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Student Answer Form Unit 5 IP_2 April 22, 2011 (1.) a. e^(0.05t)=1600 Answer: t = 147.556 Show your work: ln(e^(0.05t))=ln(1600) 0.05t=ln(1600) (0.05t)/(0.05)=(ln(1600))/(0.05) t=(ln(1600))/(0.05) t=20ln(1600) t = 147.556 b. ln(4x)=3 Answer: x= 5.0214 Show your work: 4x = e^3/4 c. log2(8-6x) = 5 Answer: x= -4 Show work: 8 – 6x = 2^5 6x = 8 – 32 X = - 24/6

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d. 4 + 5e – x = 0 Answer: no solution found Show work: e ^ - x = - 4/5 (2.) a. g(x) = log (x + 5) Description of transformation: shifted left 5 units Equation for vertical asymptote: x = -5 X-intercept in (x, y) form: (- 4, 0) b. g(x) = log ( - x) Description of transformation: no units were moved, stayed in same place Equation for vertical asymptote: x = 0

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Unformatted text preview: X-intercept in (x, y) form: (-1, 0) (3.) a. Answer: 68 % Show work: S (0) = 68 – 20 * log (0 + 1) S (0) = 68 – 20 * 0 = 68 b. Answer: After 4 months: 54.02% After 24 months: 40.04% Show work: S (4) = 68 – 20 * log (4 + 1) = 54.02 S (24) = 68 – 20 * log (24 + 1) = 40.04 c. Answer: t = 6.94 Show work: 50 = 68 – 20 log ( t + 1) t + 1 = 10 ^ (18 / 20) = 7.9433 t= 7.9433 – 1 = 6.94 (4.) a. Answer: A= \$2,938.66 Show work: A= 2000 * (1+ 0.08/1) ^ (1*5) = 2938.66 b. Answer: A= \$2,971.89 Show work: A= 2000 * (1+ 0.08/4) ^ (4*5) = 2791.89 c. Answer: A= \$2,983.66 Show work: A= 2000 * (2.7183) ^ (0.08 * 5) = 2983.66...
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