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 319: 14

Answer

$y=35,000(1.04)^t$.

Work Step by Step

Initial value $a=\$35,000$ Rate of growth $r=4\%=0.04$ The exponential growth function is $\Rightarrow y=a(1+r)^t$ Substitute $35,000$ for $a$ and $0.04$ for $r$. $\Rightarrow y=35,000(1+0.04)^t$ Simplify. $\Rightarrow y=35,000(1.04)^t$.
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