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 476: 55

Answer

The federal government has to pay back about ${{\$}} 1019$ billion. Interest = ${{\$}} 232$ billion.

Work Step by Step

$r=0.013, P=787$ (billion), $t=20, $ compounded $n=2 $ times a year: $A=P\displaystyle \cdot(1+\frac{r}{n})^{nt}=787(1+\frac{0.013}{2})^{2\cdot 20}\approx{{\$}} 1019$ billion $I= A-P=1019-787={{\$}} 232$ billion. The federal government has to pay back about ${{\$}} 1019$ billion. Interest = ${{\$}} 232$ billion.
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