College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Exercises - Page 426: 94

Answer

$t=15.4~years$

Work Step by Step

$A=Pe^{rt}$ $r=4.5$% $=0.045$ $A=2P$ $2P=Pe^{0.045t}$ $e^{0.045t}=2$ $\ln e^{0.045t}=\ln2$ $0.045t=\ln2$ $t=\frac{\ln2}{0.045}=15.4$
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