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Faith is taking an $8,100, 2 ½ -year loan with an APR of 8. 22%. What is the monthly payment for this loan?

Sagot :

Using simple interest, it is found that the monthly payment for this loan is of $325.485.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, the parameters are A(0) = 8100, r = 0.0822, t = 2.5, hence, the total amount is:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]A(t) = 8100[1 + 0.0822(2.5)][/tex]

[tex]A(t) = 9764.55[/tex]

it will be paid over 2.5 x 12 = 30 months, hence the monthly payment is given by:

M = 9764.55/30 = $325.485.

More can be learned about simple interest at https://brainly.com/question/25296782