Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Review - Exercises - Page 390: 104

Answer

$43$

Work Step by Step

Using relation $T(t)=T_s+D_0e^{-kt}$ ...(1) As we are given that $T(t)=90; T_s=60; k=0.0341$ and $D_0=190-60=130$ Equation (1), becomes $90=60+130e^{-0.0341t}$ This can be solved as: $e^{-0.0341t}=\dfrac{30}{130} \\ \implies -0.0341t=ln (\dfrac{30}{130})$ or, $t=\dfrac{1.466}{0.0341} \approx 43$
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