MAT-105-2785-Basic Mathematics

Part 1

20. Olivia’s commission rate is 6%. What commission does she earn on the sale of $45,000 worth of lawn irrigation systems?

22. Joshua earns $120 for selling $2400 worth of television sets. What is the commission rate?

24. A clothing consignment shop’s commission rate is 40%. The shop receives a commission of $552. How many dollars worth of clothing were sold?

Part 2

Complete

12.

34.

38. Find the Simple Interest on $2000 at an interest rate of 5.3% for 2 years

42. Find (a) the amount of simple interest due and (b) the total amount that must be paid back when a firm borrows $4200 at

11% for 30 days.

Part 3

45. A slow-pitch softball diamond is actually a square 65 ft on a side. How far is it from home plate to second base?

50.

51.

50. In order to support a masonry wall, Matthew erects braces at a height of 12 ft on the wall. The braces are anchored to the

ground 15 ft from the base of the wall. How long are the braces?

51. An airplane is flying at an altitude of 4100 ft. The slanted distance directly to the point where it will touch down is 15,100 ft.

How far is the airplane horizontally from that point?

52. A surveyor had poles located at points P, Q,and R around a lake. The distances that the surveyor was able to measure are

marked on the drawing. What is the approximate distance from P to R across the lake?

44. The population of a rural town was 12,500. It decreased 380 each year for 4 years. What was the population of the town

after 4 years?

46. Karen had $234 in her bank account. After she used her debit card to make seven purchases at $39 each, what wa s the

balance in her bank account?

Part 4

8. Eight times what number is 2552?

14. If you double a number and then add 85, you get ¾ of the original number. What is the original number?

16. At a height of 385 ft, the FAA traffic control tower in the Atlanta airport is the tallest such tower in the United States. Its

height is 59 ft more than the height of the tower at the Memphis airport. How tall is the control tower at the Memphis airpor t?

39. Leon left a 15% tip for a meal. The total cost of the meal, including the tip, was $41.40. What was the cost of the meal

before the tip was added?

40. Selena left an 18% tip for a meal. The total cost of the meal, including the tip, was $40.71. What was the cost of the meal

before the tip was added?

41. The ground floor of the John Hancock Building in Chicago is a rectangle whose length is 100 ft more than the width. The

perimeter is 860 ft. Find the length, the width, and the area of the ground floor.