Final answer:
To find the annual rate of interest when a loan is discounted, divide the discount amount by the loan amount and multiply by 100%.
Step-by-step explanation:
To find the annual rate of interest when a loan is discounted, we can use the formula:
Annual interest rate = Discounted amount / Loan amount * 100%
In this case, the loan amount is $7,100 and the discount amount is the interest earned on the loan. Since the loan is for one year and the interest rate is 14%, the discount amount is $7,100 * 0.14 = $994.
Now, we can calculate the annual rate of interest:
Annual interest rate = $994 / $7,100 * 100% = 14%