Final answer:
To calculate the total amount to pay back, use the formula for simple interest. Multiply the principal ($1,177) by the interest rate (4.84%) and the time (5 years). Add the resulting interest to the principal to get the total amount to pay back ($1,463.26).
Step-by-step explanation:
To calculate the total amount you have to pay back to the lender, you need to add the interest to the principal. The formula for calculating simple interest is:
Simple Interest = Principal x Rate x Time
In this case, the principal is $1,177, the rate is 4.84%, and the time is 5 years. Plugging in these values into the formula:
Simple Interest = 1,177 x 0.0484 x 5 = $286.26
Therefore, the total amount you have to pay back to the lender is the sum of the principal and the interest:
Total Amount = Principal + Simple Interest = $1,177 + $286.26 = $1,463.26
R is the rate of interest per year, and T is the time the money is borrowed for in years.
In this case, the student borrowed $1,177 for 5 years with a simple interest rate of 4.84%. Calculating the total interest paid over the 5 years, we have I = 1177 * 0.0484 * 5. The interest I computes to $284.594 (rounded to three decimal places). To find out the total amount to be paid back to the lender, we add the interest to the principal amount: $1177 + $284.594 = $1461.594, which can be rounded to $1461.59.