## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 5 - 5.5 - Exponential and Logarithmic Models - 5.5 Exercises - Page 405: 6

#### Answer

a) $P=\frac{A}{(1+\frac{r}{n})^{nt}}$ b) $\dfrac{\log_{1+\frac{r}{n}}{\frac{A}{P}}}{n}$

#### Work Step by Step

a) $A=P(1+\frac{r}{n})^{nt}\\P=\frac{A}{(1+\frac{r}{n})^{nt}}$ b) $A=P(1+\frac{r}{n})^{nt}\\\frac{A}{P}=(1+\frac{r}{n})^{nt}\\\log_{1+\frac{r}{n}}{\frac{A}{P}}=nt\\t=\dfrac{\log_{1+\frac{r}{n}}{\frac{A}{P}}}{n}$

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