To calculate the interest earned at the end of the first year, we need to calculate the interest earned on each deposit separately and then add them together.

For the first deposit of Birr500, the interest earned after 6 months would be:

Interest = Principal * Rate * Time Interest = 500 * 0.059 * (6/12) Interest = 500 * 0.059 * 0.5 Interest = 14.75 Birr

For the second deposit of Birr350, the interest earned after 6 months would be:

Interest = Principal * Rate * Time Interest = 350 * 0.059 * (6/12) Interest = 350 * 0.059 * 0.5 Interest = 10.325 Birr

Therefore, the total interest earned at the end of the first year would be:

Total Interest = Interest on first deposit + Interest on second deposit Total Interest = 14.75 + 10.325 Total Interest = 25.075 Birr

Muna will earn 25.075 Birr in interest at the end of the first year.