Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 6.5 Assess Your Understanding - Page 419: 54

Answer

$ \$10580.11.$

Work Step by Step

According to the Compound Interest Formula, where $P$ is the principal, the amount deposited, $r$ is the annual interest rate, $n$ is the number of times the interest is compounded annually, $t$ is the number of years, $A$ is the amount you get back after $t$ years: $A=P\cdot(1+\frac{r}{n})^{n\cdot t}.$ Here we have: $t=7\text{ years}$ $r=4\%=0.04$ $P=\$8000$ $n=12$ (since it is compounded monthly) Substitute these values into the formula above to obtain: Here $A=8000\cdot(1+\frac{0.04}{12})^{12\cdot 7}= \$10580.11.$
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