Explanation:
To calculate the future value of your account after 10 years, we can use the formula for compound interest:
FV = PV * (1 + r/n)^(n*t)
where:
FV is the future value of the account
PV is the present value of the account (in this case, $100,000)
r is the annual interest rate (in this case, 5%)
n is the number of times interest is compounded per year (assuming monthly compounding, n=12)
t is the number of years (in this case, 10)
Using this formula, we can calculate the future value of your account after 10 years:
FV = 100000 * (1 + 0.05/12)^(1210) + 80012*10
FV = $146,912.45
Therefore, after 10 years, with $100,000 initial investment, adding $800 per month and an annual interest rate of 5%, you will have approximately $146,912.45 in your account.