College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.4 - Page 491: 113

Answer

7 years

Work Step by Step

Insert $A=3(2350)=7050$, the given $P$ and $r$ into the formula and solve for t. $7050=2350e^{0.157t}\qquad.../\div 2350$ $3=e^{0.157t}\qquad .../$apply ln() to both sides.. $\ln 3=0.157t\qquad.../\div 0.157$ $ t=\displaystyle \frac{\ln 3}{0.157}\approx$6.99753050107$\approx$7 years
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