Your friend borrows $7500 to buy an all-terrain vehicle (ATV). The simple annual interest rate is 6%. She pays off the loan after 5 years of equal monthly payments. How much is each payment?

Respuesta :

Answer:

$162.50

Step-by-step explanation:

The total amount to be paid is 7500+5(7500)(0.06)=$9750.

There were a total of (5)(12)=60 payments, so each payment is 9750/60 = $162.50.

She paid $162.5 each month to pay off her loan.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

Given that,

Principle amount (P) = $7500

Rate of interest (R) = 6%

Time period (T) = 5 years

Simple interest is given by = PRT/100

So,

Interest = 7500 × 6 × 5/100 = 2250

Therefore;

Total payout = Principle amount + interest

Total payout = 7500 + 2250 = $9750

Now, since she is paying equal amount of monthly payments

Number of months in the 5 year = 5 × 12 = 60

So,

Monthly payment = 9750/60 = $162.5

Hence "She paid $162.5 each month to pay off her loan".

For more about simple interests,

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