Subjects algebra

Salary Calculations 51D2B8

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1. **Problem statement:** We need to calculate Maria's weekly salary based on her hourly wage and hours worked, including overtime pay, and then calculate an employee's net annual salary after tax deductions based on given tax brackets. --- 2. **Calculating weekly salary without overtime:** Formula: $$\text{Salary} = \text{Hourly rate} \times \text{Hours worked}$$ Given: Hourly rate = 12, Hours worked = 38 Calculation: $$\text{Salary} = 12 \times 38 = 456$$ So, Maria earns 456 for a 38-hour week. --- 3. **Calculating total earnings with overtime:** Overtime pay rate = 1.5 times hourly rate Overtime hours = 10 Regular pay = 12 \times 38 = 456 Overtime pay = 1.5 \times 12 \times 10 = 18 \times 10 = 180 Total earnings = Regular pay + Overtime pay = 456 + 180 = 636 --- 4. **Calculating net annual salary after tax:** Annual salary = 50000 Tax brackets: - 0% for first 10000 - 10% for next 20000 - 20% for remaining amount Step 1: Calculate tax for each bracket Tax on first 10000 = 0% \times 10000 = 0 Tax on next 20000 = 10% \times 20000 = 0.10 \times 20000 = 2000 Remaining amount = 50000 - 10000 - 20000 = 20000 Tax on remaining = 20% \times 20000 = 0.20 \times 20000 = 4000 Step 2: Total tax = 0 + 2000 + 4000 = 6000 Step 3: Net salary = Annual salary - Total tax = 50000 - 6000 = 44000 --- **Final answers:** 1. Weekly salary without overtime: 456 2. Total earnings with 10 hours overtime: 636 3. Net annual salary after tax: 44000