Final answer:
To determine the future value of a deposit with annual compound interest, apply the formula FV = P × (1 + r)^n. For a $1000 deposit at 4% annual compound interest, after one year, you would have $1040 in the account.
Step-by-step explanation:
To calculate the future value of a deposit in an account with compound interest, we use the formula for compound interest:
FV = P × (1 + r)^n
Where:
- FV represents the future value of the investment.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (decimal).
- n is the number of years the money is invested.
For a $1000 deposit at 4% annual compound interest, with no additional deposits or withdrawals:
FV = $1000 × (1 + 0.04)^1 = $1000 × 1.04 = $1040
After one year, you would have $1040 in the account.