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Lady bird [3.3K]
3 years ago
13

An amount of $18,000 is borrowed for 13 years at 4% interest, compounded annually. If the loan is paid in full at the end of tha

t period, how much must be
paid back?
Use the calculator provided and round your answer to the nearest dollar

Mathematics
1 answer:
Natalka [10]3 years ago
4 0

Answer:

Total amount to be paid back = $29971

Step-by-step explanation:

Formula used to calculate the final amount of the loan to be paid,

Total amount to be paid = P(1+\frac{r}{n})^{nt}

Where P = Principal amount of loan taken

r = rate of interest

n = Number of compounding in a year

t = duration of investment

By substituting the values in the formula,

Total amount to be paid after loan maturity = 18000(1+\frac{0.04}{1})^{13\times 1}

= 18000(1.04)^{13}

= 18000(1.66507)

= $29971.32

≈ $29971

Total amount to be paid after loan maturity will be $29971.

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