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Dovator [93]
3 years ago
12

At a price of per ticket, a musical theater group can fill every seat in the theater, which has a capacity of . For every additi

onal dollar charged, the number of people buying tickets decreases by . What ticket price maximizes revenue? Revenue is maximized when the price is
Mathematics
1 answer:
hoa [83]3 years ago
3 0

Answer:

The appropriate answer is "$12".

Step-by-step explanation:

As per the question,

Price per ticket,

= 4+k

Number of people,

= 1800-90k

Now,

The revenue (R) will be:

= Price \ per \ ticket\times Number \ of \ people

By putting the values, we get

= (4+k) (1800-9k)

= -90k^2+1440k+7200

or,

⇒ R'=1440-180k=0

⇒                     180k=1440

⇒                          k=\frac{1440}{180}

                               =8

hence,

The ticket price will be:

= 4+k

= 4+8

= 12 ($)

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mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
3 years ago
Mr. Black bought a television set for $450.00. He later sold the television set at a loss of 30%. (a) Calculate the amount of th
fgiga [73]

The amount of the loss exists 1350.

<h3>What is the amount of loss?</h3>

Amount of Loss means an amount equivalent to the outstanding balance of the principal amount, less any amounts recognized by perfecting rights under a security agreement, together with such interest as the executive director shall permit, to a maximum of such interest as may be permitted by rule.

Given: Mr. Black purchased a television set for $450.00. He subsequently sold the television set at a defeat of 30%.

From the given information, we get

$4500\cdot \frac{30}{100}

simplifying, we get

$4500\cdot \frac{30}{100}

= 1350

Therefore, the amount of the loss exists 1350.

To learn more about opportunity loss refer to:

brainly.com/question/19569042

#SPJ9

3 0
2 years ago
Which number can you add to get a sum of 0<br><br> A . -10<br> B. -5<br> C. 0<br> D. 5
Nikolay [14]
To figure this one out, my pre calculus teacher said to "plug and chug". Since you are adding each number to itself, A=-20, B=-10, C=0, and D=10. So your answer would be C.0
4 0
3 years ago
I need help with this math question :(
Ray Of Light [21]

Answer:

k = 5,

y = 5x

Step-by-step explanation:

If y is proportional to x,

y ∝ x

Then the equation will be

y = kx

Her k = proportionality constant.

Now we choose a point from the given table.

Let the point is (2, 10).

By putting the values of x and y in the equation,

10 = 2×k

k = \frac{10}{2}

k = 5

This will be true for any point we choose from the table.

And the equation will be y = 5x

8 0
3 years ago
There are 24 boys and 16 girls on the playground. What is the ratio of boys to total number of children on the playground?​
Reil [10]

Answer:

6 to 4

Step-by-step explanation:

24/4 = 6 Boys

16/4 = 4 Girls

Boys 6 / Girls 4

5 0
3 years ago
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