Will bought a new car and financed $14,000 to make the purchase. He financed the car for 72 months with an APR of 6.5%. Assuming he made monthly payments, determine the total interest Will paid over the life of the loan. Round your answer to the nearest cent, if necessary.

Respuesta :

Solution:

The formula for monthly payment is shown below

From the question:

[tex]\begin{gathered} p=\text{ \$14000} \\ r=6.5\text{ \%= 0.065} \\ n=72 \end{gathered}[/tex][tex]M=\frac{14000(\frac{0.065}{12})(1+\frac{0.065}{12})^{72}}{(1+\frac{0.065}{12})^{72}-1}[/tex][tex]\begin{gathered} M=\frac{1400(0.00541667)(1.475427)}{1.475427-1} \\ \\ M=\frac{111.88662}{0.475427}\text{ = 235.339} \\ M=\text{ \$}235.34 \end{gathered}[/tex]

The monthly payment = $235.34

Total amount paid = $235.339 x 72 = $16944.424

Total interest Will paid over the life of the loan = $16944.424 - $14,000 = $2944.424

You are

Thus, Total interest Will paid over the life of the loan = $2944.42 (nearest cent)

Ver imagen MaximillionT530263