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132_Exam02

# 132_Exam02 - growth is 7.2 4 Suppose the graph of our data...

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MA132 Basic Modeling J. Robeson Exam 2 2009 November 2 Name__________________________________________ This exam covers sections 1.4, 1.6, 2.1 and 2.2 of the text. You have 1 hour to complete all eight questions on this exam. Each problem is worth a maximum of 12 points. To receive full credit you must clearly show how you obtained your answer. Calculators are allowed, but all other electronic devices are prohibited. A formula will be provided on the board, but no other aids are allowed. Please raise your hand if you have any questions or need extra paper. Good luck. Results: #1_____ #2_____ #3_____ #4_____ #5_____ #6_____ #7_____ #8_____ Extra Credit_____ 4 Total Score______%

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1. Suppose you deposit \$1000 into a savings account and then save \$300 per month for the next thirty years. If the annual interest rate is 6% , write a recursive model for the balance after n 1 years. b n 1 2. For the situation in problem 1, how much will you have at the end of thirty years?
3. About how long does it take a \$1000 investment to grow to \$4000 if the annual rate of

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Unformatted text preview: growth is 7.2% ? 4. Suppose the graph of our data of P versus P n 1 can be approximated closely with a straight line having a slope of 1.5 and a P- intercept of 5. What is the recursive model for P n ? 5. Write both of the following statements as a mathematical proportion. Pressure (P) is inversely proportional to the volume (V). Sales volume (S) is jointly proportional to the quality (Q 1 ) and the quantity (Q 2 ). 6. Suppose the diameter of one sphere is 7 inches and the diameter of another sphere is 11 inches. How much more volume does the second one have than the first one? 7. For the following situation identify one dependent variable and at least two independent variables. How much life insurance should I buy? dependent variable: independent variables: 8. Define what is meant by a mathematical model. Bonus (5 points) Name two of the mathematicians or scientists mentioned in section 1.6 of the text....
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132_Exam02 - growth is 7.2 4 Suppose the graph of our data...

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