Answer:
The answer is "17809.46"
Explanation:
Given:
P= $20,000
quarterly payment k= $699.44
interest rate quarterly r= 7%
[tex]r=\frac{7}{400}\\\\r= 0.0175[/tex]
n=6
Formula:
[tex]\ unpaid \ balance = P(1+r)^n-K\times \frac{(1+r)^n-1}{r}[/tex]
[tex]=20,000(1+0.0175)^6-699.44\times \frac{(1+0.0175)^6-1}{0.0175}\\\\=20,000(1.0175)^6-699.44\times \frac{(1.0175)^6-1}{0.0175}\\\\=20,000\times 1.10970235-699.44\times \frac{1.10970235-1}{0.0175}\\\\=22,194.047-699.44 \times \frac{0.10970235}{0.0175}\\\\=22,194.047-699.44 \times 6.26870571\\\\=22,194.047-4384.58352\\\\=17809.4635\\\\[/tex]
The final answer is "[tex]\bold{= 17809.46}\\[/tex]".
