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vlada-n [284]
3 years ago
10

Last year, 350 people come to see a spring concert at REL. The cost per ticket was $5.00. The orchestra committee wants to incre

ase ticket prices but it is estimated that for each increase in $0.25, 10 fewer people will attend the concert. What should the committee set the ticket price to maximize ticket sales.
Mathematics
2 answers:
Anit [1.1K]3 years ago
6 0
Let 0.25x is the price increase. Therefore, the number of attendees will be 350-10x and the revenue R=(350-10x)*(5+0.25x)=1750+37.5x-2.5x^2. This parabola has maximum at x=10, meaning the price=7.5
wlad13 [49]3 years ago
5 0

Answer:

max: 10   price: 7.5

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Solve this equation by completing the square: x2 + 4x – 13 = –8
marishachu [46]

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x  = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²)  = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

x+2 = + 3 or x + 2 = -3

Thus, x = 1 or -5

The solution of the equation is x = 1 or x = -5

6 0
3 years ago
How many solutions are there to the equation below?
romanna [79]

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5 0
3 years ago
5 less than the difference of a number f and 35
Fiesta28 [93]

Answer:

See below.

Step-by-step explanation:

There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.

(f-35)-5=f-35-5

=f-40

OR

(35-f)-5=35-f-5

=30-f

3 0
3 years ago
Can someone help me pls
Crank

Answer:

figure it out

Step-by-step explanation:

yeeeeet

7 0
2 years ago
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