Final answer:
To find the interest on the first payment of an installment loan with a principal of $6000 and a 15% annual interest rate, you use the formula Interest = Interest Rate × (1/12) × Principal. The calculation shows that $75 of the first payment will be interest.
Step-by-step explanation:
To calculate the amount of interest on the first payment of an installment loan, you can use the given formula:
Interest
= (Interest Rate) × (1/12) × (Principal)
Given a principal of $6000 and an annual interest rate of 15%, the interest for the first month can be calculated as follows:
Interest = 0.15 × (1/12) × $6000
= 0.15 × 0.083333 × $6000
= $75
Therefore, $75 of the first monthly payment will be allocated towards interest. This calculation assumes that the loan is based on simple interest, not compound interest.