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Math 1090.003 Quiz 05
Spring 2016
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• Please clear your desks tlld remove headphons and hats during the quiz.
• Show all work, as partial credit will be given where appropriate. If no work is hown, there may be no credit given.
• All final answers should be written in the space provided on the quiz and in simplified form. When needed, give your answer as an exact amount, i.e. a fraction or symbolic expression, except for dollar amounts which should be rounded to the nearest cent.
• Calculators are allowed on this quiz.
• If your phone is out during the quiz it will be considered a cheating offense put your phone away!
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1

Math 1090.003
24 February 2016
1. For each word problem, write the system of equations arid matrix equation necessary to solve the problem.
Do not solve.
(a) All investor has $600,000 to invest. There are three ways to invest this money. Municipal bonds pay 8% interest every year. Blue chip stocks should return about 12% annually.
Growth or speculative stocks should pay about 15% annually. The investor wants to get a 10%return overall on his investments. Also, he wishes to invest twice as much in blue chips as in growth or speculative stocks. How much should he invest in each type of
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(b) For a particular plant, the optimal fertilizer should contain 5 pounds of fertilizer A, 4 pounds of fertilizer B, and 3 pounds of fertilizer C. Commercial brand X contains only fertilizer A. Commercial brand Y contains 2 parts fertilizer B and 3 parts fertilizer C.
Commercial brand Z contains 1 part fertilizer A and 1 part fertilizer B. How many pounds of each commercial brand must be mixed together to get the optimal fertilizer for this plant?
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Math 1090.003
24 February 2016
2. Quadratic Equations
(a) Suppose you are given the equatioii ax
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