Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Test - Page 496: 26

Answer

(a) $329.3\ g$ (b) $13.9\ days$

Work Step by Step

Given $A(t)=600e^{-0.05t}$, we have: (a) for $t=12$, $A(12)=600e^{-0.05(12)}\approx329.3\ g$ (b) for $A=\frac{600}{2}=300$, we have $300=600e^{-0.05t} \longrightarrow e^{-0.05t}=0.5 \longrightarrow -0.05t=ln(0.5)$, thus $t=-\frac{ln(0.5)}{0.05}\approx13.9\ days$
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