If you make the minimum payment at the end of the first month, $50 will go towards the principal.
To calculate the interest accrued by the end of the first month, we first need to find the daily interest rate. The daily interest rate is calculated by dividing the annual percentage rate (APR) by 365 days.
Daily interest rate = 12.75% / 365 = 0.0003493
Next, we calculate the interest accrued by multiplying the average daily balance by the daily interest rate, and then multiplying that by the number of days in the billing cycle (let's assume a 30-day billing cycle):
Interest accrued = $848.42 * 0.0003493 * 30 = $8.38
Therefore, with a minimum payment made at the end of the first month, you would save $8.38 in interest by paying at the beginning of the month and reducing the principal before the interest is calculated.