a)
P=S∗(i∗(1+i)n(1+i)n−1)P=S*(\frac{i*(1+i)^n}{(1+i)^n-1})P=S∗((1+i)n−1i∗(1+i)n)
P-payments
S- sum of borrowed
i-interest rate
n-number of years
1413.56=S∗(0.07∗1.07n1.0725−1)1413.56=S*(\frac{0.07*1.07^{n}}{1.07^{25}-1})1413.56=S∗(1.0725−10.07∗1.07n)
S=16,475.06S=16,475.06S=16,475.06
b) 45,000+16,475.06=61,475.06
c) SSS6=16,475.06∗1.076=24,724.62=16,475.06*1.07^6=24,724.62=16,475.06∗1.076=24,724.62
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