Subjects algebra

Employee Rating

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1. **State the problem:** We need to calculate the overall rating of an employee based on weighted scores in three categories: Job knowledge (50%), Teamwork and loyalty (35%), and Leadership (15%). The scores are 80, 78, and 78 respectively. 2. **Formula used:** The overall rating is a weighted average calculated as: $$\text{Overall Rating} = (\text{Job Knowledge} \times 0.50) + (\text{Teamwork and Loyalty} \times 0.35) + (\text{Leadership} \times 0.15)$$ 3. **Calculate each weighted score:** - Job Knowledge contribution: $$80 \times 0.50 = 40$$ - Teamwork and Loyalty contribution: $$78 \times 0.35 = 27.3$$ - Leadership contribution: $$78 \times 0.15 = 11.7$$ 4. **Sum the weighted scores:** $$40 + 27.3 + 11.7 = 79$$ 5. **Round the result:** The overall rating is already at two decimal places as 79.00. **Final answer:** The employee's overall rating is **79.00**.