Practice Makes Perfect! The formula A = P(1 + r)t is used to calculate the amount of money in an account at the end of t years if P dollars are invested at an annual interest rate, r. (See Objective 1.) 13. Find the value of A if $8000 is invested for 4 yr at 2.5% annual interest. 14. Find the value of A if $6000 is invested for 3 yr at 1.3% annual interest. 15. Find the value of A if $12,000 is invested for 2 yr at 2% annual interest. 16. Find the value of A if $15,000 is invested for 2 yr at 1.8% annual interest. The formula d = rt calculates the distance, d, traveled by an object traveling at an average rate r for time t. (See Objective 1.) 17. Find d if r = 60 mph and t = 5 hr. 18. Find d if r = 75 mph and t = 2 hr. 19. Find r if d = 440 mi and t = 8 hr. 20. Find r if d = 243 mi and t = 4.5 hr. 21. Find t if d = 80 mi and r = 40 mph. 22. Find t if d = 156 mi and r = 65 mph. The formula V = lwh calculates the volume of a box with length l, width w, and height h. (See Objective 1.) 23. Find V if l = 10 in., w = 5 in., and h = 2 in. 24. Find V if l = 3 ft, w = 4 ft, and h = 6 ft. 25. Find w if V = 28 yd3, l = 7 yd, and h = 2 yd. 26. Find h if V = 960 m3, l = 12 m, and w = 10 m. Use the perimeter, area, or circumference formula to fi nd the indicated quantity. (See Objective 2.) 27. Find the area of a triangle whose base is 10 in. and whose height is 5 in. 28. Find the area of a triangle whose base is 9 ft and whose height is 14 ft. 29. Find the height of a triangle whose area is 20 in.2 and whose base is 5 in. 30. Find the base of a triangle whose area is 35 cm2 and whose height is 7 cm. 31. Find the perimeter of a rectangle whose length is 6 ft and whose width is 8 ft. 32. Find the perimeter of a rectangle whose length is 12 in. and whose width is 20 in. 33. Find the length of a rectangle if the perimeter is 24 m and the width is 7 m. 34. Find the width of a rectangle if the perimeter is 180 ft and the length is 40 ft. 35. If the area of a rectangle is 32 ft2 and the width is 8 ft, find the perimeter of the rectangle. 36. If the area of a rectangle is 50 in.2 and the length is 10 in., find the perimeter of the rectangle. 37. Find the circumference and area of a circle with radius 8 cm. Use 3.14 for the value of π to approximate answers to two decimal places. 38. Find the circumference and area of a circle with radius 12 in. Use 3.14 for the value of π to approximate answers to two decimal places. 39. If the circumference of a circle is 157 ft, find the radius of the circle and the area of the circle. Use 3.14 for the value of π to approximate answers to two decimal places. 40. If the circumference of a circle is 200 in., find the radius of the circle and the area of the circle. Use 3.14 for the value of π to approximate answers to two decimal places. Solve each formula for the specifi ed variable. (See Objective 3.) 41. A = lw for l 42. d = rt for t 43. P = a + b + c for c 44. P = 2l + 2w for w 45. x + 2y = 4 for x 46. x + 2y = 4 for y 47. 4x - y = 8 for x 48. 4x - y = 8 for y 49. y = 1 4 x + 5 for x 50. y = 1 2 x - 3 for x 51. 7x - 3y = -21 for x 52. 3x - 5y = -15 for y 53. A = P + Prt for r 54. A = P(1 + rt) for P Find the measure of each unknown angle. (See Objective 4.) 55. Find the measure of an angle whose complement is twice the measure of the angle. 56. Find the measure of an angle whose complement is eight times the measure of the angle. 57. Find the measure of an angle whose complement is 10° more than three times the measure of the angle. 58. Find the measure of an angle whose complement is 15° more than four times the measure of the angle. 59. Find the measure of an angle whose supplement is eight times the measure of the angle. 60. Find the measure of an angle whose supplement is five times the measure of the angle. 61. Find the measure of an angle whose supplement is 16° less than six times the measure of the angle. 62. Find the measure of an angle whose supplement is 12° less than twice the measure of the angle. 63. The supplement of an angle is 20° less than three times its complement. Find the measure of the angle. 64. The supplement of an angle is 18° less than four times its complement. Find the measure of the angle. Find the measure of each angle labeled in the fi gure. (See Objective 5.) 65. (2a + 21)° a° 148 Chapter 2 Linear Equations and Inequalities in One Variable
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