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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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Select all expressions equivalent to (4²) 2 x 4??
Bond [772]
4\2 2x=25 pls follow
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3 years ago
A photo of a beetle in a science book is increased to 705​% as large as the actual size. If the beetle is 14 ​millimeters, what
uranmaximum [27]

Answer:

11.27cm

Step-by-step explanation:

705% of 14milimeters

705/100 X 14 = 98.7

increase by adding 98.7milimeter to 14milimeter

98.7+14= 112.7milimeter or 11.27cm

3 0
3 years ago
If 3x - 8= -2, find the value of x - 6.
siniylev [52]

Answer:

x-6 = -4

Step-by-step explanation:

3x - 8= -2

Add 8 to each side

3x - 8+8= -2+8

3x = 6

Divide by 3

3x/3 = 6/2

x =2

We want to find x-6

2-6 = -4

4 0
3 years ago
Read 2 more answers
Graph the function y = |8 - 2x| + 3. Which is a point on the function? (6.2, 7.4) (7.8, 11.2) (8.6, 6.8) (9.6, 7.3)
Fiesta28 [93]
For this case we have the following function:
 y = | 8 - 2x | + 3

 The first thing you should do is graph the function to see the behavior.
 When observing the graph (in the attached image) we observe that the following point belongs to the graph:
 (6.2, 7.4)

 To prove it, let's evaluate the point in the function:
 7.4 = l 8 - 2 (6.2) l + 3

7.4 = l 8 - 12.4 l + 3

7.4 = l -4.4 l + 3

7.4 = 7.4
 The equation is fulfilled and therefore the point belongs to the graph.
 Answer:
 
(6.2, 7.4)
 
See attached image

8 0
3 years ago
In March, there will be two conferences: one for math and one for history. So far, 7 people have signed up for the math conferen
otez555 [7]

Answer:

After 4 days, the number of people attending both conferences be the same.      

Step-by-step explanation:

We are given the following in the question:

Maths conference:

Number of people already signed = 7

Number of people who sign up each day = 2

Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

 f(x) = 7+2x

History conference:

Number of people already signed =11

Number of people who sign up each day = 1

Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

 g(x) =11+x

Both conference will have same number of people when

f(x) = g(x)\\\Rightarrow 7 + 2x = 11+x\\\Rightarrow x = 4

Thus, after 4 days, the number of people attending both conferences be the same.

5 0
3 years ago
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