Answer
$Q=1096.633 e^{-3 t}$
Work Step by Step
We want to convert the given function in the form $Q=a e^{k t}$. We use the property that $e^{m+n}=e^m \cdot e^n$. Thus, we have
$Q=e^7 \cdot e^{-3 t}=1096.633 e^{-3 t}$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 4 - Exponential Functions - 4.5 The Number e - Exercises and Problems for Section 4.5 - Skill Refresher - Page 172: S11
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