Answer:
[tex]A=900(1+\frac{0.06}{2})^{2(t)}[/tex]
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 6% into a decimal:
6% -> [tex]\frac{6}{100}[/tex] -> 0.06
Since the interest is compounded semi-annually, we will use 2 for n. Lets plug in the values now and your equation will be:
[tex]A=900(1+\frac{0.06}{2})^{2(t)}[/tex]
