Math Problem Statement
Solution
Let’s solve the problem step by step:
Given:
- Regular hourly rate: $17.70/hour
- Total hours worked: 50.75 hours
- Overtime threshold: 40 hours/week
- Overtime pay rate: 1.5 times the regular hourly rate
Calculations:
-
Regular Pay Amount:
- Regular hours: 40 hours
- Regular pay = Regular hours × Hourly rate
=
-
Overtime Pay:
- Overtime hours: hours
- Overtime pay rate: per hour
- Overtime pay = Overtime hours × Overtime rate
=
-
Gross Pay:
- Gross pay = Regular pay + Overtime pay
=
- Gross pay = Regular pay + Overtime pay
Final Answers:
- Regular pay amount: $708.00
- Overtime pay: $285.41
- Gross pay: $993.41
Let me know if you’d like further clarifications or have additional questions!
Related Questions:
- How would the gross pay change if the overtime rate was doubled instead of 1.5 times?
- What if Alice worked 60 hours instead of 50.75 hours—how would her gross pay change?
- How is overtime calculated for different industries, and are there any standard legal guidelines?
- What would happen if Alice’s hourly rate increased by 10%?
- How do state-specific overtime rules affect pay calculations?
Tip: Always double-check your overtime calculations when hours worked exceed the threshold, as errors can significantly impact payroll processing!
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Basic Algebra
Payroll Calculations
Formulas
Regular Pay = Regular Hours × Hourly Rate
Overtime Pay = Overtime Hours × Overtime Rate
Gross Pay = Regular Pay + Overtime Pay
Theorems
-
Suitable Grade Level
High School
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