Explanation:
Sophie worked a total of 75 hours during this pay cycle.
For the first week, she worked 40 hours, and for the second week, she worked 35 hours, which means she didn't work any overtime hours.
To calculate her gross earnings for this pay cycle, we need to calculate her regular pay for the two weeks, her vacation pay, her overtime pay (if any), and her cash reimbursements.
Regular pay for two weeks:
40 hours x $30/hour = $1,200 (first week)
35 hours x $30/hour = $1,050 (second week)
Total regular pay = $1,200 + $1,050 = $2,250
Vacation pay:
8% of $2,250 = $180
Cash reimbursements:
$973.45
Overtime pay:
Sophie didn't work any overtime hours during this pay cycle.
Now, we can calculate her gross earnings:
Regular pay + vacation pay + cash reimbursements =
$2,250 + $180 + $973.45 = $3,403.45
Therefore, Sophie's gross earnings for this pay cycle are $3,403.45.