34 CHAPTER 1 Critical Thinking Skills 65. Musicians Jaquan, Cindy, and Mark are musicians. One plays the guitar, one plays the saxophone, and one plays the drums. They live in three adjacent houses on Lake View Drive. From the following information, determine who plays the drums. (Hint: A table may be helpful.) Mark does not play the guitar. Jaquan plays the guitar, but does not play the saxophone. The saxophone player and drummer live next to each other. Three years ago, Cindy broke her wrist playing the drums and has not played them since. Mark lives in the last house. The saxophone player and the guitar player share a common backyard swimming pool. Mark plays the drums. 66. Counting Triangles How many triangles are in the figure? 44 67. Area of a Rectangle Rectangle ABCD is made up entirely of squares. The black square has a side of 1 unit. Determine the area of rectangle ABCD. A D B C 68. Boxes of Fruit There are three boxes on a table, each with a label. Thomas knows that one box contains grapes, one box contains cherries, and the third box contains both grapes and cherries. He also knows that the three labels used—grapes, cherries, and grapes and cherries—were mixed up and that none of the boxes received the correct label. He opens just one box and, without looking into the box, takes out one piece of fruit. He looks at the fruit and immediately labels all the boxes correctly. Which box did Thomas open? How did he know how to correctly label the boxes? * Research Activities 69. Puzzles Many fun and interesting puzzle books and magazines are available. Using this chapter and puzzle books as a guide, construct five of your own puzzles and present them to your instructor. 714 square units 60. Income Taxes Refer to the table given in Exercise 59. a) Destani works as a restaurant manager and earned $37,851 in taxable income in 2023. Determine the federal taxes Destani must pay. $4322.12 b) Katina is a real estate broker and earned $671,425 in taxable income in 2023. Determine the federal taxes Katina must pay. $208,759.25 61. Income Taxes Refer to the table given in Exercise 59. a) Shenile works as a student tutor and paid $876 in federal taxes in 2023. Determine Shenile’s taxable income. $8760 b) Logan works as a caddy at a golf course and paid $2017.50 in federal taxes in 2023. Determine Logan’s taxable income. $18,645.83 62. Income Taxes Refer to the table given in Exercise 59. a) Desmond works as middle school teacher and paid $7132.28 in federal taxes in 2023. Determine Desmond’s taxable income. $53,749 b) Yasmine works as an electrical engineer and paid $46,721 in federal taxes in 2023. Determine Yasmine’s taxable income. $212,153.13 63. A Grid Place five 1’s, five 2’s, five 3’s, five 4’s, and five 5’s in a 5 5 × grid so that each digit—that is, 1, 2, 3, 4, 5 —appears exactly once in each row and exactly once in each column. * 64. Insurance Policies Ray owns two cars (a Ford Mustang and a Ford Focus), a house, and a rental apartment. He has auto insurance for both cars, a homeowner’s policy, and a policy for the rental property. The costs of the policies are Mustang: $1648 per year Focus: $1530 per year Homeowner’s: $640 per year Rental property: $750 per year Ray is considering taking out a $1 million personal umbrella liability policy. The annual cost of the umbrella policy would be $450. If he has the umbrella policy, he can lower the limits on parts of his auto policies and still have equal or better protection. If Ray purchases the umbrella policy, he can reduce his premium on the Mustang by $90 per year and his premium on the Focus by 12%. If he purchases the umbrella policy and reduces the amount he pays for auto insurance, what is the net amount he is actually paying for the umbrella policy? $176.40 *See Instructor Answer Appendix
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