Question 1

Complete the problem by using your calculator. Round your answer to three decimal places. ​
If   find   and   ​

Accepted Answer

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

Question 2

Suppose that a certain product has the following demand and supply functions, where p is the price per unit in dollars and q is the quantity produced. ​
Demand:   Supply:   ​
If a $15 tax per item is levied on the supplier, who passes it on to the consumer as a price increase, find the market equilibrium point after the tax.
​

Accepted Answer

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

Question 3

Find the domain and range of the function below. ​   ​

Accepted Answer

A) domain: real numbers  
Range: real numbers   
B) domain: real numbers  
Range: real numbers   
C) domain: all reals range: real numbers   
D) domain: real numbers  
Range: real numbers   
E) domain: all reals range: real numbers   
A) domain: real numbers  
Range: real numbers   
B) domain: real numbers  
Range: real numbers   
C) domain: all reals range: real numbers   
D) domain: real numbers  
Range: real numbers   
E) domain: all reals range: real numbers

Question 4

Dish Systems manufactures satellite systems and has its monthly profit P in dollars related to the number of satellite systems x by   . Find the number of systems that Dish Systems needs to produce and sell in order to break even. ​

Accepted Answer

A) 248 systems 
B) 1,890 systems 
C) 297 systems 
D) 39 systems 
E) 270 systems 
A) 248 systems 
B) 1,890 systems 
C) 297 systems 
D) 39 systems 
E) 270 systems

Question 5

Find the market equilibrium point for the following demand and supply functions below, where p is price per unit and q is the number of units produced and sold. ​
Demand:   Supply:   ​

Accepted Answer

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

Question 6

Write the equation of the line through (9,-6) that is parallel to   .

Accepted Answer

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

Question 7

Suppose the cost of a business property is $960,000, and a company wants to use a straight-line depreciation schedule for a period of 240 months. If y is the value of this property after x months, then the company's depreciation schedule will be the equation of a line through (0,960000) and (240,0). Write the equation of this depreciation schedule. ​

Accepted Answer

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

Question 8

If   , find   . ​

Accepted Answer

A) 3 
B) 15 
C) 27 
D) -3 
E) 45 
A) 3 
B) 15 
C) 27 
D) -3 
E) 45

Question 9

A manufacturer of DVD players has monthly fixed costs of $8,600 and variable costs of $70 per unit for one particular model. For this model DVD player, find the function   for monthly total costs where x denotes the number of units produced and sold. ​

Accepted Answer

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

Question 10

A function and its graph are given. Find the domain. ​   ​   ​

Accepted Answer

A) domain: all real numbers   
B) domain: all real numbers   
C) domain: all real numbers   
D) domain: all real numbers   
E) domain: all real numbers   
A) domain: all real numbers   
B) domain: all real numbers   
C) domain: all real numbers   
D) domain: all real numbers   
E) domain: all real numbers

Question 11

Use a calculator to solve the equation. Round your answer to three decimal places. ​   ​

Accepted Answer

A) x = 7.407 
B) x = 1.463 
C) x = 2.69 
D) x = 4.529 
E) x = 44.745 
A) x = 7.407 
B) x = 1.463 
C) x = 2.69 
D) x = 4.529 
E) x = 44.745

Question 12

Find the intercepts of the following function. ​   ​

Accepted Answer

A) x-intercept: -7.5 y-intercept: 15 
B) x-intercept: 15 y-intercept: 30 
C) x-intercept: -30 y-intercept: 7.5 
D) x-intercept: -15 y-intercept: 2 
E) x-intercept: 7.5 y-intercept: -15 
A) x-intercept: -7.5 y-intercept: 15 
B) x-intercept: 15 y-intercept: 30 
C) x-intercept: -30 y-intercept: 7.5 
D) x-intercept: -15 y-intercept: 2 
E) x-intercept: 7.5 y-intercept: -15

Question 13

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at each rate? ​

Accepted Answer

A) She should put $40,712 in the safe investment and $26,172 in the risky investment.​ 
B) She should put $18,175 in the safe investment and $32,715 in the risky investment. 
C) She should put $14,540 in the safe investment and $104,688 in the risky investment. 
D) She should put $77,150 in the safe investment and $68,250 in the risky investment. 
E) She should put $47,982 in the safe investment and $40,712 in the risky investment. 
A) She should put $40,712 in the safe investment and $26,172 in the risky investment.​ 
B) She should put $18,175 in the safe investment and $32,715 in the risky investment. 
C) She should put $14,540 in the safe investment and $104,688 in the risky investment. 
D) She should put $77,150 in the safe investment and $68,250 in the risky investment. 
E) She should put $47,982 in the safe investment and $40,712 in the risky investment.

Question 14

A manufacturer of DVD players has monthly fixed costs of $8,800 and variable costs of $65 unit for one particular model. The company sells this model to dealers for $100 each. Find the function for total revenue   where x denotes the number of DVD players produced and sold. ​

Accepted Answer

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

Question 15

Solve the equation. ​   ​

Accepted Answer

A)    
B) 41 
C)    
D)    
E) 10 
A)    
B) 41 
C)    
D)    
E) 10

Question 16

For many species of fish, the weight W is a function of the length L that can be expressed by ​   ​
Suppose that for a particular species k = 0.08 and that for this species the length (in centimeters) is a function of the number of years t the fish has been alive, and that this function is given by
​
​   ​
Find   in order to express W as a function of the age t of the fish.
​

Accepted Answer

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

Question 17

Use the left-to-right elimination method to solve the system. ​   ​

Accepted Answer

A) solution:   
B) solution:   
C) solution:   
D) solution:   
E) solution:   
A) solution:   
B) solution:   
C) solution:   
D) solution:   
E) solution:

Question 18

Each day, a young person should sleep 8 hours, plus   hour for each year that the person is under 17 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where   . ​

Accepted Answer

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

Question 19

Use a calculator to solve the equation. Round your answer to three decimal places. ​   ​

Accepted Answer

A) x = 3.759 
B) x = 0.266 
C) x = -0.516 
D) x = -1.938 
E) x = -0.877 
A) x = 3.759 
B) x = 0.266 
C) x = -0.516 
D) x = -1.938 
E) x = -0.877

Question 20

Let   . Find   . ​

Accepted Answer

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

Complete the problem by using your calculator. Round your answer to three decimal places. If find and

Find the domain and range of the function below.

Dish Systems manufactures satellite systems and has its monthly profit P in dollars related to the number of satellite systems x by . Find the number of systems that Dish Systems needs to produce and sell in order to break even.

Find the market equilibrium point for the following demand and supply functions below, where p is price per unit and q is the number of units produced and sold. Demand: Supply:

Write the equation of the line through (9,-6) that is parallel to .

If , find .

A manufacturer of DVD players has monthly fixed costs of $8,600 and variable costs of $70 per unit for one particular model. For this model DVD player, find the function for monthly total costs where x denotes the number of units produced and sold.

A function and its graph are given. Find the domain.

Use a calculator to solve the equation. Round your answer to three decimal places.

Find the intercepts of the following function.

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at each rate?

A manufacturer of DVD players has monthly fixed costs of $8,800 and variable costs of $65 unit for one particular model. The company sells this model to dealers for $100 each. Find the function for total revenue where x denotes the number of DVD players produced and sold.

Solve the equation.

Use the left-to-right elimination method to solve the system.

Each day, a young person should sleep 8 hours, plus hour for each year that the person is under 17 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where .

Use a calculator to solve the equation. Round your answer to three decimal places.

Let . Find .

Algebraic Concepts

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Exam 2: Linear Equations and Functions

Complete the problem by using your calculator. Round your answer to three decimal places. ​ If find and ​

Find the domain and range of the function below. ​ ​

Dish Systems manufactures satellite systems and has its monthly profit P in dollars related to the number of satellite systems x by . Find the number of systems that Dish Systems needs to produce and sell in order to break even. ​

Find the market equilibrium point for the following demand and supply functions below, where p is price per unit and q is the number of units produced and sold. ​ Demand: Supply: ​

Write the equation of the line through (9,-6) that is parallel to .

If , find . ​

A manufacturer of DVD players has monthly fixed costs of $8,600 and variable costs of $70 per unit for one particular model. For this model DVD player, find the function for monthly total costs where x denotes the number of units produced and sold. ​

A function and its graph are given. Find the domain. ​ ​ ​

Use a calculator to solve the equation. Round your answer to three decimal places. ​ ​

Find the intercepts of the following function. ​ ​

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at each rate? ​

A manufacturer of DVD players has monthly fixed costs of $8,800 and variable costs of $65 unit for one particular model. The company sells this model to dealers for $100 each. Find the function for total revenue where x denotes the number of DVD players produced and sold. ​

Solve the equation. ​ ​

Use the left-to-right elimination method to solve the system. ​ ​

Each day, a young person should sleep 8 hours, plus hour for each year that the person is under 17 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where . ​

Use a calculator to solve the equation. Round your answer to three decimal places. ​ ​

Let . Find . ​

Algebraic Concepts

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Complete the problem by using your calculator. Round your answer to three decimal places. If find and

Find the domain and range of the function below.

Dish Systems manufactures satellite systems and has its monthly profit P in dollars related to the number of satellite systems x by . Find the number of systems that Dish Systems needs to produce and sell in order to break even.

Find the market equilibrium point for the following demand and supply functions below, where p is price per unit and q is the number of units produced and sold. Demand: Supply:

If , find .

A manufacturer of DVD players has monthly fixed costs of $8,600 and variable costs of $70 per unit for one particular model. For this model DVD player, find the function for monthly total costs where x denotes the number of units produced and sold.

A function and its graph are given. Find the domain.

Use a calculator to solve the equation. Round your answer to three decimal places.

Find the intercepts of the following function.

One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at each rate?

A manufacturer of DVD players has monthly fixed costs of $8,800 and variable costs of $65 unit for one particular model. The company sells this model to dealers for $100 each. Find the function for total revenue where x denotes the number of DVD players produced and sold.

Solve the equation.

Use the left-to-right elimination method to solve the system.

Each day, a young person should sleep 8 hours, plus hour for each year that the person is under 17 years of age. Assuming the relation is linear, write the equation relating hours of sleep y and age x where .

Use a calculator to solve the equation. Round your answer to three decimal places.

Let . Find .