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Problem 11

Raphael purchased a 3-year-old car for $16,000. He was told that this make and model depreciates exponentially at a rate of 5.45% per year. What was the original price of the car when it was new?

Problem 12

Bill is looking for original taillights for his 1932 Ford. The prices vary depending on the condition. He fi nds these prices: \(\$ 450, \$ 100, \$ 180, \$ 600, \$ 300, \$ 350, \$ 300,\) and \(\$ 400\) a. Find the four quartiles. b. Find the interquartile range. c. Find the boundary for the lower outliers. Are there any lower outliers? d. Find the boundary for the upper outliers. Are there any upper outliers?

Problem 12

An accident reconstructionist takes measurements of the yaw marks at the scene of an accident. What is the radius of the curve if the middle ordinate measures 4.8 feet when using a chord with a length of 42 ft? Round your answer to the nearest tenth of a foot.

Problem 12

The original price of a car is entered into spreadsheet cell A1 and the annual depreciation amount in cell B1. a. Write the spreadsheet formula to determine the number of years it will take for the car to totally depreciate. b. The spreadsheet user is instructed to enter a car value in cell D1. Write the spreadsheet formula to compute how long it will take for the car to depreciate to that value. c. The spreadsheet user is instructed to enter a percent into cell E1. Write the spreadsheet formula to compute the length of time it will take for the car to decrease by that percent.

Problem 12

Leslie placed this ad in the Collector Car Monthly. 1957 Chevrolet Nomad station wagon. Tropical Turquoise, 6 cyl. auto, PS, PW AM/FM, repainted, rebuilt transmission, restored two-tone interior. Mint! Moving, sacrifice, \(\$ 52,900.555-4231\) a. If the newspaper charges \(\$ 48\) for the first three lines and \(\$ 5\) for each extra line, how much will this ad cost Leslie? b. Ruth buys the car for 8\(\%\) less than the advertised price. How much does she pay? Ruth must pay her state 6\(\%\) sales tax on the sale. How much must she pay in sales tax? c. Ruth must pay her state 6\(\%\) sales tax on the sale. How much must she pay in sales tax?

Problem 13

The Online Car Auctioneer charges a commission for classified ads. If the car sells, the seller is charged 4\(\%\) of the advertised price, not of the price for which the car actually sells. If the car doesn't sell, the seller pays nothing. If Barbara advertises her Cadillac for \(\$ 12,000\) and sells it for \(\$ 11,200,\) how much must she pay for the ad?

Problem 14

Bill left Burlington, Vermont, and traveled to Ottawa, Ontario, the capital of Canada. The distance from Burlington to the Canadian border is approximately 42 miles. The distance from the Canadian border to Ottawa is approximately 280 kilometers. If it took him 4.3 hours to complete the trip, what was his average speed in miles per hour?

Problem 14

The following measurements from yaw marks left at the scene of an accident were taken by the authorities. Using a 31-ft length chord, the middle ordinate measured approximately 3 ft. The drag factor for the road surface is 1.02. a. Determine the radius of the yaw mark to the nearest tenth of a foot. b. Determine the minimum speed that the car was going when the skid occurred to the nearest tenth.

Problem 15

What is the exponential depreciation rate, expressed as a percent to the nearest tenth of a percent, for a car that originally sells for \(52,000 when new but exponentially depreciates to \)45,000 after 32 months?

Problem 16

The piece wise function describes a newspaper’s classified ad rates. $$y=\left\\{\begin{array}{ll}{21.50} & {\text { when } x \leq 3} \\\ {21.50+5(x-3)} & {\text { when } x>3}\end{array}\right.$$ a. If \(x\) represents the number of lines, and \(y\) represents the cost, translate the function into words. b. If the function is graphed, what are the coordinates of the cusp?

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