Find the balance in an account when $500 is deposited at 4% interest compounded semi-annually for 2 years

$541.22

Step-by-step explanation:

We are given;

Amount deposited (principal) is $500

Rate of interest is 4%

Time = 2 years

We are required to determine amount in the account after 2 years

Interest periods, n = 4 (since the money was compounded semi-annually)

rate of interest, r = 2%

Using the compound  interest formula;

Amount, A = P (1 + r/100)^n

Therefore;

Amount = $500 (1 + 2/100)^4

             = $500 × 1.02^4

            = $541.22

Therefore, the balance in the account after 2 years is $541.22