Final answer:
To calculate how much you would have 5 years later, we can use the compound interest formula. Invest $3,000 at 10% compounded monthly and you would have approximately $4,634.80 after 5 years.
Step-by-step explanation:
To calculate how much you would have 5 years later, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
In this case, P = $3,000, r = 10% or 0.1, n = 12 (since interest is compounded monthly), and t = 5 (years).
Plugging in these values, we get:
A = 3000(1 + 0.1/12)^(12*5)
A = $4,634.80
Therefore, you would have approximately $4,634.80 after 5 years if you invest your $3,000 at 10% compounded monthly.