Final answer:
The equal annual payment required to complete the repayment of the loan in 6 years is $2,866.67.
Step-by-step explanation:
In this question, we are given a 6-year loan of $10,000 at 12% per year. The interest is charged on the principal, which means that interest is calculated each year based on the original loan amount. We need to find the equal annual payment required to complete the repayment of the loan in 6 years.
First, let's calculate the interest for each year. The interest for the first year would be 12% of $10,000, which is $1,200. The interest for the second year would also be 12% of $10,000, which is $1,200. We can see a pattern here, where the interest for each year is the same.
To calculate the equal annual payment required, we need to add the principal and interest for each year and divide it by the number of years. In this case, the total amount to be repaid would be $10,000 (principal) + ($1,200 x 6 years) = $17,200. So, the equal annual payment required would be $17,200 / 6 years = $2,866.67.