Estimate the answer to:​

The function that gives the amount of profit at a given price and number

given are obtained from the relationship between the variables.

a) The profit in terms of the number of tickets sold, P = -0.015·n² + 250·n

(b) The profit in terms of ticket price, is P = -66.[tex]\overline 6[/tex]·p² + 3000·p + 2,333,333.[tex]\overline 3[/tex]

Reasons:

Number of tickets sold at x = $200, is y = 10,000 tickets

Number of extra tickets sold for every $15 price reduction = 1,000 tickets

Number of tickets sold at $185 = 11,000

The cost to fly a person = $100

(a) The rate of change, [tex]\frac{\Delta y}{\Delta x}[/tex], of the number of ticket sold wit price is given as

follows;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{11,000 - 10,000}{185 - 200 } = -66. \overline 6[/tex]

The equation in slope and intercept form is therefore;

n - 11,000 = -66.[tex]\overline 6[/tex]·(p - 185)

n = -66.[tex]\overline 6[/tex]·p + 12,333.[tex]\overline 3[/tex] + 11,000 =  -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]

Number of tickets sold, n = -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]

[tex]Price \ per \ ticket, \ p = \dfrac{23,333.\overline {3} - n}{66. \overline{6}}[/tex]

The revenue, R = n·x

Therefore;

[tex]R = \dfrac{23,333.\overline {3} \cdot n- n^2}{66. \overline{6}}[/tex]

The profit = Revenue - Cost

The cost = 100·n

[tex]Profit, P = \dfrac{23,333.\overline {3} \cdot n- n^2}{66. \overline{6}} - 100 \cdot n = -0.015 \cdot n^2 + 250 \cdot n[/tex]

(b) The total profit, P, in terms of the price p, for one ticket

Number of tickets sold, n = -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]

The revenue, R = n·p

∴ R = -66.[tex]\overline 6[/tex]·p² + 23,333.[tex]\overline 3[/tex]·p

Cost = 100·n

∴ Cost = 100·(-66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex])

Therefore, the profit is given as follows;

Profit = -66.[tex]\overline 6[/tex]·p² + 23,333.[tex]\overline 3[/tex]·p - (100·(-66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]))

Therefore;

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We want to express the total profit in two different ways.

The answers are:

a) P(n) = n*[n - 23,333.3]*(-15/1,000) - n*100

b) P(p) =  n(p)*p - n(p)*100 = [ (-1,000/15)*p + 23,333.3]*(p - 100)

The given information is:

a) We want to get the profit in terms of the number n of tickets sold.

The number of tickets sold depends on the price, we know that it is a linear relation like:

n(p) = a*p + b

where p is the price.

we know that:

n(200) = 10,000

n(185) = 11,000

If this is a linear relation, the slope is known:

a = -1,000/15$

Then the line is something like:

n(p) =  (-1,000/15)*p + b

We know that if k = 200, then n = 10,000

Replacing that we have:

n(200) = 10,000 =  (-1,000/15)*200 + b

               10,000 + (1,000/15)*200 = b = 23,333.3

Then the number of tickets sold as a function of the price is:

n(p) =  (-1,000/15)*p + 23,333.3

Then the revenue is given by the number of tickets sold times the price, this is:

r(n) = n*p

We can write k in terms of n as:

k = [n - 23,333.3]*(-15/1,000)

Then the revenue as a function of the number of tickets sold is:

r(n) = n*[n - 23,333.3]*(-15/1,000)

The profit is the difference between the revenue and the cost, then the profit function is:

P(n) = n*[n - 23,333.3]*(-15/1,000) - n*100

Where n*100 is the cost.

b) now we want to write the same equation, but this time as a function of the price.

now the revenue is:

r(p) = n*p = [ (-1,000/15)*p + 23,333.3]*p

Then the profit is:

P(p) =  n(p)*p - n(p)*100 = [ (-1,000/15)*p + 23,333.3]*(p - 100)

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Answer:

100 cm^3

Step-by-step explanation:

Volume = 10x5x2 = 100

Answer:

100cm3

Step-by-step explanation:

To calculate the volume you have to to 2x5x10=10x10=100

Pls rate brainliest!

Answer:

48.30

Step-by-step explanation:

42(1.15) = 48.30

Answer:

12/5

Step-by-step explanation:

tan(G) = opposite side ÷ adjacent side

⇒ tan(G) = 24/10 = 12/5

Answer:

0.11111111111

Reason :

When you divided 5 by 45, you get 0.11111111111

Answer:

37

Step-by-step explanation:

Expand the equation

3 x (18 - 3) + 4 x (5 - 7)

Use BODMAS

First find the sum of brackets

18 - 3 = 15

3 x 15 = 45

then

5 - 7 = -2

-8

so

45 + - 8 = 37

BODMAS

B - Brackets

O - Power

D - Divison

M - Multiplication

A - Addition

S - Subtraction

Hope this helped you

:-)

Answer:

first one is 90

second one is 108

Step-by-step explanation:

Answer:

(-4,-3)

Step-by-step explanation:

Not sure if tht was what you were asking, but that's how u write it as a point or vertex

Considering the volume of the rectangular prism, it is found that it's height is of 4.5 ft.

The volume of a rectangular prism of length l, width w and height h is given by:

[tex]V = lwh[/tex]

In this problem, the measures given are as follows:

l = 13 ft, w = 16 ft, V = 936 ft³.

Hence, the height, in ft, is found as follows:

[tex]V = lwh[/tex]

[tex]13 \times 16 \times h = 936[/tex]

[tex]h = \frac{936}{13 \times 16}[/tex]

[tex]h = 4.5[/tex]

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Answer:

g(x) = 3|x - 2| - 4

Step-by-step explanation:

f(x) = |x|

vertex: (0, 0) → (2, -4)

point: (1, 1) → (3, -1)

⇒ g(x) = 3f(x - 2) - 4

⇒ g(x) = 3|x - 2| - 4

Answer:

DC⊥EF as the 2 angles in smallest triangle are 30 and 60 degrees, so the last one is 90 making Line DC perpendicular to Line EF.

Step-by-step explanation:

DC⊥EF means that Line DC is perpendicular (90 degrees) to EF.

To prove this, we can use the two angles of the small triangle created by the intersection of the triangles AEF and DCB.

The remaining angle of triangle AEF is 60, as all angles of triangles add up to 180 (so 180 - 12 = 60). This angle at F is shared with the little triangle.

Now we will get the angle at D using the triangle DCB. Since we are given two angles 90 and 60, angle D has to be 30.

So of our little triangle, we have angles 30 and 60, meaning the last one is 90 degrees and hence, DC⊥EF

Step-by-step explanation:

x²=17²+28²-2.17.28.cos114

x²=1073-952.cos114

x²=685,7867158

x=26 (≈26,18752978)

Answer:

k divided by three plus sixteen

Step-by-step explanation:

9514 1404 393

Answer:

  each equation can be transformed to the other

Step-by-step explanation:

Starting with the given equation, we can subtract 4, then multiply by 2:

  x + 5 = 15

  x + 5 - 4 = 15 - 4

  x + 1 = 11

  2(x + 1) = 2(11)

  2(x +1) = 22 . . . an equivalent equation

The properties of equality allow one equation to be transformed into the other.

Answer:

7 lawns

Step-by-step explanation:

90 - 20 = 70

70 / 10 = 7

7 lawns will need to be mowed to save at least $90

Answer:

x=−7/8

Step-by-step explanation:

Answer:

Given the equation 2y-40=-18 to simplify the equation further we need to first add 40 to both sides of the equation thereby justifying the addition property as shown;

2y-40 + 40 =-18+40

2y = 40-18

2y = 22

We will also apply the division property here. Division property is used when both sides of an equation is divided by a number without affecting the equality rule.

Dividing the resulting equation by 2:

2y/2 = 22/2

y = 11

Step-by-step explanation:

Answer:

1.=872.00

2.=3782.48

3.=121.84

5.=486.00

7.=9248.85

8.=121.50

Step-by-step explanation:

i tried my best hope this helps

The Surface Area of Prisms are shown below.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.

We have,

1. Surface area of cuboid

= 2(lw+ wh + lh)

= 2(144 + 204 + 96)

= 888 in²

2. Surface Area of Cylinder

= 2πrh

= 2,549.68 mm²

3. SA of Triangular prism

= 2 bh + (a+ b+ c)H

= 154.337 cm²

4. SA of Trapezoidal prism

= (b1 + b2)h + PH

= (5+ 19)12.1 + (8+ 19+ 8 + 19)14

= 290.4 + 756

= 1,046.4 ft²

5. SA of Cuboid

= 324 m²

6. SA of Triangular prism

= 1274.86 yd²

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Answer:

red: 20

yellow: 50

blue:10

Step-by-step explanation:

find number of chocolate in one box

240÷3=80

add the ratiios

2+5+1=8

divide the number of chocolate in one box by the sum of the ratio

80÷8=10

multiply the quotient by each of the quatities in the ratio

red:2x10=20

yellow:5x10=50

blue:1x10=10

Answer:

Try 6.5

Step-by-step explanation:

Maybe that might work out

Answer:

I would say C.)

Answer:

B No correlation

Step-by-step explanation:

Positive correlation = as x increases, y increases

Negative correlation = as x increases , y decreases

Constant correlation = as x increases, y stays the same

Answer:

Step-by-step explanation:

[tex]\frac{1}{5^{12} } \frac{1}{32^{3} } \frac{1}{9^{15} } \\[/tex]

Answer:

bust stop #2 6.5 minutes

Step-by-step explanation:

Answer:

bust stop #2 6.5 minutes

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

I had the same exact question on a test I took

it’s something like this I think

The amount of interest Caitlyn will be charged after the first month is $1.875.

Annual percentage rate(APR) of the credit card = 18%

The monthly percentage rate will be 1/12th of APR.

The Amount charged in the first month =$375

Amount paid in billing cycle = $250

So, the amount on which interest will be levied = $375 - $250 = $125

The interest levied on $125 = 125* (18/12)* (1/100)

The interest levied on $125 = $1.875

Therefore, the amount of interest Caitlyn will be charged after the first month is $1.875.

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Answer:

Step-by-step explanation:

6 months=26 weeks

=>26x18=468