Answer
$4200\ yr$
Work Step by Step
Step 1. State the model equation $A(t)=A_0e^{-0.0001216t}$ (textbook page 476)
Step 2. Given $A(t)=0.6A_0$, we have $0.6A_0=A_0e^{-0.0001216t}$, thus $t=\frac{1}{-0.0001216}ln(0.6)\approx4200\ yr$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.6 Applications and Models of Exponential Growth and Decay - 4.6 Exercises - Page 480: 24
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