A concert organizer learned from a market survey that when the admission price is $30, there is an average attendance of 800 people. For every $1 drop in price, there is a gain of 20 customers. Each customer spends an average of $5 on concessions. The concert hall has 1,000 seats.

Answers

Answer 1

Answer:

[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]

Step-by-step explanation:

From the information given :

The objective is to find the demand function which is expressed in p, the price in dollars charged for each ticket, as a function of x, and the number of average attendance is:

Suppose the admission price P = D(x) = 30 and number of average attendant = x = 800 people

Then:

ΔP = -1

Δx = 20

[tex]\left \{ \dfrac{\Delta x}{\Delta P }= -20 }}\ \right.[/tex]

According to point line form :

[tex]\dfrac{\Delta x}{\Delta P }= -20[/tex] where the point is (30, 800)

x - 800 = -20 (P - 30)

x - 800 = -20P + 600

collect like terms

x + 20P = 800+ 600

x + 20P = 1400

x = 1400 - 20P

[tex]\mathsf{ P = 70 -\dfrac{ 1}{20}x}[/tex]

Thus, price in dollars for each ticket P = D(x) is:

[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]


Related Questions

help asap
show work
i will make u brainlest.

Answers

Answer:

1. A

2. D

3. A

4. A

Step-by-step explanation:

Question 1:

Switch sides:

5(5 + 4v) > 105

Divide both sides by 5:

5(5 + 4v) / 5 > 105/5

Simplify:

5 + 4v > 21

Subtract 5 from both sides:

5 + 4v - 5 > 21 - 5

Simplify:

4v > 16

Divide both sides by 4:

4v/4 > 16/4

Simplify:

v>4

Question 2:

Expand:

5m - 3m - 6 < 24 - 3m

Add similar elements:

2m - 6 < 24 - 3m

Add 6 to both sides:

2m - 6 + 6 < 24 - 3m + 6

Simplify:

2m < -3m +30

Add 3m to both sides and simplify:

5m < 30

Divide both sides by 5:

5m/5 < 30/5

Simplify:

m<6

Question 3:

Expand:

18x + 12 ≤ -39 + x

Subtract 12 from both sides and simplify:

18x ≤ x - 51

Subtract x from both sides and simplify:

17x ≤ -51

Divide both sides by 17 and simplify:

x ≤ -3

Question 4:

Add similar elements:

-3m + 5m = 2m

Expand and simplify:

2m ≥ -12m

Add 12m to both sides and simplify:

14m ≥ 0

Divide both sides by 14 and simplify:

m ≥ 0

The sales tax on a $12,000 car is 4%. How much money do you spend on taxes to buy the car?

Answers

Answer:

With just sales taxes its $480 in taxes

Step-by-step explanation:

$12,000 x .04 = 480

Need helps with 45 , picture above

Answers

Answer:

Ok:

Step-by-step explanation:

We know Josh buys 3 oranges for $2 and sells 2 oranges for $3. Let's take the LCM (least common multiple) of 2 and 3. It is 6. If he buys 6 oranges, he needs $4. When he sells 6 oranges he makes $9. That is a total profit of $5. In total that means, if we multiple by 10, that means that if he sells 60 oranges,  he would make $50. Thus C is the answer

A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent?

Answers

The price at which they will sell the car is $34.30.

What is the selling price?

A discount reduces the carrying value of the model car. If the price of the car is discounted by 5% everyday, it means that the car decreases at an exponential rate. When there is an exponential decrease, the value of the car falls faster with the passage of time.

Exponential functions have this form [tex]e^{x}[/tex]

Where:

x = the variable e = constant

The formula that can be used to determine the price at which they will sell the car is:

Selling price = initial value x (1 - discount rate)^number of days

$40 x (1 - 0.05)^3

$40 x 0.95^3 = $34.30

To learn more about exponential functions, please check: https://brainly.com/question/26331578

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A line passes through the point (8,-2) and has a slope of -5/2. Write an equation in slope intercept form

Answers

Answer:

y= -5/2x+18

Step-by-step explanation:

(Refer to picture)

Just like the last one, use the point-slope formula: y-y1=m(x-x1)

Plug in (8, -2) as y1 and x1

Simplify the equation.

Solve the equation.

24 – 3x = 2x – 1

A. x = 4
B. x = 5
C. x = 6
D. x = 25

Answers

the answer is D. x= 25

Please help ;^;^;^;^;​

Answers

Answer:

-5

Step-by-step explanation:

The numbers went from -9t to -8t That means 1t=-5

Answer:

t = -5

Step-by-step explanation:

-9t - 5 = -8t

+-9. +-9

-5 = t

You type 4500 words per hour. How many words do you type
per minute?

Answers

Answer:

you type 75 words per minute.

Step-by-step explanation:

since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)

See attachment for math work and answer.

What is the value for y in the following expression y=-2x+8 when x=20

Answers

Answer:

y = -32

Step-by-step explanation:

[tex]y=-2x+8\\\\x=20[/tex]

Substitute ; x =20 in given equation

[tex]y =-2(20 )+8\\\\y = -40+8\\\\y = -32[/tex]

plug in 20 for x. y=-2(20)+8; y= -32

Write the ratio 12 dollars for 3 tickets as a unit rate

Answers

Answer:

12:3

Step-by-step explanation:

The unit rate would be 12:3

10 points
The cost of renting is $25 per day plus a one-time insurance fee of $50.
Write and solve an inequality to find how many days can the car be
rented if the total cost is to be no more than $475.

Answers

Answer - 17 days

We know that the total cost cannot be greater than 475. So set the equation 25x+50=475. Now solve for x. You should get x=17 as your answer.

Give an example of a real number that is not rational.

Answers

Answer:

A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.

if C (-6,4) is rotated 180 degrees around the origin, the image point C’ would be ?

Answers

Answer:

6,4

Step-by-step explanation:

How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answers

The equation will not have an equal sign because that’s what represents an equation

Answer: How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Step-by-step explanation:

There you go homies

Type the missing number in this sequence: 50, 42, 34, 18, 10, 2 what comes after 34?​

Answers

Answer:

The answer is 26 is after 34.

The pattern is x - 8 = y.

Step-by-step explanation:

Good luck! <3

The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point

Answers

need the coordinates to be able to answer

Question 3 of 10
If f (x)= 2(x)2 +5(x+2), complete the following statement:
f(2)=
Answer here

Answers

Answer:

f(2) = 28

Step-by-step explanation:

f(x) = 2(x)2 + 5(x+2)

f(2) = 2(2)2 + 5(2+2)

= 4.2 + 5(4)

= 8 + 20

= 28

hope this help you

Answer:

x = 1.6666666667

Step-by-step explanation:

x = 2×2 + 5x + 10

= 2x + 5x + 10

-10= 2x+ 5x - x

-10=6x

1.6666666667 = x

x= 1.6666666667

Need help filling out the chart for #3

Answers

Answer:

Slope intercept equation= y2-y1 over x2-x1

When to use= You know the slope and any point

parallel to y = 1/2x+3 and through the point (4,5)

Answers

Y-y1 = slope (x-x1)
Y-5=1/2(x-4)
Y-5= 1/2x-2

Final answer
Y=1/2x + 3

Write an expression that is equivalent to three over five (3y + 15). (4 points)

A three over five y + 9

B three over five y + 15

C nine over five y + 9

D nine over five y + 15
HELP ASAP

Answers

Answer:

The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ Three over five means [tex]\frac{3}{5}[/tex]

∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)

→ By using the distributive property, multiply each term inside the

   bracket by three over 5

∴  [tex]\frac{3}{5}[/tex] (3y + 15) =  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)

→ Multiply three over five by 3y

∵  [tex]\frac{3}{5}[/tex] (3y) =  [tex]\frac{3(3)}{5}[/tex] (y) =  [tex]\frac{9}{5}[/tex] y

→ Multiply three over five by 15

∵  [tex]\frac{3}{5}[/tex] (15) =  [tex]\frac{3(15)}{5}[/tex] =  [tex]\frac{45}{5}[/tex] = 9

∴  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9

∴ [tex]\frac{3}{5}[/tex] (3y + 15) =   [tex]\frac{9}{5}[/tex] y + 9

The equivalent to three over five (3y + 15) is  [tex]\frac{9}{5}[/tex] y + 9

c please give 4 stars :)

Y varies directly with the square of X and when Y= 80, X=4

Answers

Answer:

Whats the question?

Step-by-step explanation:

???

Answer:

y=5x^2

Step-by-step explanation:

Which features describe the graph?

Select all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

The domain is correct, and the range is accurate as well: the other two do not apply to this graph (they have incorrect values).

the features would be domain and range

Solve this question. Show the work.​

Answers

Answer:

1. 36°

2. 36°

3. 54°

Step-by-step explanation:

Which list is in order from least to greatest?

Answers

Answer: A

Step-by-step explanation:

Scientific notation exponents are in order from least to greatest and 8.1 > 6

Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?

Answers

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

For more details, refer to the link:

https://brainly.com/question/13599569

Alright anyone that can help me?

Answers

The answer is D, [tex]\sqrt2[/tex]

If you found this answer helpful, I strongly recommend marking me as Brainliest!

The last one. :))))))))))))

(4.7 x 107) + (3.4 x 10)

Answers

Answer:

536.9

Step-by-step explanation:

what is the x intercept for y= 3x - 8

Answers

Answer:

The x-intercept would be 8/3.

Answer:

(8/3, 0)

Step-by-step explanation:

Help me plz!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-2

Step-by-step explanation:

-2+5=3

|u+5=3| subtract 5 from both sides |u=3-5| add like terms |u=-2| check: |-2+5=3|

hope this helped!!

Mark is deciding between two packages of cheddar cheese. Cheetah Chedda is $4.80 for 16 ounces. Moo Valley is $4.20 for 12 ounces. How much more does Moo Valley cost per ounce?

Answers

Answer:

$0.05

Step-by-step explanation:  first, divided $4.80 and 16= $0.30. Then, divided $4.20 by 12= $0.35. And subtract your two answers

Moo Valley's cost per ounce is $0.05 per ounce more than the  Cheetah Chedda cost of per ounce.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Cheetah Chedda cost per ounce = 4.80 / 16 = $0.3 per ounces
Moo Valley cost per ounce = 4.20 / 12 = $0.35 per ounces

Thus, Moo Valley's cost per ounce is $0.05 per ounce more than the  Cheetah Chedda cost of per ounce.

Learn more about arithmetic here:

https://brainly.com/question/11424589

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