To compare the two accounts, we need to calculate the final amount in each account after the given period.
For the simple interest account:
I = P * r * t
I = 250 * 0.03 * 3 = $22.50
Final amount = P + I = $272.50
For the compound interest account:
Final amount = P * (1 + r/n)^(nt)
Final amount = 250 * (1 + 0.04/2)^(22) = $276.16
Therefore, the compound interest account earns more by $3.66 ($276.16 - $272.50).