Need answer fast with all the steps included please

Answer:

[tex](a)[/tex] [tex]P(x) = 0.02x^2 +50x - 100[/tex]

[tex](b)[/tex] [tex]Average = 0.02x + 50 - \frac{100}{x}[/tex] and [tex]Marginal = 0.04x + 50[/tex]

[tex](c)[/tex] [tex]Average = 59.8[/tex] and [tex]Marginal = 70[/tex]

(d) See Explanation

Step-by-step explanation:

Given

[tex]p(x) = 100[/tex]

[tex]C(x) = -0.02x^2 +50x +100[/tex]

Solving (a) Profit function; P(x)

[tex]P(x) = xp(x) - C(x)[/tex]

This gives:

[tex]P(x) = x*100 - (-0.02x^2 + 50x + 100)[/tex]

[tex]P(x) = 100x + 0.02x^2 - 50x - 100[/tex]

Collect like terms

[tex]P(x) = 0.02x^2 - 50x +100x - 100[/tex]

[tex]P(x) = 0.02x^2 +50x - 100[/tex]

Solving (b): Average profit function and Marginal profit function

[tex]Average = \frac{P(x)}{x}[/tex]

This gives:

[tex]Average = \frac{0.02x^2 + 50x - 100}{x}[/tex]

Break down the fraction

[tex]Average = \frac{0.02x^2}{x} + \frac{50x}{x} - \frac{100}{x}[/tex]

[tex]Average = 0.02x + 50 - \frac{100}{x}[/tex]

[tex]Marginal = \frac{dP}{dx}[/tex]

[tex]P(x) = 0.02x^2 +50x - 100[/tex]

Differentiate

[tex]\frac{dP}{dx} = 2 * 0.02x + 50 - 0[/tex]

[tex]\frac{dP}{dx} = 0.04x + 50[/tex]

Hence:

[tex]Marginal = 0.04x + 50[/tex]

Solving (c): Average profit and Marginal profit if x = a

[tex]a = 500[/tex]

So:

[tex]x =500[/tex]

Substitute 500 for x

[tex]Average = 0.02x + 50 - \frac{100}{x}[/tex]

[tex]Average = 0.02 * 500 + 50 - \frac{100}{500}[/tex]

[tex]Average = 59.8[/tex]

[tex]Marginal = 0.04x + 50[/tex]

[tex]Marginal = 0.04*500 + 50[/tex]

[tex]Marginal = 70[/tex]

Solving (d): Interpret the values in (c)

[tex]Average = 59.8[/tex]

They make a profit of 59.8 for the first 500 items

[tex]Marginal = 70[/tex]

From the 501st item, the profit is 70

Answer:

Sin A = 22/33.3 ≈ 0.7

Step-by-step explanation:

Sin A = opp/hyp

Opp = 22

Adj = 25

Apply pythagorean theorem to find the hypotenuse length.

Thus:

Hyp = √(25² + 22²) ≈ 33.3

Therefore,

Sin A = 22/33.3 ≈ 0.7 (nearest tenth)

Answer:

Step-by-step explanation:

7C10 = 10!/(7!)(10-7)!

7C10 = 10!/(7!)(3!)

7C10 = (10 x 9 x 8 x 7)/(7 x 6 x 5)(6)

7C10 = (10 x 9 x 8)/6

7C10 = 720/6

7C10 = 120

Answer: 120 ways

Answer:

6. B

7. C

8. B

Step-by-step explanation:

Answer is:

6. B

7. C

8. B

Answer:

Step-by-step explanation:

how many shapes of size A are in B ?  

I counted 9.5

then just multiply the count * the size of A

got it?

Step-by-step explanation:

area of shape A = 3cm²

number of A shape in shape B = 9 and half

1 shape A = 3cm²

9 shape A = 3×9 = 27cm²

1 half shape A = 3 ÷ 2 = 1.5cm²

area of shape B = 27cm² + 1.5cm² = 28.5cm²

Answer and Step-by-step explanation:

Every episode is 20 minutes. The points would be:

Answer:

Step-by-step explanation:

Answer:

Is Mary a guy?  :|  

Step-by-step explanation:

I did this by just a good guess  , not really the right way

2000*.45=900  ( 900 is the old savings)

2000*.2 =400   ( how much her salary went down by )

2000-400=1600 ( new salary )

1600*.45 = 720    ( 45% of new salary is new savings

900-720=180      ( change in savings is 180 , the amount the question asks for)

Mary's old salary was 2,000

Answer: D.

Step-by-step explanation:

Factors of 8 are: 1 and 8, 2 and 4

Factors of 9 are: 1 and 9 and 3 (3x3=9)

Factors of 10 are: 1 and 10, 2 and 5

Factors of 11 are just 1 and 11

Answer:

D. The only factors of 11 and 1 are 11.

Step-by-step explanation:

Factors are the numbers you multiply together to get another number.

1, 2, 4 and 8 are factors of 8.

1, 3, and 9 are factors of 9.

1, 2, 5, and 10 are factors of 10.

11 is the only number of the four that has only two factors: 1 and 11

I would appreciate brainliest, if not that's ok!

Answer:

A = 54.11 unit²

Step-by-step explanation:

Given that :

A = θ/360 * πr²

A = 62/360 * π(10)²

A = 0.1722222 * π * 100

A = 54.105206

A = 54.11 unit²

Answer:

i. Length : breadth = 3 : 200

ii. Breadth : length = 200 : 3

Step-by-step explanation:

Given the following data;

Length = 12cm

Breadth = 8m to centimeters = 8 * 100 = 800 centimeters.

To find the following;

a. Length to breadth ratio.

Length : breadth = 12 : 800

We would divide both sides by 4

Length : breadth = 3 : 200

b. Breadth to length.

Breadth : length = 800 : 12

We would divide both sides by 4

Breadth : length = 200 : 3

Note: In order to find a ratio, we must ensure that the units of the given parameters (quantities) are the same.

Answer:

The Answer is 8

Step-by-step explanation:

2*2*2

Answer:

58

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

180-85-37 = 58

Answer:

125 boxes

Step-by-step explanation:

6,000/48 = 125

Answer:

84.41 miles

Step-by-step explanation:

For this one, all you have to do is set up a proportion. You can do that by setting it as (39.25/x)=(46.5/100). You cross multiply to get 39.25(100)=46.5(x). From there, you simplify to get 3,925=46.5x. Divide both sides by 46.5 to get x alone, and you should get your answer, 84.41.

Answer:

A. Inscribed Angle

Step-by-step explanation:

Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!

The missing information in the paragraph proof should be considered as the Inscribed Angle.

In terms of geometry, an inscribed angle should be the angle that should be created in the interior of a circle at the time when two chords intersect on the circle. Since the angles should be inscribed in the circle so here the angles should be added up to the 360 degrees same as like the circle also at the same time it should make the quadrilateral

Therefore, The missing information in the paragraph proof should be considered as the Inscribed Angle.

Learn more about an angle here: https://brainly.com/question/21103473

Answer:

x=3000

Step-by-step explanation:

870=29/100x

x=3000

Answer:

pos,neg, pos

Step-by-step explanation:

Answer:

First blank, x>0 and y>0, second blank, positive, third blank, positive

Step-by-step explanation:

There is no such thing as a negative amount of items, so both x and y must be greater than 0. Therefore, both must be positive.

Answer:

The ratio of texts sent to calls made was 8:5

For every 5 calls made there were 8 texts sent

Answer:

For every 8 calls made there were 2 texts sent.

And

For every 2 texts sent there were 8 calls made.

Answer:

its 119

Step-by-step explanation:

Answer: it’s 3.5

Step-by-step explanation:

is (24, 7, 25) a Pythagorean triple?

Step-by-step explanation:

No

Answer:

Let get x as a number of small circles.

Area of big circle = Area of all small circles

(Here . implies multiplication)

22/7 . 35 cm .35cm = 22/7 . 7cm .7cm .x

x =  (22/7 . 35 cm .35cm) / (22/7 . 7 cm .7cm)

x = (35 . 35) /(7.7)

x = 25

Step-by-step explanation:

Answer:

1) y = 5x + 100

2) y = -10x + 375

Step-by-step explanation:

The slope intercept form of an equation is expressed as y = mx+c

m is the slope

c is the intercept

1) Using the coordinate points (0,100) and (1, 105)

slope m  = 105-100/1-0

m = 5/1

m = 5

Substitute m = 5 and (0,100) into the formula y = mx+c

100 = 5(0)+c

100 = 0 + c

c = 100

The required equation is y = 5x + 100

2) Using the coordinate points (0,375) and (5 325)

slope m  = 325-375/5-0

m = -50/5

m = -10

Substitute m = -10 and (0,375) into the formula y = mx+c

375 = -10(0)+c

375 = 0 + c

c = 375

The required equation is y = -10x + 375

Answer:

your answer will be a= 23.2

Step-by-step explanation:

hope this helps u have a great day ^_^

Answer:

A= 23.2

Step-by-step explanation:

[tex]a^2=b^2+c^2-2bc CosA[/tex]

[tex]a^2=11^2+19^2-2(11)(19)Cos 98[/tex]

[tex]a^2=121+361-418cos98[/tex]

[tex]a^2=121+361-(-58.17)[/tex]

[tex]\sqrt{a^2} =\sqrt{540.17}[/tex]

[tex]a=23.2[/tex]

[tex]-----------[/tex]

hope it helps..

have a great day!!

Answer:

Yes

Step-by-step explanation:

yes, yes it does

Answer:

40  miles

Step-by-step explanation:

10 miles per hour × 4 hours = 40 miles.

Answer:

40,779

Step-by-step explanation:

i took the k12 test

Answer:

yes , 27/36=3*9/4*9=3/4 both the number 27 and 36 can be multiplied by 9 and can be reduced to its lowest form i.e.