We can use the formula for compound interest to find the amount in the account after 5 years:
A = P(1 + r/n)^(nt)
where:
A = the amount in the account after 5 years
P = the principal (initial amount) = $200.00
r = the annual interest rate as a decimal = 0.09
n = the number of times the interest is compounded per year = 1 (compounded annually)
t = the time in years = 5
Plugging in the values, we get:
A = $200.00(1 + 0.09/1)^(1*5)
A = $200.00(1.09)^5
A = $200.00(1.538624)
A = $307.72
Therefore, there will be $307.72 in the account after 5 years.