Respuesta :
a) You know that she works 40 hours per week.
You know that there are 365 days in a year and there are 7 days in a week. Then, the number of hours she regularly work per year, can be found as following:
[tex]\begin{gathered} \frac{40}{7}=\frac{x}{365} \\ \\ \end{gathered}[/tex]Where "x" is the number of hours she regularly work per year.
Solving for "x", you get:
[tex]\begin{gathered} (365)(\frac{40}{7})=x \\ \\ x=2,085.71 \end{gathered}[/tex]Debra's regularly hour wage is $8.50 and, then, multiply the value of "x" by $8.50 in order to calculate her annual salary (in dollars):
[tex](2,085.71)(8.50dollars)\approx17,728.54dollars[/tex]b) If she works 50 weeks per year, you can set up the following proportion to find "x":
[tex]\frac{50}{7}=\frac{x}{365}[/tex]Solving for "x", you get:
[tex]\begin{gathered} (365)(\frac{50}{7})=x \\ \\ x\approx2,607.14 \end{gathered}[/tex]Multiply the value of "x" by $8.50 in order to calculate her annual salary (in dollars):
[tex](2,607.14)(8.50dollars)\approx22,160.69dollars[/tex]The answers are:
a) $17,728.54
b) $22,160.69
