162 Chapter 2 Linear Equations and Inequalities 23. Javon is in a 28% tax bracket for his federal income tax. If the amount of money that he paid for federal income tax was $23,520, what was his taxable income? (See Example 3.) Javon’s taxable income was $84,000. 24. In a recent survey of college-educated adults, 155 indicated that they regularly work more than 50 hr a week. If this represents 31% of those surveyed, how many people were in the survey? There were 500 people in the survey. Concept 2: Applications Involving Simple Interest For Exercises 25–32, solve these equations involving simple interest. 25. How much interest will Pam earn in 4 years if she invests $3000 in an account that pays 3.5% simple interest? Pam will earn $420. 26. How much interest will Roxanne have to pay if she borrows $2000 for 2 years at a simple interest rate of 4%? Roxanne will have to pay $160. 27. Bob borrowed some money for 1 year at 5% simple interest. If he had to pay back a total of $1260, how much did he originally borrow? (See Example 4.) Bob borrowed $1200. 28. Andrea borrowed some money for 2 years at 6% simple interest. If she had to pay back a total of $3640, how much did she originally borrow? Andrea borrowed $3250. 29. If $1500 grows to $1950 after 5 years, find the simple interest rate. The rate is 6%. 30. If $9000 grows to $10,440 in 2 years, find the simple interest rate. The rate is 8%. 31. Perry is planning a vacation to Europe in 2 years. How much should he invest in a certificate of deposit that pays 3% simple interest to get the $3500 that he needs for the trip? Round to the nearest dollar. Perry needs to invest $3302. 32. Sherica invested in a mutual fund and at the end of 20 years she has $14,300 in her account. If the mutual fund returned an average yield of 8%, how much did she originally invest? Sherica invested $5500. Concept 3: Applications Involving Discount and Markup 33. A CD/MP3 player for a car costs $170. It is on sale for 12% off with free installation. a. What is the discount on the CD/MP3 player? b. What is the sale price? $149.60 34. A laptop computer, originally selling for $899.00, is on sale for 10% off. a. What is the discount on the laptop? $89.90 b. What is the sale price? $809.10 $20.40 35. A digital camera is on sale for $400.00. This price is 15% off the original price.What was the original price? Round to the nearest cent. (See Example 5.) The original price was $470.59. 36. The Avatar DVD is on sale for $18. If this represents an 18% discount rate, what was the original price of the DVD? The original price was $21.95. 37. The original price of an Audio Jukebox was $250. It is on sale for $220.What percent discount does this represent? The discount rate is 12%. 38. During its first year, a popular game console sold for $425.00 in stores. This product was in such demand that it sold for $800 online.What percent markup does this represent? (Round to the nearest whole percent.) The markup rate is 88%. 40. In one area, the cable company marked up the monthly cost by 6%. The new cost is $63.60 per month.What was the cost before the increase? The original cost was $60. 39. A doctor ordered a dosage of medicine for a patient. After 2 days, she increased the dosage by 20% and the new dosage came to 18 cc. What was the original dosage? The original dosage was 15 cc. Writing Translating Expression Geometry Scientific Calculator Video
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