Answer:
$3,440.86
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, change 11% into its decimal form:
11% -> [tex]\frac{11}{100}[/tex] -> 0.11
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
[tex]A=2,000(1+\frac{0.11}{4})^{4(5)}[/tex]
[tex]A=3,440.86[/tex]
The balance will be $3,440.86 after 5 years.