Directions: Read the scenario below and calculate what Marcus' pay is after deductions are

subtracted from his gross pay.

Marcus' Story

Marcus works at a mall kiosk earning $10 an hour. During his last pay period, he worked a total

of 40 hours. Below is the list of his deductions. Help Marcus calculate his net pay.

Show Your Math

Gross pay: $400.00

Deductions:

Social Security: $9.75

Medicare: $3.10

Withholdings:

Federal income Tax. $30.00

State Income Tax: $10.50

What is Marcus' net pay?

$346.65

Step-by-step explanation:

If Marcus worked a total of 40 hours, and he earns 10$ an hour, his payment before deductions is 400$, as put in the "gross pay".

We need to sum all the deductions:

9.75 + 3.10 + 30 + 10.5 = 53.35

Now, to know Marcus net pay, we just need to subtract his gross pay from this total deduction:

400 - 53.35 = 346.65

So, his net payment is $346.65

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.