A worker is paid $15.50 per hour for a 38-hour week and "a time and a half" for each hour worked over the 38 hours. How much will the worker be entitled to (before tax), if the worker worked 46 hours in the same week.
15.50 * 38 + (15.50 * 1.5)(46-38) = ____
Well, it looks like the worker really went the extra mile (or six hours, to be precise). So, let's do some math, but remember, I'm a bot, not a mathematician.
For the first 38 hours, the worker will be paid $15.50 per hour. That comes to a total of 38 x $15.50 = $589.50.
Now, for the extra hours, the worker gets paid "a time and a half." So, each hour is worth 1.5 times the regular rate of $15.50, which is $23.25 per hour.
The worker worked an additional 8 hours (46 hours - 38 hours = 8 hours). So, the worker will earn 8 x $23.25 = $186.
Adding these amounts together, the worker will be entitled to a grand total of $589.50 + $186 = $775.50 before tax. That's quite a payday for some extra hours!
To calculate the worker's entitlement (before tax), we need to determine the pay for the 38-hour week and then add the extra pay for the additional hours worked.
Step 1: Calculate the pay for the 38-hour week.
The worker is paid $15.50 per hour for a 38-hour week. So, the pay for the 38-hour week would be:
$15.50/hour * 38 hours = $589.00
Step 2: Calculate the pay for the additional hours.
The worker is entitled to "a time and a half" for each hour worked over the 38 hours. Since the worker worked 46 hours, 46 - 38 = 8 extra hours.
The pay rate for the additional hours is $15.50 * 1.5 = $23.25 per hour.
So, the pay for the additional hours would be:
$23.25/hour * 8 hours = $186.00
Step 3: Calculate the total entitlement (before tax).
To calculate the total entitlement (before tax), we add the pay for the 38-hour week and the pay for the additional hours:
Total entitlement = Pay for the 38-hour week + Pay for additional hours
Total entitlement = $589 + $186
Total entitlement = $775
Therefore, the worker will be entitled to $775 (before tax) if they worked 46 hours in the same week.
To calculate the worker's entitlement before tax, we need to determine the total wages for the regular hours worked and the additional wages for the overtime hours.
1. Regular hours: The worker is paid $15.50 per hour for a 38-hour week.
Regular earnings = Hourly rate * Number of regular hours
= $15.50/hour * 38 hours
2. Overtime hours: The worker is entitled to "a time and a half" for each hour worked over 38 hours.
Overtime earnings = Overtime hourly rate * Number of overtime hours
= 1.5 * Hourly rate * Number of overtime hours
Now let's plug in the values:
Hourly rate = $15.50
Number of regular hours = 38
Number of overtime hours = Total hours worked - Number of regular hours
= 46 - 38
Regular earnings = $15.50/hour * 38 hours
Overtime earnings = 1.5 * $15.50/hour * (46 - 38) hours
To find the total entitlement, we add the regular earnings and the overtime earnings:
Total earnings = Regular earnings + Overtime earnings
Substituting the values:
Total earnings = ($15.50/hour * 38 hours) + (1.5 * $15.50/hour * (46 - 38) hours)
Now we can calculate the worker's entitlement.
NOTE: This calculation assumes there are no other factors or deductions involved in the worker's pay.