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3 years ago

I need work shown please

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

See the attached picture showing the work:

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Calculate the Social Security and Medicare tax that would be applied to an annual salary of $35,400,

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Answer:

the answer is A)Social Security tax: $2,194.80, Medicare tax: $513.30

Step-by-step explanation:

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3 years ago

−k+2(−2k−5) simplified

zavuch27 [327]

Step-by-step explanation:

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3 years ago

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Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)

Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then y = 0

From this we can get 2 points on the curve, namely, (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes: y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B (divide both sides by 4)

0 = 4A + B

B = -4A ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B (divide both sides by 2)

-1 = 2A + B (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0

3 years ago

After a storm damages the community center, Shanika and her friends hold fundraising

Inessa [10]

Answer:

The total amount of money Shanika and her friends want to raise is $2400.

Step-by-step explanation:

Given:

After a storm damages the community center, Shanika and her friends hold fundraising.

After the first event, they raise $240, which is 10% of the total amount that they want to raise.

Now, to find the total amount of money that Shanika and her friends want to raise.

Let the total amount of money that Shanika and her friends want to raise be $x$ .

As given 10% of fundraise is $240.

So, according to question:

$10\%\ of\ x=\$240.$

$\frac{10}{100}\times x=240$

$\frac{10x}{100}=240.$

Multiplying both sides by 100 we get:

$10x=24000.$

Dividing both sides by 10 we get:

$x=\$2400.$

Therefore, the total amount of money Shanika and her friends want to raise is $2400.

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3 years ago

The surface area of a cube is 864 in.2. Find the volume of the cube

Sveta_85 [38]

As the cube has 6 faces the area of one face will be 864 / 6 = 144 in^2

so each edge = 12 in

Volume of cube = 12^3 = 1728 in^3

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3 years ago