Answer :
Answer:
$835.71
Step-by-step explanation:
To solve this problem, we will use the compound interest formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, lets change 4.75% into a decimal:
4.75% -> [tex]\frac{4.75}{100}[/tex] -> 0.0475
Now, plug the values into the equation:
[tex]A=3,200(1+\frac{0.0475}{1})^{1(5)}[/tex]
[tex]A=4,035.71[/tex]
Lastly, subtract A from the principal:
[tex]4,035.71 - 3,200 = 835.71[/tex]
The interest earned is $835.71