College Algebra 7th Edition

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: 93

Answer

$t=\frac{\ln2}{0.085}=8.155~years$

Work Step by Step

$A=Pe^{rt}$ $r=8.5$% $=0.085$ $P=1000$ $A=2000$ $2000=1000e^{0.085t}$ $2=e^{0.085t}$ $\ln2=\ln e^{0.085t}$ $\ln2=0.085t$ $t=\frac{\ln2}{0.085}=8.155$
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