College Algebra 7th Edition

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

Chapter 4, Exponential and Logarithmic Functions - Section 4.6 - Modeling with Exponential Functions - 4.6 Exercises - Page 415: 8

Answer

(a).$n(t)=391.9$ (b).$n(t)=73.04$

Work Step by Step

$n(t)=n_0\times e^{rt}$. Whereas,$n(t)$ is population at time $t$, $n_0$ is Initial size of the population, $r$ is relative rate of growth, and $t$ is time. (a).$n_0=22$, $r=0.12$, $t=24$. $n(t)=22\times e^{0.12 \times 24}=391.9$ (b).$n_0=22$, $r=0.05$, $t=24$. $n(t)=22\times e^{0.05 \times 24}=73.04$
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