Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

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


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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