An electrician worked 42.50 hours on a wiring job. The electrician earns $35.50 per hour for the first 40 hours. Any time over 40 hours is paid at 1 1/2 times the hourly rate. How much did the electrician earn for this job before any withholding? Round to the nearest cent.
The electrician earns $35.50 for the first 40 hours, so they earn 40*$35.50 = $<<40*35.5=1420>>1420.00
The electrician worked 42.50 hours total, so they worked 42.50-40 = <<42.5-40=2.50>>2.50 hours at time and a half.
At time and a half, the electrician earns $35.50*1.5= <<35.50*1.5=53.25>>53.25 per hour.
For the 2.50 hours of overtime, the electrician earns $53.25*2.5 = <<53.25*2.5=133.125>>133.125.
In total, before any withholding, the electrician earned $1420+$133.13 = $<<1420+133.125=1553.13>>1553.13. Answer: \boxed{1553.13}.
To calculate the electrician's earnings for the wiring job, we can break it down into two parts: the pay for the first 40 hours and the pay for the additional hours.
First, let's calculate the pay for the first 40 hours:
Hourly rate for the first 40 hours = $35.50
Total pay for the first 40 hours = Hourly rate for the first 40 hours x number of hours (40)
= $35.50 x 40
Now, let's calculate the pay for the additional hours.
Hourly rate for additional hours = 1.5 x Hourly rate for the first 40 hours
= 1.5 x $35.50
Number of additional hours = Total hours worked - 40
= 42.50 - 40
Pay for additional hours = Hourly rate for additional hours x number of additional hours
= (1.5 x $35.50) x (42.50 - 40)
Next, we can calculate the total earnings for the job:
Total earnings = Pay for the first 40 hours + Pay for additional hours
After calculating the values, we round the final result to the nearest cent.
To calculate the electrician's earnings for the job, we need to consider two scenarios: the first 40 hours and the remaining hours after that.
1. Calculate the earnings for the first 40 hours:
- Number of hours worked: 40 hours
- Hourly rate: $35.50 per hour
- Earnings for the first 40 hours = Number of hours worked × Hourly rate = 40 hours × $35.50 per hour
2. Calculate the earnings for the remaining hours:
- Number of extra hours worked: Total hours worked - First 40 hours
- Extra hourly rate: 1 1/2 times the hourly rate = 1.5 × $35.50 per hour
- Earnings for the remaining hours = Number of extra hours × Extra hourly rate = (Total hours worked - 40 hours) × (1.5 × $35.50 per hour)
3. Total earnings for the job:
- Total earnings = Earnings for the first 40 hours + Earnings for the remaining hours
Let's perform the calculations step-by-step.
1. Earnings for the first 40 hours:
Earnings = 40 hours × $35.50 per hour
Earnings = $1420
2. Earnings for the remaining hours:
Number of extra hours worked = 42.50 hours - 40 hours = 2.50 hours
Extra hourly rate = 1.5 × $35.50 per hour
Earnings for the remaining hours = 2.50 hours × (1.5 × $35.50 per hour)
Earnings for the remaining hours = $133.75
3. Total earnings for the job:
Total earnings = $1420 + $133.75
Total earnings = $1553.75
Therefore, the electrician earned $1553.75 for this job before any withholding.