Manuel gets paid $563.50 for working 46 hours in a week.
Given that,
Manuel job pays $11.50 per hour for a 40-hour work week
1 hour = $ 11.50
Then for 40 hour work,
40 hour = $ 11.50 x 40 = $ 460
So he earns $460 for the 40 hour work in week
Manuel works over forty hours, he earns [tex]1\frac{1}{2}[/tex] times his hourly pay for each extra hour worked
To find: Amount earned by Manuel if he works 46 hours in 1 week
For first 40 hours, he will get $ 460
Calculate for remaining 6 hours (46 - 40 = 6 hours )
He earns [tex]1\frac{1}{2}[/tex] times his hourly pay for each extra hour worked
We know that,
1 hour = $ 11.50
Amount earned for extra 6 hours = [tex]6 \times 1\frac{1}{2} \times 11.50 = 6 \times \frac{3}{2} \times 11.50 \\\\[/tex]
[tex]\rightarrow 6 \times 17.25 = 103.5[/tex]
Thus he earned $ 103.5 for 6 hours
Total amount earned = amount earned for first 40 hours + amount earned for 6 hours
Total amount earned = $ 460 + $ 103.5 = 563.5
So he gets paid $563.50 for working 46 hours in a week.