Final answer:
The interest component of the first monthly payment for the machine purchased with a one-year installment note at a 12% annual interest rate is $5,760 (option 2).
Step-by-step explanation:
The subject question deals with finding the interest component of a monthly installment for a note payable. The given data includes a machine purchased for $576,000 with a one-year installment note at a 12% annual interest rate, payable in equal monthly payments. To calculate the interest portion of the first monthly payment, we use the formula:
Interest for the first month = Principal × Monthly Interest Rate
The principal amount initially is $576,000, and the monthly interest rate is 12% per annum, which is equivalent to 1% per month (12% divided by 12 months).
Interest for the first month = $576,000 × 0.01 = $5,760
Therefore, the interest component of the first monthly payment is $5,760. This means that the correct answer to the question is option 2) $5,760.