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3241004551 [841]
3 years ago
7

you lend a friend 10,000 dollars for which your friend will repay you 27,027 dollars at the end of 5 years. What interest rate a

re you charging your friend?
Business
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

The interest rate is "21.999%".

Explanation:

The given values are:

Amount lent,

= 10,000

Amount repaid,

= 27,027

Years (n),

= 5

As we know,

⇒  Amount \ repaid = Amount \ lent\times (1+r)^n

On substituting the given values, we get

⇒                27,027=10,000\times (1+r)^5

⇒                  \frac{27,027}{10,000}=(1+r)^5

⇒                 2.7027=(1+r)^5

⇒                 1+r = (2.7027)^{(1/5)}

⇒                 1+r=1.21999

On subtracting "1" from both sides, we get

⇒          1+r-1=1.21999-1  

⇒                      r=0.21999

i.e.,

⇒                      r=21.999 \ percent

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