Chuck has a gross pay of $815.70. by how much will chuck’s gross pay be reduced if he has the following items withheld? federal tax of $56 social security tax that is 6.2% of his gross pay medicare tax that is 1.45% of his gross pay state tax that is 19% of his federal tax

Therefore the Chuck’s gross pay be reduced by  $129.07 and Chuck’s gross pay after reduced the tax is $686.63 .

Step-by-step explanation:

As given

Chuck has a gross pay of $815.70.

Federal tax =  $56

Social Security tax that is 6.2% of his gross pay .

6.2% is written in the decimal form.

= 0.062

Social Security tax = 0.062 × 815.70

                               = $ 50.6 (Approx)

Medicare tax that is 1.45% of his gross pay state tax .

= 0.0145

1.45% is written in the decimal form.

= 0.0145

Medicare tax = 0.0145 × 815.70

                     = $11.83 (Approx)

State tax that is 19% of his federal tax.

19% is written in the decimal form.

= 0.19

State tax = 0.19 ×  $56

              = $10.64

Chuck’s gross pay be reduced =  Federal tax +  Social Security tax + Medicare tax + State tax

Chuck’s gross pay be reduced =  $56 + $ 50.6 +  $11.83 + $10.64

                                                   = $129.07

Therefore the Chuck’s gross pay be reduced by  $129.07 .

Chuck’s gross pay after reduced the tax =  $815.70 -  $129.07

                                                                    = $686.63

Therefore the Chuck’s gross pay after reduced the tax is $686.63 .

g

step-by-step explanation:

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24