Answer
$10.4$ seconds
Work Step by Step
Plugging in $v=70$ into the equation, we obtain:
$70=80(1-e^{-0.2t})\\7/8=1-e^{-0.2t}\\e^{-0.2t}=1/8\\\ln(1/8)=-0.2t\\t=\frac{\ln(1/8)}{-0.2}\approx10.4~s$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 405: 96
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