Question 1

Solve the equation for  . ​  ​

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Find the derivative of the function.
​

Accepted Answer

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

Question 3

Find the second derivative of the function.
​

Accepted Answer

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

Question 4

Find the second derivative of the function. ​  ​

Accepted Answer

A)   
B)  ​  
C)  ​  
D)  ​

Question 5

Simplify the expression.
​

Accepted Answer

The answer of Simplify the expression.
​ ...

Question 6

Find the interest rate needed for an investment of $6,000 to grow to an amount of $7,000 in 3 year(s) if interest is compounded continuously. Round your answer to two decimal places. ​

Accepted Answer

A)  5.28% per year 
B)  5.35% per year 
C)  5.14% per year 
D)  5.42% per year 
E)  5.21% per year

Question 7

How long will it take $4,000 to grow to $7,500 if the investment earns interest at the rate of 14% / year compounded monthly? Round your answer to one decimal place. ​

Accepted Answer

A)  4.5 year(s) 
B)  4.6 year(s) 
C)  4.8 year(s) 
D)  3.6 year(s)

Question 8

Given that a quantity Q(t) is described by the exponential growth function  where t is measured in minutes. What is the growth constant? What quantity is present initially? Complete the table of values. Round your answers to the nearest integer. t

Accepted Answer

A)   ​ ​ 
B)   
C)   ​ 
D)

Question 9

Bernie invested a sum of money 5 year(s) ago in a savings account, which has since paid interest at the rate of 6% / year compounded quarterly. His investment is now worth $22,927.66. How much did he originally invest? Round your answer to the nearest cent.
​  $__________

Accepted Answer

The answer of Bernie invested a sum of money 5...

Question 10

Find the derivative of the function. ​  ​

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Find the derivative of the function. ​  ​

Accepted Answer

A)   
B)  ​  
C)  ​  
D)  ​

Question 12

The monthly demand for a certain brand of perfume is given by the demand equation  where p denotes the retail unit price (in dollars) and x denotes the quantity (in 1-oz bottles) demanded.
​
Find the rate of change of the price to the nearest hundredth of a cent per bottle when x = 2,000.
​
__________ cents per bottle
​
What is the price per bottle when x = 2,000.
​
$__________ / bottle

Accepted Answer

The answer of The monthly demand for a certain brand...

Question 13

Evaluate the expression.
​  __________

Accepted Answer

The answer of Evaluate the expression.
​  __________...

Question 14

Find the derivative of the function.
​

Accepted Answer

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

Question 15

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 = $2,400, r = 6%, t = 10, compounded semiannually
​

Accepted Answer

A)  A = $4,353.64 
B)  A = $4,373.09 
C)  A = $4,334.67 
D)  A = $4,298.03

Question 16

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 dollar the rate of change of sales volume when t = 2.
​
$__________

Accepted Answer

The answer of A women's clothing chain store, found that...

Question 17

The height (in feet) of a certain kind of tree is approximated by  where t is the age of the tree in years. Estimate the age of a 60-ft tree. Please round the answer to two decimal places.
​
t = __________ years

Accepted Answer

The answer of The height (in feet) of a certain...

Question 18

Simplify the expression. ​  ​

Accepted Answer

A)   
B)   
C)   
D)

Question 19

Skeletal remains of the so-called "Pittsburgh Man", unearthed in Pennsylvania, had lost 74% of the carbon 14 they originally contained. Determine the approximate age of the bones. Round your answer to the nearest year.

Accepted Answer

The answer of Skeletal remains of the so-called "Pittsburgh Man",...

Question 20

The concentration of a drug in an organ at any time (in seconds) is given by where is measured in milligrams/cubic centimeter (mg/cm³). What is the initial concentration of the drug in the organ? __________mg/cm³ What is the concentration to four decimal places of the drug in the organ after 10 sec? __________ mg/cm³ What is the concentration to four decimal places of the drug in the organ after 30 sec? __________mg/cm³ What will be the concentration of the drug in the long run? __________mg/cm³

Accepted Answer

The answer of The concentration of a drug in an...

Exam 5: Exponential and Logarithmic Functions

Solve the equation for .

Find the derivative of the function.

Find the second derivative of the function.

Find the second derivative of the function.

Simplify the expression.

Find the interest rate needed for an investment of $6,000 to grow to an amount of $7,000 in 3 year(s) if interest is compounded continuously. Round your answer to two decimal places.

How long will it take $4,000 to grow to $7,500 if the investment earns interest at the rate of 14% / year compounded monthly? Round your answer to one decimal place.

Given that a quantity Q(t) is described by the exponential growth function where t is measured in minutes. What is the growth constant? What quantity is present initially? Complete the table of values. Round your answers to the nearest integer. t

Bernie invested a sum of money 5 year(s) ago in a savings account, which has since paid interest at the rate of 6% / year compounded quarterly. His investment is now worth $22,927.66. How much did he originally invest? Round your answer to the nearest cent. $__________

Find the derivative of the function.

Find the derivative of the function.

Evaluate the expression. __________

Find the derivative of the function.

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 = $2,400, r = 6%, t = 10, compounded semiannually

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 dollar the rate of change of sales volume when t = 2. $__________

The height (in feet) of a certain kind of tree is approximated by where t is the age of the tree in years. Estimate the age of a 60-ft tree. Please round the answer to two decimal places. t = __________ years

Simplify the expression.

Skeletal remains of the so-called "Pittsburgh Man", unearthed in Pennsylvania, had lost 74% of the carbon 14 they originally contained. Determine the approximate age of the bones. Round your answer to the nearest year.

Exam 5: Exponential and Logarithmic Functions

Solve the equation for . ​ ​

Find the derivative of the function. ​

Find the second derivative of the function. ​

Find the second derivative of the function. ​ ​

Simplify the expression. ​

Find the interest rate needed for an investment of $6,000 to grow to an amount of $7,000 in 3 year(s) if interest is compounded continuously. Round your answer to two decimal places. ​

How long will it take $4,000 to grow to $7,500 if the investment earns interest at the rate of 14% / year compounded monthly? Round your answer to one decimal place. ​

Given that a quantity Q(t) is described by the exponential growth function where t is measured in minutes. What is the growth constant? What quantity is present initially? Complete the table of values. Round your answers to the nearest integer. t

Bernie invested a sum of money 5 year(s) ago in a savings account, which has since paid interest at the rate of 6% / year compounded quarterly. His investment is now worth $22,927.66. How much did he originally invest? Round your answer to the nearest cent. ​ $__________

Find the derivative of the function. ​ ​

Find the derivative of the function. ​ ​

Evaluate the expression. ​ __________

Find the derivative of the function. ​

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 = $2,400, r = 6%, t = 10, compounded semiannually ​

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 dollar the rate of change of sales volume when t = 2. ​ $__________

The height (in feet) of a certain kind of tree is approximated by where t is the age of the tree in years. Estimate the age of a 60-ft tree. Please round the answer to two decimal places. ​ t = __________ years

Simplify the expression. ​ ​

Skeletal remains of the so-called "Pittsburgh Man", unearthed in Pennsylvania, had lost 74% of the carbon 14 they originally contained. Determine the approximate age of the bones. Round your answer to the nearest year.

Solve the equation for .

Find the derivative of the function.

Find the second derivative of the function.

Find the second derivative of the function.

Simplify the expression.

Find the interest rate needed for an investment of $6,000 to grow to an amount of $7,000 in 3 year(s) if interest is compounded continuously. Round your answer to two decimal places.

How long will it take $4,000 to grow to $7,500 if the investment earns interest at the rate of 14% / year compounded monthly? Round your answer to one decimal place.

Bernie invested a sum of money 5 year(s) ago in a savings account, which has since paid interest at the rate of 6% / year compounded quarterly. His investment is now worth $22,927.66. How much did he originally invest? Round your answer to the nearest cent. $__________

Find the derivative of the function.

Find the derivative of the function.

Evaluate the expression. __________

Find the derivative of the function.

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 = $2,400, r = 6%, t = 10, compounded semiannually

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 dollar the rate of change of sales volume when t = 2. $__________

The height (in feet) of a certain kind of tree is approximated by where t is the age of the tree in years. Estimate the age of a 60-ft tree. Please round the answer to two decimal places. t = __________ years

Simplify the expression.