Answer:
The balance of the loan be after one year will be $7785
Explanation:
we are given
A college student takes out a $7,500 loan from a bank
so, P=7500
time is 1 year
so, t=1
the bank charges 3.8% interest each year
so, r=3.8%
r=0.038
now, we can use formula
![A=P(1+r)^(t)](https://img.qammunity.org/2020/formulas/mathematics/high-school/wh2y58ryi717m78iqyt0bjjm2uj7s6maan.png)
where
A is amount after t years
so, we can plug values
![A=7500(1+0.038)^(1)](https://img.qammunity.org/2020/formulas/mathematics/high-school/rpxws879tl7bc6l8dhwx80n077461kr4iu.png)
![A=7785](https://img.qammunity.org/2020/formulas/mathematics/high-school/llbf8we0h9l7v8p6nppmdo1myorsh40oga.png)
So,
The balance of the loan be after one year will be $7785