College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.7 - Financial Models - 6.7 Assess Your Understanding - Page 475: 47

Answer

${{\$}} 3017.04$

Work Step by Step

The amount A after t years due to a principal P invested at an annual interest rate r, expressed as a decimal, compounded n times per year is $A=P\displaystyle \cdot\left(1+\frac{r}{n}\right)^{nt}$ --- $t= 5$ years, $r=0.15,$ $n=1$ (annually),$\quad nt=5$ $A=15\cdot 100=1500$ $A=1500(1+0.15)^{5}=1500(1.15)^{5}\approx{{\$}} 3017.04$
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