Bill is paid bi-weekly and has a gross pay of $1500 for each pay period. He pays Social Security at a rate of 6.2%, Medicare at a rate of 1.45%, and pays combined taxes of 16.2%. What will be his net paycheck be if those are the only deductions?
Group of answer choices

$1142.25

$1360.95

$1210.15

$139.05

$1,142.25

Step-by-step explanation:

Gross = $1500

Deductions = 6.2% + 1.45% + 16.2% = 23.85%

100% - 23.85% = 76.15%

100% = 1500

76.15$ = x

By cross multiplication

100x = 1500 * 76.15

x = $1,142.25

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1