A-30 ANSWERS 33. 41. + + = + + = − ⎡ ⎣ ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ A B C A B C ( ) ( ) 4 14 3 15 8 1 42. + + = + + = − − − − ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ A B C A B C ( ) ( ) 1 2 11 2 2 9 47. × × = × × = ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ A B C A B C ( ) ( ) 41 13 56 16 48. × × = × × = − − ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ A B C A B C ( ) ( ) 27 79 4 148 49. × × = × × = − − ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ A B C A B C ( ) ( ) 16 10 24 2 50. × × = × × = − ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ A B C A B C ( ) ( ) 17 0 7 0 51. Student Adult Senior citizen Matinee Evening ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ 158 280 95 215 362 94 52. 17 9 21 7 22 7 19 12 ⎡ ⎣ ⎢ ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ ⎥ Male Female Small Medium Large Extra large 53. ⎡ ⎣ ⎢ ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ ⎥ 38 50 56 72 17 26 10 14 Large Small Sugar Flour Milk Eggs 56. ⎡ ⎣ ⎢ ⎢ ⎢ ⎤ ⎦ ⎥ ⎥ ⎥ 51.95 149.00 44.70 126.10 59.05 167.40 Cost Revenue Hot dogs Soft drinks Candy bars REVIEW EXERCISES, PAGE 581 32. + 0 1 2 3 4 5 0 0 1 2 3 4 5 1 1 2 3 4 5 0 2 2 3 4 5 0 1 3 3 4 5 0 1 2 4 4 5 0 1 2 3 5 5 0 1 2 3 4 Yes, it is a commutative group. + 0 1 2 3 0 0 0 0 0 1 0 1 2 3 2 0 2 0 2 3 0 3 2 1 No; no inverse for 0 or 2 CHAPTER TEST, PAGE 583 5. + 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 17. a) × 0 1 2 3 4 0 0 0 0 0 0 1 0 1 2 3 4 2 0 2 4 1 3 3 0 3 1 4 2 4 0 4 3 2 1 Chapter 10 SECTION 10.2, PAGE 602 49. $2023.06 50. $2966.08 51. $1459.33 52. $4498.91 53. $5278.99 54. $712.45 55. $850.64 56. $3533.18 57. $6086.82 58. $7371.73 SECTION 10.3, PAGE 612 45. The simple interest is $20,000. The compound interest is $22,138.58. The compound interest is greater by $2138.58. SECTION 10.4, PAGE 626 41. d) The interest charged using the average daily balance method is $0.04 less than the interest charged using the previous balance method. 42. d) The interest charged using the average daily balance method is $0.38 less than the interest charged using the previous balance method. Chapter 11 SECTION 11.1, PAGE 666 35. a) 1 4 b) 1 2 c) 1 4 d) 3 4 36. a) 1 2 b) 1 4 c) 1 4 d) 3 4 37. a) 1 2 b) 3 8 c) 1 8 d) 7 8
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