QuestionAugust 25, 2025

You are paid 1.2 times your normal hourly rate for each hour you work over 30 hours in a week You work 32 hours this week and earn 513.54 . What is your normal hourly rate? Hourly rate: square

You are paid 1.2 times your normal hourly rate for each hour you work over 30 hours in a week You work 32 hours this week and earn 513.54 . What is your normal hourly rate? Hourly rate: square
You are paid 1.2 times your normal hourly rate for each hour you work over 30 hours in a week You work 32 hours this week and earn 513.54 . What is your normal hourly rate? Hourly rate: square

Solution
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Answer

\15.85 Explanation 1. Calculate Overtime Hours You worked 32 hours, so overtime hours = 32 - 30 = 2 hours. 2. Define Earnings Equation Total earnings = (Normal hourly rate \times 30) + (1.2 \times Normal hourly rate \times Overtime hours). 3. Set Up Equation Let x be the normal hourly rate. Then: 513.54 = 30x + 1.2 \times x \times 2. 4. Simplify and Solve for x 513.54 = 30x + 2.4x = 32.4x. x = \frac{513.54}{32.4}. 5. Calculate Normal Hourly Rate x = 15.85.

Explanation

1. Calculate Overtime Hours<br /> You worked 32 hours, so overtime hours = 32 - 30 = 2 hours.<br /><br />2. Define Earnings Equation<br /> Total earnings = (Normal hourly rate $\times$ 30) + (1.2 $\times$ Normal hourly rate $\times$ Overtime hours).<br /><br />3. Set Up Equation<br /> Let $x$ be the normal hourly rate. Then:<br /> $513.54 = 30x + 1.2 \times x \times 2$.<br /><br />4. Simplify and Solve for $x$<br /> $513.54 = 30x + 2.4x = 32.4x$.<br /> $x = \frac{513.54}{32.4}$.<br /><br />5. Calculate Normal Hourly Rate<br /> $x = 15.85$.
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