98 Chapter 1 Equations, Inequalities, and Modeling 25. Write a formula that expr
ID: 3168685 • Letter: 9
Question
98 Chapter 1 Equations, Inequalities, and Modeling 25. Write a formula that expresses the radius r of a circle as a 26. Write a formula that expresses the diameter d of a circle as a resting heart rate, ther of that result and add heart rate for a 30-ye person's resting hear function of its diameter d. function of its radius r 37. Classic Car Auction buyer's premium, fo Mecum adds a 10% car, then what was t MODELING Use the appropriate formula to solve each problem 27. Simple Interest If $51.30 in interest is earned on a deposit of 38. Art Auction A buye buyer's premium, f auction. If Sotheby ning bid, then wha $950 in one year, then what is the simple interest rate? of one month, then what is the simple annual interest rate? one of the fastest U.S. jets, to make a surveillance run of 28. Simple Interest If you borrow $100 and pay back $105 at the encd 39. Investment Income nings to the gover her winnings in Je of her winnings in If she earned a tot then how much d 29. Uniform Motion How long does it take an SR-71 Blackbird, 5570 mi if it travels at an average speed of Mach 3 (2228 mph)? 30. Circumference of a Circle If the circumference of a circular sign is 72TT in., then what is the radius? 31. Fahrenheit Temperature If the temperature at 11 P.M. on New I P.M. on New 40. Construct Kentwood High million. Because Gonzales paid 5 in penalties and penalties. If the amount of each Year's Eve in Times Square was 23°F, then what was the tem- perature in degrees Celsius? 32. Celsius Temperature If the temperature at 1 P.M. on July 9 in Toronto was 30°C, then what was the temperature in degrees Fahrenheit? 41. Trimming a Ga in three pieces longer than twi long was each Solve each problem. See the strategy for problem solving on pages 92-93 33. Cost of a Car Jeff knows that his neighbor Sarah paid $40,230, including sales tax, for a new Maxima. If the sales tax rate is 8%, then what is the cost of the car before the tax? 34. Real Estate Commission To be able to afford the house of their dreams, Dave and Leslie must clear $128,000 from the sale of their first house. If they must pay $780 in closing costs and 6% of the selling price for the sales commission, then what is the minimum selling price for which they will get $128,000? 35. Adiustine the Saddle The saddle height on a bicycleExplanation / Answer
26) diameter of a circle is 2 times the radius of the circle
so we can write
diameter d = 2 * radius
d = 2r
29) distance = 5570 miles
speed = 2228 mph
applying distance rate time formula
d = rt
t = d/r
time = 5570 / 2228
time = 2.5 hours
hence, it takes 2.5 hours
33) tax rate = 8%
finding 8% of $ 40,230
= .08 * 40230 = 3218.4
excluding tax price from the cost = 40230 - 3218.4
= 37011.6
cost of car before tax = $ 37011.6
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