Question 1

A company produces a product for which the variable cost per unit is $3.50 and fixed cost is $20,000 per year.Next year,the company wants the total cost to be $48,000.How many units of the product should be made next year?

Accepted Answer

8000

Question 2

Researchers at a university need a 10,000 square meter rectangular plot on which to grow three hybrids of corn.The plot is to be enclosed by fencing and divided into three equal subplots by a pair of fences both parallel to the same pair of sides of the rectangle.If 600 meters of fencing are to be used for the project,what are the dimensions of the plot?

Accepted Answer

50 m by 200 m,or 100 m by 100 m

Question 3

A good oiled furniture finish contains two parts boiled linseed oil and one part turpentine.If you need a pint (16 fluid ounces)of this furniture finish,how many fluid ounces of turpentine are needed?

Accepted Answer

E

Question 4

The product of two consecutive integers is 42.Find the integers.

Accepted Answer

The answer of The product of two consecutive integers is...

Question 5

A rectangular plot,4 meters by 8 meters,is to be used for a garden.The owner decides to put a pavement of uniform width inside the entire border so that 12 square meters of the plot is left for flowers.How wide should the pavement be?

Accepted Answer

The answer of A rectangular plot,4 meters by 8 meters,is...

Question 6

One of the most important defoliating insects is the gypsy moth caterpillar,which feeds on foliage of shade,forest,and fruit trees.A homeowner lives in an area in which the gypsy moth has become a problem.She wishes to spray the trees on her property before more defoliation occurs.She needs 128 ounces of a solution made up of 3 parts of insecticide A and 5 parts of insecticide B.The solution is then mixed with water.How many ounces of insecticide A should be used?

Accepted Answer

If the homeowner needs 128 ounces of solution made up of 3 parts of insecticide A and 5 parts of insecticide B, then the total number of parts is 3 + 5 = 8.

To find out how many ounces of insecticide A should be used, follow these steps:

1. Divide the total number of ounces by the total number of parts: 128 ÷ 8 = 16

2. Multiply the result by the number of parts of insecticide A needed: 16 x 3 = 48

Therefore, the homeowner needs 48 ounces of insecticide A. The best choice is C).

Question 7

The sum of a number and its square is 12.Find the number.

Accepted Answer

The answer of The sum of a number and its...

Question 8

A company is establishing a dental plan for its employees.Under this plan the company will pay the first $20 of an employee's dental-care expenses and 80% of all additional dental-care expenses up to a maximum total benefit payment of $700.For an employee,find the total dental-care expenses covered by this program.

Accepted Answer

The answer of A company is establishing a dental plan...

Question 9

A company manufactures two types of prefabricated houses: ranch and colonial.Last year they sold three times as many ranch models as they did colonial models.If a total of 2640 houses were sold last year,how many of each model were sold?

Accepted Answer

The answer of A company manufactures two types of prefabricated...

Question 10

A company manufactures hair dryers.The manufacturing cost is $9 per unit with a fixed cost of $16,000.A hair dryer sells for $15.If the company wants to earn a profit of $50,000,how many dryers must be sold?

Accepted Answer

The answer of A company manufactures hair dryers.The manufacturing cost...

Question 11

The IQ (intelligence quotient)of a person is found by dividing his or her mental age by his or her chronological age and then multiplying that result by 100.For example,a person with a a mental age of 11 and a chronological age of 10 has an IQ of  
∙ 100 = 110.Find the mental age of a person with a chronological age of 12 and an IQ of 125.

Accepted Answer

The answer of The IQ (intelligence quotient)of a person is...

Question 12

A person deposits $50 in a bank and in two years it increases to $56.18.If the bank compounds interest annually,what annual rate of interest does it pay?

Accepted Answer

The answer of A person deposits $50 in a bank...

Question 13

A certain machine can perform 34 chemical analyses per day,but a lab technician can perform only 7.Suppose a laboratory must make 110 analyses tomorrow and it has only two machines.How many technicians will be needed to complete the job?

Accepted Answer

The answer of A certain machine can perform 34 chemical...

Question 14

Approximately 21% of the air we breathe is oxygen.To the nearest milliliter,how many milliliters of air contain 1 milliliter of oxygen?

Accepted Answer

The answer of Approximately 21% of the air we breathe...

Question 15

An economics instructor told his class that the demand equation for a certain product is p = 400 -  
and its supply equation is p = 20q + 100.If the 400 -  
is set equal to the 20q + 100,then the positive solution to the resulting equation gives the "equilibrium quantity." The instructor asked his class to find this quantity.What answer should the class give?

Accepted Answer

The answer of An economics instructor told his class that...

Question 16

A sociologist is hired by a city to study different programs that aid the education of preschool-age children.The sociologist estimates that n years after the beginning of a particular program,p thousand preschoolers will be enrolled,where p =  
n(12 - n).How many years after the start of the program will 25,000 preschoolers first be enrolled?

Accepted Answer

The answer of A sociologist is hired by a city...

Question 17

The owner of a 20-room motel,which is 70% occupied,decides to charge $8 more than the single occupancy rate if two or more people occupy the room.This situation occurs in 75% of the occupied rooms,on the average.What should the two rates be so that the owner receives $160,000 in annual income to cover expenses and yield a reasonable profit? (Assume that a year has 365 days and give your answer to the nearest dollar.)

Accepted Answer

The answer of The owner of a 20-room motel,which is...

Question 18

The "current ratio" of a company is the value of its current assets divided by its current liabilities.A company has a current ratio of 2.5 and current liabilities of $80,000.what are its current assets?

Accepted Answer

The answer of The "current ratio" of a company is...

Question 19

A theater owner charges $3 for each ticket.Currently,only 100 people attend the theater daily.The owner believes that for each $0.10 decrease per ticket,10 more people will attend.If this is true and the capacity of the theater is 200,what should the price of a ticket be if the owner wants to receive $375 daily from ticket sales?

Accepted Answer

The answer of A theater owner charges $3 for each...

Question 20

A company makes car stereos.The manufacturing cost for each stereo is $45.The company has fixed costs of $4150 per month.How many stereos can it make next month for a total cost of $10,000?

Accepted Answer

The answer of A company makes car stereos.The manufacturing cost...

Quiz 2: Applications and More Algebra