Subjects algebra

Salary Calculation 12A5Fd

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1. **Problem Statement:** Jonas has an annual salary of 312000, works 22 days per month, 8 hours per day. He worked 2 hours overtime on Monday and 3 hours night shift on Saturday (rest day). 2. **Formulas and Rules:** - Monthly salary = Annual salary \div 12 - Daily rate = Monthly salary \div Number of working days per month - Hourly rate = Daily rate \div Number of working hours per day - Overtime pay rate = Hourly rate \times 1.25 (125% of hourly rate) - Night shift pay rate on rest day = Hourly rate \times 1.3 \times 2 (130% for night shift, doubled for rest day) 3. **Calculations:** - Monthly salary = $$\frac{312000}{12} = 26000$$ - Daily rate = $$\frac{26000}{22} \approx 1181.82$$ - Hourly rate = $$\frac{1181.82}{8} \approx 147.73$$ 4. **Overtime pay:** - Overtime hourly rate = $$147.73 \times 1.25 = 184.66$$ - Overtime pay for 2 hours = $$184.66 \times 2 = 369.32$$ 5. **Night shift pay on rest day:** - Night shift hourly rate = $$147.73 \times 1.3 \times 2 = 383.10$$ - Pay for 3 hours night shift = $$383.10 \times 3 = 1149.30$$ 6. **Total gross pay for the week:** - Regular weekly pay = $$\frac{26000}{4} = 6500$$ (approximate 4 weeks per month) - Total adjustments = $$369.32 + 1149.30 = 1518.62$$ - Total gross pay = $$6500 + 1518.62 = 8018.62$$ **Final answers:** - Monthly salary = 26000 - Daily rate = 1181.82 - Hourly rate = 147.73 - Overtime pay (2 hours) = 369.32 - Night shift pay (3 hours rest day) = 1149.30 - Total gross pay for the week = 8018.62