# MATH

posted by Roxana

In order to make some home improvements, a home owner spent \$24,000. He paid 18% as a down payment and financed the balance of the purchase with a 36-month fixed installment loan with an APR of 4.5%. Determine the home owner's total finance charge and monthly payment

1. Henry

% Financed = 100% - 18% = 82%.

Amt. Financed = \$24,000 * 0.82 = \$19,680.

Pt = Po*r*t / (1 - (1+r)^-t).

r = 4.5% / 12 = 0.375% = 0.00375 = Monthly % rate expressed as a decimal.

Pt=(19680*0.00375*36)/(1-(1.00375)^-36,
Pt=2656.80 / 0.126063452 = \$21,075.10.

Int.=Pt - Po=21075.10 - 19680=\$1395.10

Monthly Payments=21,075.10 / 36 = \$585.42.

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