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

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form