Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.
Let us calculate total deductions.
Federal income tax = 15% of 2396 = 0.15*2396 =$359.4
Social security tax = 6.2% of 2396=0.062*2396 =$148.552
Medicare tax = 1.45% of 2396= 0.0145*2396=$34.742
<u>health insurance premium =$95 </u>
Total deductions = $637.694
To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306
Remember that a reflexive relation , where is the power set of , is one which conteins the ordered pairs of the form , for .
So, As the reflexive and transitive closure of (that we will denote by ) is in particular reflexive, we must add to the elements
A transitive relation is one in which if the pair and the pair are in there, then the pair must be there too.
So, to complete the relation to be reflexive and transitive we must add the pair (because are in ), the pair , and the pair because we added the pair .