Answer:
$835.71
Step-by-step explanation:
To solve this problem, we will use the compound interest formula:
![A=P(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
First, lets change 4.75% into a decimal:
4.75% ->
-> 0.0475
Now, plug the values into the equation:
![A=3,200(1+\frac{0.0475}{1})^{1(5)}](https://tex.z-dn.net/?f=A%3D3%2C200%281%2B%5Cfrac%7B0.0475%7D%7B1%7D%29%5E%7B1%285%29%7D)
![A=4,035.71](https://tex.z-dn.net/?f=A%3D4%2C035.71)
Lastly, subtract <em>A </em>from the principal:
![4,035.71 - 3,200 = 835.71](https://tex.z-dn.net/?f=4%2C035.71%20-%203%2C200%20%3D%20835.71)
The interest earned is $835.71