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

An amount of 18000 is borrowed for 13 years at 4 interest compounded annually If the loan is paid in full at the end of that period how much must be paid back class=

Respuesta :

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 = [tex]P(1+\frac{r}{n})^{nt}[/tex]

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 = [tex]18000(1+\frac{0.04}{1})^{13\times 1}[/tex]

= [tex]18000(1.04)^{13}[/tex]

= 18000(1.66507)

= $29971.32

≈ $29971

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

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