The formula to calculate the final amount in a retirement account with compound interest is:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the initial amount or principal
r is the interest rate
n is the number of times interest is compounded per year
t is the number of years
Plugging in the given values:
P = $7,000
r = 3.3% = 0.033
n = 4 (quarterly compounding)
t = 25 years
A = 7000(1 + 0.033/4)^(4*25)
A = 7000(1.00825)^(100)
A ≈ 7000(1.525589257)
A ≈ $10,678.13
Therefore, Anne’s final amount after 25 years of investment is $10,678.13.