Answer:
$7,544.58
Step-by-step explanation:
We will 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 3.3% into its decimal form:
3.3% -> [tex]\frac{3.3}{100}[/tex] -> 0.033
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
[tex]A=7,300(1+\frac{0.033}{12})^{12(1)}[/tex]
[tex]A=7,544.58[/tex]
The balance after 1 year will be $7,544.58