Final answer:
The interest accrued after the first month is $65.44.
Step-by-step explanation:
To calculate the amount of interest accrued after the first month, we need to determine the principal amount. The principal amount is the purchase price of the car minus the down payment.
In this case, the principal amount is $19,725.00 - $2,175.00 = $17,550.00.
The interest rate given is 4.75%.
To find the interest accrued after the first month, we use the simple interest formula:
Interest = Principal x Rate x Time
Since the time period is a month, it is equivalent to 1/12 of a year. Substituting the values into the formula, we get:
Interest = $17,550.00 x 0.0475 x (1/12)
= $65.44
Therefore, the interest accrued after the first month is $65.44.