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Math 153 quiz_2_soln

# Math 153 quiz_2_soln - dogwood tree is 25 and the proﬁt...

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Math 153 Name: SOLUTIONS Quiz 2 Show your work for full credit. February 5, 2008 1. Solve the equation S = C + RC for C . C + RC = S C (1 + R ) = S C = S 1 + R 2. Solve the quadratic equation x 2 - 2 x - 3 = 0 by completing the square. Simplify your answer. x 2 - 2 x - 3 = 0 x 2 - 2 x + 1 - 3 = 0 + 1 ( x - 1) 2 = 4 x - 1 = ± 2 x = 1 ± 2 x = - 1 or 3 3. Use the Quadratic Formula to solve the quadratic equation 4 x 2 + 16 x + 17 = 0. Simplify your answer. x = - 16 ± 16 2 - 4(4)(17) 2(4) = - 16 ± - 16 8 = - 16 ± 4 i 8 = - 2 ± 1 2 i 4. The hypotenuse of an isosceles right triangle is 7 units long. How long are its sides? x = side length of triangle x 2 + x 2 = 7 2 (Pythagorean Theorem) 2 x 2 = 49 x 2 = 49 2 x = 7 2

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5. A nursery has \$20,000 of inventory in dogwood trees and red maple trees. The profit on a
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Unformatted text preview: dogwood tree is 25% and the proﬁt on a red maple is 17%. The proﬁt for the entire stock is 20%. How much was invested in each type of tree? Deﬁne your variables clearly, set up an equation, and solve. Give your answer using a complete sentence. x = dollars invested in dogwood trees 20 , 000-x = dollars invested in red maple trees . 25 x + . 17(20 , 000-x ) = . 20(20 , 000) . 25 x + 3400-. 17 x = 4000 . 08 x = 600 x = 7500 The nursery invested \$7500 in dogwood trees and \$12,500 in red maple trees....
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