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3 years ago

I need an explanation on how to work this out

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

Answer:

make 360×each number given/15 students to start drawing

360×7/15=168°

360×5/15=120°

360×2/15=48°

360×1/15=24°

now draw each one from the radius give to the clockwise

if you don't know what's clockwise direction, see it from your house or tell anybody in your home to tell you where is clockwise

after you finish drawing, label each section by writing the names on the correct sections ( you can write in or out of the circle)

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The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per

Mekhanik [1.2K]

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

$109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\$

Using quadratic formula, we can solve this equation as:

$\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\ x=-5850, x=850$

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

8 0

3 years ago

A commercial airplane is flying at an elevation of 15,000 feet and ascends to an elevation of 20000 feet at a rate of 1250 feet

Ksju [112]

Answer:

4 minutes

Step-by-step explanation:

Put it into an equation

20000 = 1250x + 15000

Subtract 15000 from both sides

5000 = 1250x

Divide both sides by 1250

4 = x

6 0

2 years ago

Please answer this correctly

Andreyy89

Answer: 1-20=2 and 60-80=4

Step-by-step explanation:

the first is 2 number of building

and the third one is 4 number of buldings

Hope this helps :)

7 0

3 years ago

Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion o

KengaRu [80]

Answer:

the area of the space he can cover with carpet = 16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet = A+B+C+D

the area of the space he can cover with carpet = 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards²

the area of the space he can cover with carpet = 16x⁴ yards²

6 0

2 years ago

Which of the following statements is true?

boyakko [2]

Answer:

B) Aluminum and steel are good conductors of electricity.

Step-by-step explanation:

5 0

2 years ago