Final answer:
Tate's gross annual pay is calculated by considering his regular pay for 2080 hours and overtime pay for 208 hours at 1.5 times his regular hourly wage, totaling $41,501.20. The options provided do not contain the correct answer.
Step-by-step explanation:
To calculate the gross annual pay for Tate, we need to take into account both his regular hours and his overtime hours. Tate works 40 hours each week, which is considered full-time work. Since there are 52 weeks in a year, his regular annual hours worked will be 40 hours/week x 52 weeks/year = 2080 hours/year. For overtime, Tate works an additional 8 hours every two weeks. There are 26 two-week periods in a year, so his total overtime hours for the year would be 8 hours/period x 26 periods/year = 208 hours/year. Overtime pay is typically 1.5 times the regular hourly wage. Therefore, his overtime hourly wage would be $17.35 x 1.5 = $26.025.
To calculate Tate's gross annual pay, we use the following:
- Regular pay: 2080 hours/year x $17.35/hour = $36,088
- Overtime pay: 208 hours/year x $26.025/hour = $5,413.20
- Total gross annual pay: $36,088 + $5,413.20 = $41,501.20
Please note that the options provided do not contain the correct answer, as Tate's gross annual pay is actually higher than the highest option given. Therefore, the correct answer is not among the options listed.