Respuesta :

The balance of the loan at 14 months= $10,561.25

It would take a total 23 months to pay off the loan.

The total amount of money paid for the car is = $9,052.5

Calculation of loan compounded monthly

The total loan for the car = $8,500

The rate at which the loan is compounded monthly is

= 6.5%

The monthly payment for the loan = $390

  • To calculate the balance of the loan at 14 months;

Find the simple interest

= P×T×R/100

= 8,500 × 1 × 6.5/100

= 55,250/100

= $552.5

If 12 months = 8,500 + 552.5

14 months = X

make X the subject of formula,

X = 14 × 9052.5/12

X= 126,735/12

X = $10,561.25

  • To calculate the period of time it will take to pay off the loan

The amount paid monthly = $390

The amount to be paid for the loan with interest = 8,500 + 552.5 = $9,052.5

If 1 month = $390

× month = $9,052.5

Make X the subject of formula,

X = $9,052.5/$390

X= 23 months

The total amount of money paid for the car is already calculated which is through the simple interest

= P×T×R/100

= 8,500 × 1 × 6.5/100

= 55,250/100

= $552.5

  • Total amount of money paid for the car

= 8,500 + 552.5

= $9,052.5

Learn more about simple interest here:

https://brainly.com/question/20690803

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