Answer:
D) $11,499.63
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 4% into a decimal:
4% -> [tex]\frac{4}{100}[/tex] -> 0.04
Since the interest is compounded 6 times a year, we will use 6 for n. Lets plug in the values now:
[tex]A=7,417(1+\frac{0.04}{6})^{6(11)}[/tex]
[tex]A=11,499.63[/tex]
Your answer is D) $11,499.63