Question 1

Solve the equation for   . ​   ​

Accepted Answer

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

Question 2

Find the effective rate corresponding to the given nominal rate. Round your answers to two decimal places. ​
10% / year compounded semiannually
​   _____%
​
3% / year compounded quarterly
​   _____%
​

Accepted Answer

A)  3.03%, 3.05% 
B)  3.04%, 3.05% 
C)  10.25%, 3.03% 
D)  3.03%, 3.04% 
A)  3.03%, 3.05% 
B)  3.04%, 3.05% 
C)  10.25%, 3.03% 
D)  3.03%, 3.04% C

Question 3

Solve the equation for   .
​

Accepted Answer

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

Question 4

Use logarithmic differentiation to find the derivative of the function. ​   ​

Accepted Answer

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

Question 5

The concentration of a drug in an organ at any time t (in seconds) is given by   where x(t) is measured in grams/cubic centimeter (g/cm3). Sketch the graph of x. ​

Accepted Answer

A)  ​   ​ 
B)  ​   
C)  ​   
A)  ​   ​ 
B)  ​   
C)  ​

Question 6

Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years. Round your answer to the nearest cent.
​
P = $180,000, r = 6%, t = 3, compounded daily
​
$__________

Accepted Answer

The answer of Find the accumulated amount A if the...

Question 7

Solve the equation for   . ​   ​

Accepted Answer

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

Question 8

Simplify the expression. ​   ​

Accepted Answer

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

Question 9

Find the derivative of the function. ​   ​

Accepted Answer

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

Question 10

Use logarithms to solve the equation for t. Round your answer to four decimal places.
​   ​
t = __________

Accepted Answer

The answer of Use logarithms to solve the equation for...

Question 11

Find the derivative of the function.
​

Accepted Answer

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

Question 12

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
​
The function   is continuous for all   .

Accepted Answer

The function @#IMG-DLM& is continuous an

Question 13

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by   dollars. Find to the nearest integer the rate of change of sales volume when t = 1. ​

Accepted Answer

A)  The rate of change of sales volume is - $0 per day. 
B)  The rate of change of sales volume is - $1,111 per day. 
C)  The rate of change of sales volume is - $3,704 per day. 
D)  The rate of change of sales volume is - $1,104 per day. 
A)  The rate of change of sales volume is - $0 per day. 
B)  The rate of change of sales volume is - $1,111 per day. 
C)  The rate of change of sales volume is - $3,704 per day. 
D)  The rate of change of sales volume is - $1,104 per day.

Question 14

Find the derivative of the function.
​

Accepted Answer

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

Question 15

Based on data obtained from the Census Bureau, the manager of Plymouth Van Lines estimates that the percent of the total population relocating in year t (   corresponds to the year 1960) may be approximated by the formula   . ​
Compute P'(10), P​'(20), and P​'(30).
​

Accepted Answer

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

Question 16

Use the laws of logarithms to simplify the expression. ​   ​

Accepted Answer

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

Question 17

Use logarithms to solve the equation for t. Please round the answer to four decimal places. ​   ​

Accepted Answer

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

Question 18

Find the interest rate needed for an investment of $3,000 to grow to an amount of $8,500 in 3 year(s) if interest is compounded monthly. Round your answer to the nearest hundredth.
​
__________%

Accepted Answer

The answer of Find the interest rate needed for an...

Question 19

A condominium complex was purchased by a group of private investors for $1.3 million and sold 7 year(s) later for $3.9 million. Find the annual rate of return (compounded continuously) on their investment. Round your answer to two decimal places. ​

Accepted Answer

A)  15.67% per year 
B)  15.63% per year 
C)  15.69% per year 
D)  15.61% per year 
E)  15.65% per year 
A)  15.67% per year 
B)  15.63% per year 
C)  15.69% per year 
D)  15.61% per year 
E)  15.65% per year

Question 20

Find the present value of $59,835 due in 3 year(s) at an interest rate of 9% / year compounded continuously. Round your answer to the nearest dollar.
​
$__________

Accepted Answer

The answer of Find the present value of $59,835 due...

Solve the equation for .

Find the effective rate corresponding to the given nominal rate. Round your answers to two decimal places. 10% / year compounded semiannually _% 3% / year compounded quarterly _%

Solve the equation for .

Use logarithmic differentiation to find the derivative of the function.

The concentration of a drug in an organ at any time t (in seconds) is given by where x(t) is measured in grams/cubic centimeter (g/cm³). Sketch the graph of x.

Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years. Round your answer to the nearest cent. P = $180,000, r = 6%, t = 3, compounded daily $__________

Solve the equation for .

Simplify the expression.

Find the derivative of the function.

Use logarithms to solve the equation for t. Round your answer to four decimal places. t = __________

Find the derivative of the function.

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The function is continuous for all .

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by dollars. Find to the nearest integer the rate of change of sales volume when t = 1.

Find the derivative of the function.

Based on data obtained from the Census Bureau, the manager of Plymouth Van Lines estimates that the percent of the total population relocating in year t ( corresponds to the year 1960) may be approximated by the formula . Compute P'(10), P'(20), and P'(30).

Use the laws of logarithms to simplify the expression.

Use logarithms to solve the equation for t. Please round the answer to four decimal places.

Find the interest rate needed for an investment of $3,000 to grow to an amount of $8,500 in 3 year(s) if interest is compounded monthly. Round your answer to the nearest hundredth. __________%

A condominium complex was purchased by a group of private investors for $1.3 million and sold 7 year(s) later for $3.9 million. Find the annual rate of return (compounded continuously) on their investment. Round your answer to two decimal places.

Find the present value of $59,835 due in 3 year(s) at an interest rate of 9% / year compounded continuously. Round your answer to the nearest dollar. $__________

Preliminaries

Functions, Limits, and the Derivative

Differentiation

Applications of the Derivative

Integration

Additional Topics in Integration

Calculus of Several Variables

Differential Equations

Probability and Calculus

Taylor Polynomials and Infinite Series

Trigonometric Functions

Filters

Exam 5: Exponential and Logarithmic Functions

Solve the equation for . ​ ​

Find the effective rate corresponding to the given nominal rate. Round your answers to two decimal places. ​ 10% / year compounded semiannually ​ _____% ​ 3% / year compounded quarterly ​ _____% ​

Solve the equation for . ​

Use logarithmic differentiation to find the derivative of the function. ​ ​

The concentration of a drug in an organ at any time t (in seconds) is given by where x(t) is measured in grams/cubic centimeter (g/cm3). Sketch the graph of x. ​

Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years. Round your answer to the nearest cent. ​ P = $180,000, r = 6%, t = 3, compounded daily ​ $__________

Solve the equation for . ​ ​

Simplify the expression. ​ ​

Find the derivative of the function. ​ ​

Use logarithms to solve the equation for t. Round your answer to four decimal places. ​ ​ t = __________

Find the derivative of the function. ​

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. ​ The function is continuous for all .

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by dollars. Find to the nearest integer the rate of change of sales volume when t = 1. ​

Find the derivative of the function. ​

Based on data obtained from the Census Bureau, the manager of Plymouth Van Lines estimates that the percent of the total population relocating in year t ( corresponds to the year 1960) may be approximated by the formula . ​ Compute P'(10), P​'(20), and P​'(30). ​

Use the laws of logarithms to simplify the expression. ​ ​

Use logarithms to solve the equation for t. Please round the answer to four decimal places. ​ ​

Find the interest rate needed for an investment of $3,000 to grow to an amount of $8,500 in 3 year(s) if interest is compounded monthly. Round your answer to the nearest hundredth. ​ __________%

A condominium complex was purchased by a group of private investors for $1.3 million and sold 7 year(s) later for $3.9 million. Find the annual rate of return (compounded continuously) on their investment. Round your answer to two decimal places. ​

Find the present value of $59,835 due in 3 year(s) at an interest rate of 9% / year compounded continuously. Round your answer to the nearest dollar. ​ $__________

Preliminaries

Functions, Limits, and the Derivative

Differentiation

Applications of the Derivative

Integration

Additional Topics in Integration

Calculus of Several Variables

Differential Equations

Probability and Calculus

Taylor Polynomials and Infinite Series

Trigonometric Functions

Filters

Solve the equation for .

Find the effective rate corresponding to the given nominal rate. Round your answers to two decimal places. 10% / year compounded semiannually _% 3% / year compounded quarterly _%

Solve the equation for .

Use logarithmic differentiation to find the derivative of the function.

The concentration of a drug in an organ at any time t (in seconds) is given by where x(t) is measured in grams/cubic centimeter (g/cm³). Sketch the graph of x.

Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years. Round your answer to the nearest cent. P = $180,000, r = 6%, t = 3, compounded daily $__________

Solve the equation for .

Simplify the expression.

Find the derivative of the function.

Use logarithms to solve the equation for t. Round your answer to four decimal places. t = __________

Find the derivative of the function.

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The function is continuous for all .

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by dollars. Find to the nearest integer the rate of change of sales volume when t = 1.

Find the derivative of the function.

Based on data obtained from the Census Bureau, the manager of Plymouth Van Lines estimates that the percent of the total population relocating in year t ( corresponds to the year 1960) may be approximated by the formula . Compute P'(10), P'(20), and P'(30).

Use the laws of logarithms to simplify the expression.

Use logarithms to solve the equation for t. Please round the answer to four decimal places.

Find the interest rate needed for an investment of $3,000 to grow to an amount of $8,500 in 3 year(s) if interest is compounded monthly. Round your answer to the nearest hundredth. __________%

A condominium complex was purchased by a group of private investors for $1.3 million and sold 7 year(s) later for $3.9 million. Find the annual rate of return (compounded continuously) on their investment. Round your answer to two decimal places.

Find the present value of $59,835 due in 3 year(s) at an interest rate of 9% / year compounded continuously. Round your answer to the nearest dollar. $__________