MATH 081 Exam 3 Review Solutions 

1.	A pair of athletic shoes costs $84.  If the sales tax rate is 7.2%, what is the total price?
               Total cost is 

2.	Write the percent as a decimal:  288%

3.	Write the percent as a decimal:  2.3%

4.	Write the percent as a decimal:  .04%

5.	The population of a small town increased 4% over last year’s population of 8,400.  Find the current population.

Total population = Last year’s population + amount increase = 

6.	In a recent survey of 85 people, 18 said that they have seen the movie Harold and Maude.  What percent of the people surveyed saw the movie?  Round to the nearest tenth of a percent, if necessary.

7.	A $1280 violin outfit is on sale at 20% off.  Find the sale price.
Discount = 
Sale Price = Original Price – Discount 
Sale Price = 

8.	$20,500 is borrowed to buy a car.  If the simple interest on the 5-year loan is 5.75%, find the total amount paid on the loan.

9.		Convert
	a. 74 yards = feet
	b. 3.4 grams =  milligrams

10.	Translate to an equation and solve:  45% of 380 is what number?

      

11.	Write the percent as a fraction or mixed number in simplest form:  65.2%

12.	12 is what percent of 25?

    

13.	126% of what number is 63?

      

14.	Determine what percent of the figure is shaded:

     

15.	A fancy sewing machine normally sells for $1290.  If it is first discounted by 40% and then taxed at 7%, find the total price, rounded to the nearest cent.
Price after discount: 

Price after tax: 

16.	Find the simple interest when: Principal = $3450, Rate = 4.2%, Time = 9 years
Interest = Prt = 

17.	 A basketball player made 78 baskets out of 100 attempted throws.  What percent of the throws were baskets?

18.	A basketball player made 13 baskets out of 25 attempted throws.  What percent of the throws were baskets?

19.	How much commission will a car salesman make on a $29,000 car if he receives 2.3% of the selling price?  Round your answer to the nearest cent.

20.	Write the fraction or mixed number as a percent:  

21.	 	Perform the indicated operation and simplify the answer.
a. 8 ft 5 inches  x  3 = 24 ft 15 in = 24 ft + 12 inches + 3 in = 24 ft + 1 ft + 3 in      
    =25 ft 3 inches
	b. 13 ft 2 in – 9ft 10in = 12 ft 14 in – 9 ft 10 in = 3 ft 4 in 

22.	Write the fraction or mixed number as a percent:  

23.	Find the area of the parallelogram JKLM
	
in2

24.	A math course had an annual enrollment of 88 students.  After the business department added it as a major requirement, its annual enrollment was 242.  Find the percent increase.  Round to the nearest tenth, if necessary.

25.	Find the area of the shaded figure
	Shaded area = Abig rectangle – Asmall rectangle

26.	$3090 is invested in an account in which interest is compounded annually at a rate of 6%.  Find the total amount in the account at the end of 3 years.  (The compound interest factor is 1.191016.)  Round your answer to the nearest cent, if necessary.

27.	A college student borrows $1200 for 9 months to help pay for a year of school.  If the interest is $78, find the monthly payment.

 per month

28.	Find the area.

a. 

 cm2	

b.

 
 	in2
c. 

ft2

29.	Find the volume.  Use .
	
a. 

m3

b. 

in3