 
B)  By the definition   means
  . 
C)  By the definition   means
  .

Question 18

A condominium complex was purchased by a group of private investors for $1.5 million and sold 7 year(s) later for $3.7 million. Find the annual rate of return (compounded continuously) on their investment. Round your answer to the nearest hundredth.
Annual rate is __________% per year.

Accepted Answer

The answer of A condominium complex was purchased by a...

Question 19

Determine the intervals of concavity for the function.

Accepted Answer

A)  Concave downward on   Concave upward on
  
B)  Concave downward on   Concave upward on
  
C)  Concave downward on   
D)  Concave downward on   Concave upward on
  
E)  Concave downward on   Concave upward on
  
A)  Concave downward on   Concave upward on
  
B)  Concave downward on   Concave upward on
  
C)  Concave downward on   
D)  Concave downward on   Concave upward on
  
E)  Concave downward on   Concave upward on

Question 20

The percent of a certain brand of computer chips that will fail after t years of use is estimated to be   .
What percent of this brand of computer chips are expected to be usable after 5 years? Round your answer to one decimal place.
__________%

Accepted Answer

The answer of The percent of a certain brand of...

How long will it take an investment of $9,000 to double if the investment earns interest at the rate of 9% / year compounded monthly?

Find the derivative of the function.

The monthly demand for a certain brand of table wine is given by the demand equation where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. Find the rate of change of the price to the nearest hundredth of a cent per case when x = 1,000.

Find the derivative of the function.

Evaluate the expression.

Find the interest rate needed for an investment of $5,000 to grow to an amount of $7,500 in 3 year(s) if interest is compounded quarterly. Round your answer to two decimal places.

Use logarithmic differentiation to find the derivative of the function.

Find the derivative of the function.

Determine the intervals where the function is decreasing.

Find the derivative of the function.

Find the derivative of the function.

Solve the equation for x.

Sketch the graph of the equation.

At an annual inflation rate of 5.5%, how long will it take the Consumer Price Index (CPI) to double?

Bernie invested a sum of money 7 year(s) ago in a savings account, which has since paid interest at the rate of 8% / year compounded quarterly. His investment is now worth $24,204.54. How much did he originally invest? Round your answer to the nearest cent. $__________

Use the definition of a logarithm to prove .

A condominium complex was purchased by a group of private investors for $1.5 million and sold 7 year(s) later for $3.7 million. Find the annual rate of return (compounded continuously) on their investment. Round your answer to the nearest hundredth. Annual rate is __________% per year.

Determine the intervals of concavity for the function.

The percent of a certain brand of computer chips that will fail after t years of use is estimated to be . What percent of this brand of computer chips are expected to be usable after 5 years? Round your answer to one decimal place. __________%

Preliminaries

Functions, Limits and the Derivative

Differentiation

Applications of the Derivative

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters

Exam 5: Exponential and Logarithmic Functions

How long will it take an investment of $9,000 to double if the investment earns interest at the rate of 9% / year compounded monthly?

Find the derivative of the function.

The monthly demand for a certain brand of table wine is given by the demand equation where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. Find the rate of change of the price to the nearest hundredth of a cent per case when x = 1,000.

Find the derivative of the function.

Evaluate the expression.

Find the interest rate needed for an investment of $5,000 to grow to an amount of $7,500 in 3 year(s) if interest is compounded quarterly. Round your answer to two decimal places.

Use logarithmic differentiation to find the derivative of the function.

Find the derivative of the function.

Determine the intervals where the function is decreasing.

Find the derivative of the function.

Find the derivative of the function.

Solve the equation for x.

Sketch the graph of the equation.

At an annual inflation rate of 5.5%, how long will it take the Consumer Price Index (CPI) to double?

Bernie invested a sum of money 7 year(s) ago in a savings account, which has since paid interest at the rate of 8% / year compounded quarterly. His investment is now worth $24,204.54. How much did he originally invest? Round your answer to the nearest cent. $__________

Use the definition of a logarithm to prove .

A condominium complex was purchased by a group of private investors for $1.5 million and sold 7 year(s) later for $3.7 million. Find the annual rate of return (compounded continuously) on their investment. Round your answer to the nearest hundredth. Annual rate is __________% per year.

Determine the intervals of concavity for the function.

The percent of a certain brand of computer chips that will fail after t years of use is estimated to be . What percent of this brand of computer chips are expected to be usable after 5 years? Round your answer to one decimal place. __________%

Preliminaries

Functions, Limits and the Derivative

Differentiation

Applications of the Derivative

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters