Final answer:
The total interest on a $5,000 loan at 6% for three years is $900. To find the interest rate on a $10,000 loan that earns $500 over five years, the rate is calculated to be 1%.
Step-by-step explanation:
To calculate the total amount of interest on a $5,000 loan with a simple interest rate of 6% for three years, you can use the formula Interest = Principal × rate × time. Applying these values:
Interest = $5,000 × 6% × 3 years = $900
The total interest for the loan over the three years would be $900.
To find the interest rate charged on a loan of $10,000, where $500 is received as simple interest over five years, rearrange the simple interest formula:
$500 = $10,000 × rate × 5 years
Solve for the rate:
rate = $500 / ($10,000 × 5) = 1%
The interest rate charged would be 1%.