Final answer:
To find out how much money you will have in the account after 5 years with compound interest, use the formula A = P(1 + r/n)^(nt).
Step-by-step explanation:
To find out how much money you will have in the account after 5 years, we need to use the compound interest formula. The formula is:
A = P(1 + r/n)^(nt)
Where:
- A is the final amount
- P is the principal (initial amount)
- r is the annual interest rate (in decimal form)
- n is the number of times the interest is compounded per year
- t is the number of years
In this case, P = $5000, r = 2% (0.02 in decimal form), n = 12 (compounded monthly), and t = 5. Plugging in these values, we get:
A = 5000(1 + 0.02/12)^(12*5) = $5510.98
So, you will have approximately $5510.98 in the account after 5 years.