To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the total amount in the account after t years
P = the principal amount (the initial deposit)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, we have:
P = $6000
r = 0.07 (7% as a decimal)
n = 12 (compounded monthly)
t = 15
So we can plug these values into the formula:
A = $6000(1 + 0.07/12)^(12*15)
A = $6000(1.00583)^(180)
A = $6000(2.1961)
A = $13,176.60
Therefore, you will have $13,176.60 in the account after 15 years.