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arlik [135]
3 years ago
5

An entrepreneur borrows $500,000 today. The interest rate is 11.5%. If the entrepreneur makes annual payments of $70,000 per yea

r, how many years will it take to repay the loan?
Business
1 answer:
love history [14]3 years ago
6 0

Answer:

After 18.44 year loan will be paid

Explanation:

We have given an entrepreneur borrows $500,000 today.

So total amount is $500000

Annual payment is of $70000

Rate of interest r = 11.5 %

We have to find the time period

We know that total amount is given by

A=P(1+\frac{r}{100})^n, here A is total amount , P is yearly paid amount, r is rate of interest and n is time period

So 500000=70000\times (1+\frac{11.25}{100})^n

7.142=1.1125^n

Taking log both side

log7.142=nlog1.1125

n\times 0.0463=0.8538

n = 18.44 year

So after 18.44 year loan will be paid

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