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bonufazy [111]
2 years ago
11

An airline finds that if it prices a cross-country ticket at $300, it will sell 400 tickets per day. It estimates that each $10

price reduction will result in 50 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue.

Mathematics
1 answer:
lions [1.4K]2 years ago
3 0

Answer:

price = $190

quantity =  950 tickets

Step-by-step explanation:

revenue = price * quantity

n = number of $10 price reductions

price = 300 - 10n

quantity =  400 + 50n

r = (300 - 10n)(400 + 50n)

recognize these as the factors of a quadratic that opens down

the vertex will therefor be the maximum revenue

the roots are:

300 - 10n = 0

300 = 10n

n = 30

400 + 50n = 0

50n = -400

n = -8

vertex is at mid point of the roots

n = (-8 + 30)/2

n = 11

price = 300 - 10n

price = 300 - 10(11)

price = 190

quantity =  400 + 50n

quantity =  400 + 50(11)

quantity =  950

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hodyreva [135]

Answer:

x ≈ 11.7

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos26° = \frac{adjacent}{hypotenuse} = \frac{x}{13} ( multiply both sides by 13 )

13 × cos26° = x , then

x ≈ 11.7 ( to the nearest tenth )

4 0
2 years ago
The sum of 5 consecutive odd numbers is 135 what is the second number in this sequence
hoa [83]

Step-by-step explanation:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 135

5·x + 20 = 135

5·x = 115

x = 23

So the sequence is

23, 25, 27, 29, 31

The second number is 25.

Do you agree?

6 0
3 years ago
What is the volume of the triangular prism below?<br> 7 yd<br> 18 yd<br> 12 yd
Citrus2011 [14]

Step-by-step explanation:

V = 1/2 a x c x h

1/2 * 7*12*18 = 756 yd ^3

7 0
3 years ago
Please help need to know the answer to this supposedly is 9 + (9x36) 333 but I don’t get it
Ahat [919]

Answer:

459

Step-by-step explanation:

First line:

clock showing 9 o'clock + clock showing 9 o'clock + clock showing 3 o'clock = 9 + 9 + 3 = 21

Second line:

The calculators look exactly the same.

3 * calculators = 30

1 calculator = 10

Third line:

1 bulb + 1 bulb - 1 bulb = 15

Since 1 bulb - 1 bulb = 0, we have 1 bulb + 0 = 15, or

1 bulb = 15

Last line:

Clock showing 9 o'clock = 9

Calculator = 10

3 bulbs = 3 * 15 = 45

Total = 9 + 10 * 45 = 9 + 450 = 459

7 0
3 years ago
(pls help quick and explain how you got the answers for brainliest)
scoray [572]

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

7 0
2 years ago
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