Answer:
$2,323.23
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
[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, we will change 3% into its decimal form:
3% -> [tex]\frac{3}{100}[/tex] -> 0.03
Now, plug the values into the equation:
[tex]A=2,000(1+\frac{0.03}{12})^{12(5)}[/tex]
[tex]A=2,323.23[/tex]
After 5 years, you will have $2,323.23