Quiz21solutions - MAC1105 Quiz#21 Solutions In the...

Unformatted text preview: MAC1105: Quiz #21 Solutions July 26, 2010 In the top-right corner of a clean sheet of paper, write your name, UFID, and section number. Please use a pen with blue or black ink. When you are nished, FOLD your paper in half lengthwise and write your name on the back. 1. Solve: (a) 2 = 1 4x 1 1 = ( 2 )-2x 1 = -2x x = - 2 . 1 2 = 4x 1 2 = 22x 1 2 (b) 5x = 8 3x = 8 x = 3 . 1 25x-4 5x = 25-(x-4) 5x = 5-2(x-4) x = -2x + 8 2. Sketch a graph of the function f (x) = -ex-2 + 3 There are three transformations: Shift right by 2, reection about the x axis, and shift up by 3. 3. Find the present value of $20,000 after 20 years if the interest rate, compounded continuously, is 5%. Use A = P e-rt , with P = 20000, r = 0.05, and t = 20: A = 20000e-0.0520 = 20000e-1 = 20000 7357. e 1 ...
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