Given the pay rate and hours worked, determine the gross earnings, federal taxes (assuming 20% of gross earnings), state taxes (assuming 6% of gross earnings), social security deduction (assuming 6.45% of gross earnings), total deductions, and net pay.

Total deductions= 0.3245ab and Net pay= 0.6755ab

Step-by-step explanation:

Suppose, the pay rate= a dollar per hour

And hours worked= b hours

Gross earning= the pay rate x hours worked

Gross earning= ab

Deductions are:

Federal taxes= 20% of gross earnings= 20/100 x ab= 0.2ab dollars

State taxes= 6% of gross earning= 6/100 x ab= 0.06ab dollars

Social security deduction= 6.45% of gross earning= 6.45/100 x ab= 0.0645ab

So,

The total deduction= federal taxes + state taxes + social security deduction

The total deduction= 0.2ab + 0.06ab + 0.0645ab= 0.3245ab dollars

And  

Net pay= gross earning – total deduction

Net pay= ab – 0.3245ab= 0.6755ab dollars

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.