When a college student takes out a loan of $7,500 from a bank and the bank charges 3.8% interest per annum, the loan balance (future value) after one year (assuming the student has not yet made any payments) will be $7,785.00.
The future value is determined using the FV formula or an online finance calculator as follows:
FV Formula:

FV = future value
PV = present value
r = annual interest rate
= number of periods interest held
FV = 7,500(1.038) = $7,785
Online Finance Calculator:
N (# of periods) = 1 year
I/Y (Interest per year) = 3.8%
PV (Present Value) = $7,500
PMT (Periodic Payment) = $0
Results:
FV (Future Value) = $7,785.00 ($7,500 + $285)
Total Interest = $285.00 ($7,500 x 3.8%)
Complete Question:
4. A college student takes out a loan of $7,500 from a bank. What will the loan balance be after one year (assuming the student has not yet made any payments): plus a. If the bank charges 3.8% interest each year?