Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.6 - Exponential Growth and Decay; Modeling Data - Exercise Set - Page 740: 4

Answer

Russia and Japan: $0.5\%$ and $0.6\%$ a year respectively.

Work Step by Step

$A=A_{0}e^{kt},$ where $A$ is the population after $t$ years, $A_{0}$ is the initial population, $k$ is the growth rate if $k>0$ or a decaying rate if $k<0$. Thus, Russia and Japan have the decaying rate at $k=-0.005$ and $k=-0.006$ respectively. Therefore, the population is decreasing at $0.5\%$ and $0.6\%$ a year respectively.
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