Question 1

Graph the function. ​   ​

Accepted Answer

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

Question 2

Suppose that the market share y (as a percent) that a company expects t months after a new product is introduced is given by   . What is the market share after the first month (to the nearest percent)? Round your answer to two decimal place. ​

Accepted Answer

A)  ​30.77 % 
B)  ​0.12 % 
C)  ​1.46 % 
D)  ​1.54 % 
E)  ​29.27 % 
A)  ​30.77 % 
B)  ​0.12 % 
C)  ​1.46 % 
D)  ​1.54 % 
E)  ​29.27 %

Question 3

Use properties of logarithms or a definition to simplify the expression. ​
If   , find   .
​

Accepted Answer

A)  5 
B)  10 
C)    
D)  100,000 
E)  50 
A)  5 
B)  10 
C)    
D)  100,000 
E)  50

Question 4

Write the equation in logarithmic form. ​   ​

Accepted Answer

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

Question 5

Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two decimal places. ​   ​   ​

Accepted Answer

A)  1.48 
B)  1.10 
C)  4.40 
D)  1.45 
E)  0.67 
A)  1.48 
B)  1.10 
C)  4.40 
D)  1.45 
E)  0.67

Question 6

The following table gives the percent of the U.S. population with Internet connections for the years 1997 to 2003. Use a calculator to find the logistic function that models these data and then use the model to predict the percent of the U.S. population with Internet connections in 2015. Use x as the number of years past 1995. Round your answer to one decimal place. ​

Accepted Answer

A)  ​63.9 % 
B)  ​66.8 % 
C)  ​62.3 % 
D)  ​59.6 % 
E)  ​56.8 % 
A)  ​63.9 % 
B)  ​66.8 % 
C)  ​62.3 % 
D)  ​59.6 % 
E)  ​56.8 %

Question 7

Graph the function   . ​

Accepted Answer

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

Question 8

The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with   ) is given by the equation   How long does it take for the concentration to reach 90? Round your answer to two decimal places. ​

Accepted Answer

A)  ​4.98 hours 
B)  2.98 hours 
C)  ​0.23 hour 
D)  ​1.39 hours 
E)  ​100.00 hours 
A)  ​4.98 hours 
B)  2.98 hours 
C)  ​0.23 hour 
D)  ​1.39 hours 
E)  ​100.00 hours

Question 9

The demand function for a certain commodity is given by   , where q is number of units. If the price is $1.11 per unit, how many units will be demanded, to the nearest unit? ​

Accepted Answer

A)  ​9 units 
B)  ​7 units 
C)  ​11 units 
D)  ​10 units 
E)  ​12 units 
A)  ​9 units 
B)  ​7 units 
C)  ​11 units 
D)  ​10 units 
E)  ​12 units

Graph the function.

Suppose that the market share y (as a percent) that a company expects t months after a new product is introduced is given by . What is the market share after the first month (to the nearest percent)? Round your answer to two decimal place.

Use properties of logarithms or a definition to simplify the expression. If , find .

Write the equation in logarithmic form.

Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two decimal places.

Graph the function .

The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with ) is given by the equation How long does it take for the concentration to reach 90? Round your answer to two decimal places.

The demand function for a certain commodity is given by , where q is number of units. If the price is $1.11 per unit, how many units will be demanded, to the nearest unit?

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

Exam 5: Exponential and Logarithmic Functions

Graph the function. ​ ​

Suppose that the market share y (as a percent) that a company expects t months after a new product is introduced is given by . What is the market share after the first month (to the nearest percent)? Round your answer to two decimal place. ​

Use properties of logarithms or a definition to simplify the expression. ​ If , find . ​

Write the equation in logarithmic form. ​ ​

Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two decimal places. ​ ​ ​

Graph the function . ​

The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with ) is given by the equation How long does it take for the concentration to reach 90? Round your answer to two decimal places. ​

The demand function for a certain commodity is given by , where q is number of units. If the price is $1.11 per unit, how many units will be demanded, to the nearest unit? ​

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Mathematics of Finance

Introduction to Probability

Further Topics in Probability and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

Graph the function.

Suppose that the market share y (as a percent) that a company expects t months after a new product is introduced is given by . What is the market share after the first month (to the nearest percent)? Round your answer to two decimal place.

Use properties of logarithms or a definition to simplify the expression. If , find .

Write the equation in logarithmic form.

Evaluate the logarithm by using properties of logarithms and the following facts. Round your answer two decimal places.

Graph the function .

The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with ) is given by the equation How long does it take for the concentration to reach 90? Round your answer to two decimal places.

The demand function for a certain commodity is given by , where q is number of units. If the price is $1.11 per unit, how many units will be demanded, to the nearest unit?