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Problem 1

A \(\$ 300\) suit is on sale for \(30 \%\) off. You present a coupon at the cash register for an additional \(20 \%\) off. a. Form the decay factor corresponding to each percent decrease. b. Use these decay factors to determine the price you paid for the suit.

Problem 2

Your union has just negotiated a 3 -year contract containing annual raises of \(3 \%, 4 \$$, and \)5 \%$ during the term of contract. Your current salary is \(\$ 42,000 .\) What will you be earning in 3 years?

Problem 4

A baseball batting average is the ratio of hits to the number of times at bat. It is reported as a three-digit decimal. Determine the batting averages of three players with the given records. a. 16 hits out of 54 at bats b. 25 hits out of 80 at bats c. 32 hits out of 98 at bats

Problem 6

a. You paid 10 dollar per share for a promising technology stock. Within a year, the stock price skyrocketed to 50 dollar per share. By what percent did your stock value increase? b. You held on to the stock for a bit too long. The price has just fallen from its 50 dollar high back to 10 dollar . By what percent did your stock decrease from 50 dollar?

Problem 6

People starting on a weight-loss program are advised to set realistic weight loss goals. One method is to set a first goal of losing \(5 \%\) to \(10 \%\) of their starting weight. a. You are starting a weight loss program. You weigh 170 pounds and aim to lose \(10 \%\) of your body weight. Use a proportion to determine how many pounds you hope to lose. b. Your friend is on a weight-loss program and wants to reach a final goal weight of 160 pounds. His starting weight was 180 pounds. If he has lost $8 \%$ of his body weight so far, how many pounds does he still have to lose to reach his final goal?

Problem 6

When you became a manager, your \(\$ 60,000\) annual salary increased by $25 \% .$ You found the new job too stressful and requested a return to your original job. You resumed your former duties at a \(20 \%\) reduction in salary. How much are you making at your old job due to the transfer and return?

Problem 7

Tealeaf, a company that offers management solutions to companies that sell online, announced in a 2008 consumer survey that nearly 9 out of 10 customers reported problems with transactions online. The survey sampled 2010 adults in the United States, 18 years and older, who had conducted an online transaction in the past year. Estimate the number of adults who reported problems with transactions online.

Problem 7

Your doctor advises you that losing \(10 \%\) of your body weight will significantly improve your health. a. Before you start dieting, you weigh 175 pounds. Determine and use the decay factor to calculate your goal weight to the nearest pound. b. After 6 months, you reach your goal weight. However, you still have more weight to lose to reach your ideal weight range, which is between 125 and 150 pounds. If you lose $10 \$$ of your new weight, from part a, will you be in your ideal weight range? Explain.

Problem 7

A coat with an original price tag of \(\$ 400\) was marked down by \(40 \% .\) You have a coupon good for an additional \(25 \%\) off. a. What is its final cost? b. What is the effective percent discount?

Problem 8

Use the conversion tables or formulas on the inside back cover of the textbook for conversion equivalencies. The average weight of a mature human brain is approximately 1400 grams. What is the equivalent weight in kilograms? In pounds?

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