# MATH133_U5_answer - b y=log-x is a reflection over the...

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NAME: ___Jeremy Dellinger_________________________ Student Answer form Unit 5; show all work for full credit; trial and error (guess and check) methods are not appropriate; use methods covered in class. 1. a. t=20ln(1600) t≈147.552 b. x=e^3/4 c. 2^5=8-6x 32=8-6x 6x=8-32=-24 x=-4 d. e^(-x)= -4/5 2. a. horizontal shift to the left by 5 units log(x)=0 x= -5 x-intercept: set y=0 0 = log(x+5) x+5=10^0 x+5=1 x=-4 (-4,0) is the x-intercept y-intercept: set x=0 y= log(5) (0, log(5) is the y-intercept

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Unformatted text preview: b. y=log(-x) is a reflection over the y-axis of y=logx vertical—x=0 3. a. 50=68-20log(t+1),t≥0-18=-20*log(t+1) 0.9=log(t+1) t+1=10^0.9 t=6.943 months b. 4 months—54% 24 months—40% c. 6.9 months is when the average score was 50% 4. a. A=P(1+r)^nt A=2000(1+.08)^5 A=2000(1.46933) A=\$2938.65 b. A=2000(1+.08/4)^4*5 A=2000(1.02)^20 A=2000(1.485947) A=\$2971.89 c. A=Pe^rt A=2000(2.7183)^.08*5 A=2000(1.491828687) A=\$2983.67...
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