MATH 106 Finite Mathematics Fall, 2012, 1.3 MATH 106 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the separate answer sheet provided. There are 25 problems. Problems #1–12 are Multiple Choice. Problems #13–15 are Short Answer. (Work not required to be shown) Problems #16–25 are Short Answer with work required to be shown. MULTIPLE CHOICE 1. Sarah purchases a car for $27,000, makes a down payment of 20%, and finances the rest with a 4-year car loan at an annual interest rate of 6.3% compounded monthly. What is the amount of her monthly loan payment? 1. _______ A. $510.25 B. $563.40 C. $637.82 D. $704.25 2. Find the result of performing the row operation (-3)R + R ? R 2. _______ 1 2 2 3 2 -5 1 6 -9 3 2 -5 3 2 -5 A. B. 1 6 -9 1 0 -9 3 2 -5 0 -16 22 C. D. -8 0 6 1 6 -9 Page 1 of 10MATH 106 Finite Mathematics Fall, 2012, 1.3 3. Find the values of x and y that maximize the objective function 8x + 3y for the feasible region shown below. 3. _______ A. (x, y) = (0, 20) B. (x, y) = (5, 15) C. (x, y) = (8, 10) D. (x, y) = (10, 0) 4. Adult American have normally distributed heights with a mean of 5.8 feet and a standard deviation of 0.2 feet. What is the probability that a randomly chosen adult American male will have a height between 5.6 feet and 6.0 feet? 4. ______ A. 0.9544 B. 0.7580 C. 0.6826 D. 0.5000...
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