Final answer:
The account will have approximately $5,948.69 after 5 years.
Step-by-step explanation:
To calculate the amount of money that will be in the account after 5 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial deposit), r is the annual interest rate (9% in this case), n is the number of times the interest is compounded per year (12 for monthly compounding), and t is the number of years.
Using this formula, we can calculate:
A = 4000(1 + 0.09/12)^(12*5)
A ≈ 4000 * 1.0075^60 ≈ 4000 * 1.487172 ≈ $5,948.69
Therefore, after 5 years, there will be approximately $5,948.69 in the account.