Step-by-step explanation: To determine the number of hours of overtime you would need to work per week to earn approximately the same amount as your current job, we can calculate the weekly earnings for both scenarios.
Let's break it down:
1. Current Job:
- Monthly gross salary: $3780
- Weekly gross salary: $3780 divided by 4 (assuming 4 weeks in a month) = $945
2. New Position:
- Hourly rate: $18.50
- Overtime rate: $18.50 + $1.50 = $20.00 (for all hours worked over 44 per week)
- To earn approximately the same amount as your current job, we need to find the number of regular hours and overtime hours required.
Let's assume x represents the number of regular hours per week:
- Regular earnings: $18.50 per hour multiplied by x hours
- Overtime earnings: $20.00 per hour multiplied by (x - 44) hours (overtime hours)
- Total weekly earnings: Regular earnings + Overtime earnings
Now, let's set up the equation to solve for x:
$945 = ($18.50 * x) + ($20.00 * (x - 44))
Simplifying the equation:
$945 = $18.50x + $20.00x - $880
$945 = $38.50x - $880
$38.50x = $1825
x = $1825 / $38.50
x ≈ 47.4
Therefore, to earn approximately the same amount as your current job, you would need to work approximately 47.4 regular hours per week in the new position.
Since we cannot have fractional hours, you would need to work either 47 or 48 regular hours per week, depending on the specific policy of your new job.