Calculate the final amount earned on a 2500 investment at a rate of 3% compound interest per year for half a year.

First, we need to find the interest earned during half a year.

Half a year is equivalent to 0.5 years.

Interest = Principal x Rate x Time
Interest = 2500 x 0.03 x 0.5
Interest = $37.50

Now, we can calculate the final amount earned:

Final amount = Principal + Interest
Final amount = 2500 + 37.50
Final amount = $2537.50

Therefore, the final amount earned on a 2500 investment at a rate of 3% compound interest per year for half a year is $2537.50.