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jekas [21]
3 years ago
9

Consumer Math

Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

Correct answer is B.

Step-by-step explanation:

Amount deducted for social security = 6.2 % annually

Amount deducted for medicare tax = 1.45 % annually

Total deduction = 6.2 +1 .45 = 7.65 %

Tax on given amount = 7.65 * 37890 = 2898.59

Therefore amount deducted annually will be $2898.59/-

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Attendances at a high school's basketball games were recorded and found to have a sample mean and variance of 470 and 16, respec
yanalaym [24]

Answer:

for the second question u have asked

Step-by-step explanation:

5 0
2 years ago
Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p
zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

8 0
3 years ago
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A number consists of two digit whose sum is five
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Answer:

23

Step-by-step explanation:

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3 years ago
Mike began with $20 in savings and increased his savings by $10 every month. Lindsay began with $5 in savings and doubled her sa
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Answer:

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What does the word distribute mean to you?
Nadusha1986 [10]

In real life when I hear the word distribute, I know that it means that something is being handed out. In business, there is something called a distributor and they hand out stuff from the company that you buy it from. In mathematics, it means that you're giving another number something from another number.

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