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hendricks_intermediate_algebra_1e_ch1_3

Section 2.3 Formulas and Applications 83 19. (5a + 14)° (2a – 1)° 20. (6a + 1)° (3a – 10)° 21. (7a)° a° 22. (9a)° a° 23. (20x – 11)° (10x + 9)° 24. (5x + 6)° (8x – 3)° Find the perimeter of each triangle. (See Objective 2.) 25. 7 ft 11 ft 4 ft 26. 5 ft 6 ft 7 ft Solve each problem. (See Objective 2.) 27. The dimensions of a parking lot are 1400 ft long and 1000 ft wide. Find the perimeter of the parking lot. 28. The dimensions of a maze are 200 ft long by 300 ft wide. Find the perimeter of the maze. 29. What is the circumference and area of a circle with radius 10 in.? 30. What is the circumference and area of a circle with radius 15 in.? 31. As of 2009, the Beijing Great Wheel was the largest Ferris wheel in the world. If its diameter is 682 ft, what is the distance of one revolution of the Ferris wheel? (Source: www.popularmechanics.com) 32. Canada’s Niagara Sky Wheel has a diameter of approximately 174 ft. What is the distance of one revolution of this Ferris wheel? (Source: www.cliftonhill.com) 33. Find the height of a triangle whose area is 25 ft2 and whose base is 5 ft. 34. Find the height of a triangle whose area is 54 ft2 and whose base is 6 ft. 35. The length of a rectangle is 2 yd less than three times its width. If the perimeter is 180 yd, find the length and width of the rectangle. 36. The length of a rectangle is 5 m less than six times its width. If the perimeter is 200 m, find the length and width of the rectangle. The formula A = P(1 + r)t gives the amount of money A in an account after t yr if P dollars is invested at an interest rate r (in decimal form) compounded annually. Use this formula to answer each question. Round to the nearest cent. (See Objective 3.) 37. Find the amount of money Deborah must invest at 5% interest compounded annually to have $5000 in an account after 2 yr. 38. Find the amount of money Sheree must invest at 4% interest compounded annually to have $1000 in an account after 3 yr. The formula F = 9 5 C + 32 is used to convert degrees Celsius to degrees Fahrenheit. Use this formula to answer each question. Round to two decimal places. (See Objective 3.) 39. In 1983, the coldest temperature on earth was recorded at Vostok Station located on the East Antarctica ice sheet. The temperature was -89.2°C. Convert this temperature to degrees Fahrenheit. (Source: World Meteorological Organization) 40. The hottest temperature on earth was recorded in 1922 in El Azizia, Libya. The temperature was 57.8°C. Convert this temperature to degrees Fahrenheit. (Source: World Meteorological Organization) 41. Juneau, Alaska, has an average December temperature of 28.5°F. Convert this temperature to degrees Celsius. (Source: www.weather.com) 42. Newburgh, New York has an average July temperature of 74.5°F. Convert this temperature to degrees Celsius. (Source: www.weather.com) The formula I = Prt gives the amount of simple interest an account earns after t yr if P dollars is invested at an annual interest rate r (in decimal form). Use this formula to answer each question. (See Objective 3.) 43. How much interest is earned after 10 yr if Sebastian invests $500 in an account that earns 3.5% annual interest? 44. How much interest is earned after 3 yr if Padma invests $700 in an account that earns 4.5% annual interest? 45. If Stacy wants to earn $600 in 3 yr from an account that earns 5% annual interest, how much must she invest in the account? 46. If Richard wants to earn $1200 in 5 yr from an account that earns 3% annual interest, how much must he invest in the account?


hendricks_intermediate_algebra_1e_ch1_3
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