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Mr

Accounting Apr 01, 2021

Mr. Barboza needed to take a loan out for a new car. The principal amount of his loan was $23.580. He paid the loan off after 3 years, and paid a total of $32,068.80 for the principal and interest. What was his annual loan interest rate? 
 

Expert Solution

Computation of Interest Rate on Loan:

Amount = Principal*(1+Rate)^Time

$32,068.80 = $23,580*(1+Rate)^3 years 

$32,068.80/$23,580 = (1+Rate)^3 years 

1.3600 = (1+Rate)^3 years 

1+Rate = 1.3600^(1/3)

Rate = 1.1079 - 1

Rate = 0.1079 or 10.79%

So, Annual Loan Interest Rate is 10.79%.

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