If you get a loan of $1,500 at an interest rate of 10% and the monthly payment is $131.85, what is the new principal after the first payment?​ (please explain how you got it)

Respuesta :

Answer:

The new principal after the first payment is $ 1,380.65

Step-by-step explanation:

1. We calculate the amount of interest to pay in the first payment, this way:

Interest = Amount of loan * (interest rate/months in a year)

Replacing with the real values we know:

Interest = 1,500 * (0.1/12)

Interest = 1500 * 0.0083 = $ 12.50

2. Now we subtract the Interest from the monthly payment, as follows:

Payment to principal = 131.85 - 12.50

Payment to principal = $ 119.35

3. Finally we subtract that 1st payment to principal from the initial principal to get the new principal, this way:

New Principal = 1,500 - 119.35

New Principal = $ 1,380.65

The new principal after the first payment is $ 1,380.65