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: 46

Answer

${{\$}} 2955.39$

Work Step by Step

The present value $P$ of $A$ dollars to be received after $t$ years, assuming a per annum interest rate $r$ compounded $n$ times per year, is $P=A\displaystyle \cdot\left(1+\frac{r}{n}\right)^{-nt}$ --- $t=$ 6 months = $0.5$ years, $r=0.03,$ $n=12$ (monthly) $A=3000$ $P=3,000\displaystyle \left(1+\frac{0.03}{12}\right)^{(-12)(0.5)}\approx{{\$}} 2955.39$
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