Final answer:
Robert will pay Jen a total of $13090 at the end of 5 years, which includes the principal of $7700 and the interest of $5390 calculated using the simple interest formula.
Step-by-step explanation:
To calculate how much Robert will pay Jen at the end of 5 years for a loan amount of $7700 at an interest rate of 14%, we use the formula for calculating simple interest, which is Interest = Principal × rate × time.
In this case, the principal is $7700, the rate is 14% or 0.14 when expressed as a decimal, and the time is 5 years.
The interest Robert will owe at the end of 5 years is calculated as:
Interest = $7700 × 0.14 × 5
Interest = $5390
To find out the total amount Robert will pay Jen, we need to add the interest to the principal:
Total Amount = Principal + Interest
Total Amount = $7700 + $5390
Total Amount = $13090
Therefore, Robert will pay Jen a total of $13090 at the end of 5 years.