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Klio2033 [76]
2 years ago
8

Nico makes annual end-of-year payments of $5,043.71 on a four-year loan with an interest rate of 13 percent. The original princi

pal amount was ________.
Mathematics
1 answer:
natita [175]2 years ago
5 0

We need to find the principal amount on an interest rate of 13% where the end of year payment is $5043.71.

The original amount is \$15002.37.

i = Interest rate = 13%

n = Compounding period = 4 years

E = End of year payment = $5043.71

The required formula is

P=\dfrac{E[1-(1+i)^{-n}]}{i}\\\Rightarrow P=\dfrac{5043.71[1-(1+0.13)^{-4}]}{0.13}\\\Rightarrow P=\$15002.37

The original principal amount was \$15002.37.

Learn more:

brainly.com/question/2284670

brainly.com/question/13900121

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