We can use the formula for the monthly payment of a loan to calculate the amount we need to pay each month:
M = (P * r * (1+r)^n) / ((1+r)^n - 1)
Where:
M = the monthly payment
P = the principal (the amount borrowed)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of months in the loan term (which is the number of years multiplied by 12)
Plugging in the given values, we get:
P = $3825
r = 15% / 12 = 0.0125
n = 4 years * 12 = 48 months
M = ($3825 * 0.0125 * (1+0.0125)^48) / ((1+0.0125)^48 - 1)
M ≈ $94.87
Therefore, the monthly payment will be approximately $94.87.