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 321: 58

Answer

$y=1400(1.05)^{2t}$.

Work Step by Step

The given values are Initial amount $P=\$1400$. Rate of interest $r=10\%=0.10$. Number of time interest is compounded per year. $n=2$. Formula for the compound interest $\Rightarrow y=P(1+\frac{r}{n})^{nt}$ Substitute all the values. $\Rightarrow y=1400(1+\frac{0.10}{2})^{2t}$ Simplify. $\Rightarrow y=1400(1+0.05)^{2t}$ $\Rightarrow y=1400(1.05)^{2t}$.
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