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lesya [120]
3 years ago
11

In an upcoming race, the top 3 finishers will be recognized with the same award. There are 12 people entered in the race.

Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

Answer:

220

Step-by-step explanation:

Given,

The total number of people = 12,

Out of which, top 3 finishers will be recognized with the same award,

So, the total possible way = total combination of 3 people out of 12 people

=^{12}C_3

=\frac{12!}{3!(12-3)!}

=\frac{12\times 11\times 10\times 9!}{3\times 2\times 9!}

=\frac{1320}{6}

=220

Hence, there are 220 ways the top 3 racers can be grouped from the 12 people.

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gayaneshka [121]

Answer:

2

Step-by-step explanation:

there is 2:   3<u>  1  </u>

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3 0
3 years ago
Sonya wants to sew ribbon along each side of a square pillow.
Eduardwww [97]

We are given area of the ribbon = 144 square inches.

We know formula for side of a square = \sqrt{Area \ of \ a \ square }.

Plugging value of area in the formula, we get

Side of the square = \sqrt{144}

= 12 inches.

Sonya wants to sew ribbon along each side of a square pillow.

So, we need to find the perimeter of the square pillow.

<h3>Perimeter = 4 × side = 4 × 12 = 48 inches.</h3><h3>Therefore, she buy 48 inches of ribbon to have the exact amount that she needs.</h3>
5 0
3 years ago
The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
tensa zangetsu [6.8K]

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

3 0
3 years ago
What multiples to -63 and adds to two
ivolga24 [154]
That job can be handled by +9 and -7 working together.
4 0
3 years ago
Is k=4 a solution of 4 K + 7=7 k-1
MAVERICK [17]

Answer:

k=8/3

Step-by-step explanation:

Let's solve your equation step-by-step.

4k+7=7k−1

Step 1: Subtract 7k from both sides.

4k+7−7k=7k−1−7k

−3k+7=−1

Step 2: Subtract 7 from both sides.

−3k+7−7=−1−7

−3k=−8

Step 3: Divide both sides by -3.

−3k

−3

=

−8

−3

k=

8

3

7 0
3 years ago
Read 2 more answers
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