Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.4 - Exponential Growth and Decay - Exercises - Page 320: 30

Answer

$y=20,000(0.866)^t$

Work Step by Step

Initial value $a=\$20,000$ Rate of decay $r=13.4\%=0.134$ The exponential decay function is $\Rightarrow y=a(1-r)^t$ Substitute $20,000$ for $a$ and $0.134$ for $r$. $\Rightarrow y=20,000(1-0.134)^t$ Simplify. $\Rightarrow y=20,000(0.866)^t$.
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