Answer:
The Number of hours that Tim worked last week is
[tex]=50\text{ hours}[/tex]The amount earned per hour is
[tex]=14.50[/tex]Thus, the amount earned per week without overtime will be
[tex]\begin{gathered} =14.50\times40 \\ =580 \end{gathered}[/tex]For overtime, he earns an additional half of the usual pay per hour.
Thus, the total he earns per hour with overtime is
[tex]\begin{gathered} =14.50+(\frac{14.50}{2}) \\ =14.50+7.25 \\ =21.75 \end{gathered}[/tex]The additional hours he worked as overtime is
[tex]\begin{gathered} =50-40 \\ =10\text{ hours} \end{gathered}[/tex]The amount he will earn plus overtime will be
[tex]\begin{gathered} =580+(21.75\times10) \\ =580+217.50 \\ =797.50 \end{gathered}[/tex]Hence,
His gross pay will be = $797.50
