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lord [1]
3 years ago
8

Marcus' employee benefits include family health care coverage. He contributes 25% of the cost. Marcus gets paid weekly and $102

is taken out of each paycheck for family healthcare coverage. How much does his employer contribute annually for coverage?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Monthly amount, M = $102×4 = $408.

Also, yearly amount, Y = M×12 = $408×12 = $4896

It is given that 25% of the cost is contributed by Marcus.

Amount Marcus paid

=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224

Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.

Hence, this is the required solution.

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ryzh [129]

Answer:

262 in^{3}

Step-by-step explanation:

the equation for volume of a sphere is : \frac{4}{3}\pirx^{3}

so replacing the number of the radius into the equation, it would look like:

\frac{4}{3}\pir5^{3}

which gives you 523.59878 in^{3}

but since it's a hemisphere, you'd divide it in half, which gives you 261.79939.

since you're rounding off to the nearest whole number, you're answer is 262 in^{3}

4 0
3 years ago
What polynomial expressions equal 8x^3+64?
Natali5045456 [20]

Answer:

\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}

Step-by-step explanation:

Use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] to figure this out:

\displaystyle 8x^3 + 64 \\ 8[x^3 + 8] \\ \\ x + 2 = \sqrt[3]{x^3 + 8}

Then, since the divisor\factor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

−2| 1 0 0 8

↓ −2 4 −8

___________

1 −2 4 0 → {x}^{2} - 2x + 4

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x³ + 8]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the −2x follows right behind it, then 4, giving you the other factor of x^2 - 2x + 4, attaching this to the first two factors you started out your work on:

\displaystyle \boxed{8[x + 2][x^2 - 2x + 4]}

I am joyous to assist you anytime.

6 0
3 years ago
The Cramer's Rule states that, in a system of equation in two unknowns, in which determinants D is not 0, X=_____and Y=_____.​
yan [13]

Answer:

Step-by-step explanation:

x=\frac{D_{1}}{D} \\y=\frac{D_{2}}{D}

5 0
3 years ago
Someone help me do this question step by step please? ASAP
boyakko [2]
The answer is 3 hope this helps pls thank me





7 0
3 years ago
If x=4 then what is x+x-x
qaws [65]
4 Is the answer since 4 is x 4+4 is 8 8-4 is 4 :)
6 0
4 years ago
Read 2 more answers
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