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djyliett [7]
3 years ago
14

Jesse worked forty hours this past week assuming he makes $12 an hour how much was withheld from his paycheck by his employer fo

r FICA if FICA withholdings were 7.65%?
Mathematics
2 answers:
SOVA2 [1]3 years ago
7 0

Answer:

The answer is explained below.

Step-by-step explanation:

It is necessary to point out some important information:

If Jesse worked 40 hours last week and he earns $12 an hour, it's necessary to perform the following multiplication:

40*12=480 dollars, gross.

To find the amount of money FICA withheld through the employer, we should remember that the amount was 7.65%.

So, to find the amount of money:

480*.0765=36.72 dollars, so Jesse will receive 443.28 dollars.

Alecsey [184]3 years ago
6 0
He made 12*40=480 dollars in total. 0.0765*480=36.72 dollars were withheld.
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vertex = (0, -4)

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Step-by-step explanation:

Given:

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  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

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