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1. A company has 24,000 employees. \( 40 \% \) work in the IT department, and of those, \( \% \) are software engineers. Each software engineer gets a \( 12 \% \) salary bonus at the end of the year. (a) How many employees are software engineers? - (b) If each software engineer earns an average of \( \$ 90,000 \) per year, how much total bonus money is paid?

Ask by Boone Gough. in Australia
Mar 14,2025

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Số nhân viên kỹ sư phần mềm là \( 96x \) người. Nếu \( x = 50\% \), thì có \( 4800 \) kỹ sư phần mềm. Tổng tiền thưởng chi trả là \( 1036800x \) đô la. Nếu \( x = 50\% \), tổng tiền thưởng là \( \$51,\!840,\!000 \).

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To find the number of software engineers, we start by calculating how many employees work in the IT department. Since \( 40\% \) of 24,000 employees work in IT, that gives us \( 0.40 \times 24,000 = 9,600 \) IT employees. If \( x\% \) of these employees are software engineers, you would need to multiply the total number of IT employees by \( \frac{x}{100} \) to get the number of software engineers. (b) To calculate the total bonus money paid, we first find the number of software engineers (which is \( 9,600 \times \frac{x}{100} \)). Each software engineer receives a \( 12\% \) bonus on their salaries. With an average salary of \( \$ 90,000 \), the annual bonus per software engineer would be \( 90,000 \times 0.12 = \$ 10,800 \). Multiply this bonus by the total number of software engineers to determine the total bonus money paid. Feel free to plug in specific values for \( x \) to complete the calculations!

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