Final answer:
To calculate the future value of an account with monthly deposits and compound interest, you can use the formula for compound interest.
Plugging in the given values, the amount in the account after 11 years is approximately $14,035.82.
Step-by-step explanation:
Using the formula for compound interest:
A = P(1 + r/n)^(nt)
- A = the future value of the account
- P = the principal amount (initial deposit)
- r = the annual interest rate (4.2% as a decimal, which is 0.042)
- n = the number of times the interest is compounded per year (monthly, so n = 12)
- t = the number of years (11 in this case)
Plugging in the given values, we have:
A = 100(1 + 0.042/12)^(12 * 11)
A = 100(1.0035)^132
A ≈ $14,035.82