If you make $450 a month but 15% is held out of each paycheck for Social Security and taxes how much do bring home?

Mathematics

1 answer:

aksik [14]3 years ago

3 0

To solve this question make an equation

450 x 0.15 = X

0.15 = the percentage taken out of the paycheck

67.5 = Social Security Taxes

450 - 67.5

= $382.5

Or the easier way if you want it straight away

450 x 0.85 = $382.5

0.85 = percentage taken home

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The area of a square is 100. The length of its diagonal is approximately:

mr_godi [17]

Answer:

10 $\sqrt{2\\} \\$ or 14.14 appromiximately

Step-by-step explanation:

Area of square = 100

So length on side = 10 because all sides of square equal.

Length of Diagonal = Side x $\sqrt{2}$

So the length of diagonal is 14.14 approximately

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2 years ago

Determine g(x + a) – g(x) for the following function.<br> g(x) = 5x2 + 2x

dusya [7]

Answer:

$g(x + a) - g(x) = 10ax + 5a^2 + 2a$

Step-by-step explanation:

We are given the function:

$g(x) = 5x^2 + 2x$

And we want to determine:

$\displaystyle g(x+a) - g(x)$

Substitute:

$\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \end{aligned}$

And simplify:

$\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \\ \\ &= \left(5(x^2 + 2ax + a^2) + (2x + 2a) \right) + \left(-5x^2 - 2x\right) \\ \\ &= \left((5x^2 + 10ax + 5a^2) + (2x + 2a)\right) + \left(-5x^2 - 2x\right) \\ \\ &= (5x^2-5x^2) + (10ax + 2x - 2x) + (5a^2+2a) \\ \\ &= 10ax + 5a^2 + 2a \end{aligned}$