College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 97


$i=-100\pm 100\sqrt{\frac{A}{P}}$

Work Step by Step

$A=P(1+\displaystyle \frac{i}{100})^{2}$ Divide by P: $\frac{A}{P}=(1+\frac{i}{100})^{2}$ Square root both sides: $\pm\sqrt{\frac{A}{P}}=1+\frac{i}{100}$ Subtract 1: $-1\pm\sqrt{\frac{A}{P}}=\frac{i}{100}$ Solve for $i$: $i=-100\pm 100\sqrt{\frac{A}{P}}$
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