Question

Carol's starting pay for her summer job is $10.25 per hour. Carol earns exactly 3 raises this summer.

Answer 1

We know that
1) Carol's starting pay for her summer job is $10.25 per hour
Carol earn per hour=$10.25 per hour

2) For the first rise, she receives a 50 cent-per-hour raise
10.25+0.50=10.75
Carol earn per hour=$10.75 per hour

3) For the second rise, she receives a 10% raise per hour
10.75*1.10=11.825
Carol earn per hour=$11.825 per hour

4) For the third rise, she receives another 50 cent-per-hour raise
11.825+0.50=12.325
Carol earn per hour=$12.325 per hour

5) At the start of next summer. She will be given a 5% raise per hour based on her pay at the end of this summer. 
12.325*1.05=12.94125
Carol will earn per hour=$12.94 per hour

the answer is
$12.94 per hour