A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. When the price is lowered to $6, the average attendance rose to 39000. Find a demand function, D(q), where q is the quantity or number of spectators and D(q) is linear.

Answers

Answer 1

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.


Related Questions

Dependent variable C depends on both independent variable A and independent variable B. Which statement is correct?

A: the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed using the same scatterplot.

B: the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd.

C: Only the relationship between independent variable A and dependent variable C can be analyzed a scatterplotd.

D: Only the relationship between independent variable B
and dependent variable C can be analyzed a scatterplotd.​

Answers

Answer:

B

the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd

Answer:

its B

Step-by-step explanation:

3x + 43 = 4x + 2(4 + 2)

Answers

Answer:

x = 31

Step-by-step explanation:

[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]

Answer:

x=31

Step-by-step explanation:

first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.    

Mark has $9.10 to buy some fruit. He wants to buy six pounds of apples, which are $0.99 a pound and as many pounds of bananas as he can, which are $0.79 a pound. How many pounds of bananas can he buy?

Answers

Answer: 4 pounds

Step-by-step explanation:

Mark has $9.10 to buy fruits.

6 pounds of apple at $0.99 will cost $5.94

Balance 9.10 - 5.94 = 3.16

Bananas are $0.79 a pound

For $3.16, he will get

3.16 / 0.79 = 4 pounds of bananas

Find the number if: 5/9 of it is 90 PLEASE EXPLAIN

Answers

Answer:

The number is 162

Step-by-step explanation:

Let the number be x

5/9 of the number is 90

Which is

5/9 of x = 90

5/9 × x = 90

5/9x = 90

Multiply through by 9

That's

5x = 810

Divide both sides by 5

5x/5 = 810/5

x = 162

Therefore the number is 162

Hope this helps you

write seven hundred fifteen and one thousand one hundred fifty- three ten-thousandths as a decimal number

Answers

Answer:

715.1153

Step-by-step explanation:

write

seven hundred fifteen = 715

and

one thousand one hundred fifty- three = 1,153

ten-thousandths  = 1/10,000 = 0.000 1

 together = 0.1153

as a decimal number

So when added together

the number is

715.115 3

Answer:

715.1153

Step-by-step explanation:

School administrators asked a group of students and teachers which of two
school logo ideas, logo A or logo B, they prefer. This table shows the results.
Logo A
Logo B
Total
Students
67
33
100
Teachers
11
14
25
Total
78
47
125
Are being a student and preferring logo A independent events? Why or why
not?
O A. No, they are not independent, because Astudent) = 0.8 and
A student|logo A) = 0 62.
B. No, they are not independent because P(student) = 0.8 and
A student logo A) 0.86.
C. Yes, they are independent because P(student) = 0.8 and
A student logo A) 0.86
D. Yes, they are independent, because student) = 0.8 and
A student logo A) = 0.62​

Answers

Answer:

The events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Step-by-step explanation:

Given

--------------Logo A --- Logo B ---Total

Students ----- 67----------33--------100

Teachers ----- 11 ----- ----- 14 -----  25

Total ----- ------78-----------47--------125

Required

Determine if being a student and preferring logo A are independent events

Let P(S) represent probability of being a student

Let P(Logo A) represent probability of preferring logo A

Let P(S n Logo A) represent probability of  being a student and preferring logo A

To determine if they are independent, we have to calculate

P(S), P(Logo A) and P(S n Logo A)

P(S) = Total Students / Total Population

[tex]P(S) = 100/125 = 0.8[/tex]

P(Logo A) = Total that prefers Logo A / Total Population

[tex]P(Logo\ A) = 78/125 =0.624[/tex]

P(S n Logo A) = Number of students that prefer logo A /  Total Population

[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]

If the events are independent, then the following condition must be satisfied

[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]

Substitute the values of P(S), P(Logo A) and P(S n Logo A)

[tex]0.536 = 0.8 * 0.536[/tex]

[tex]0.536 \neq 0.4288[/tex]

Since they are not equal, then the events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Answer: b

Step-by-step explanation: just took the quiz

PLEASE HELP!!! And please SHOW YOUR WORK! *grade 9 work*

Answers

Answer:

4028.5

Step-by-step explanation:

V=4000+4.75 (6)

V= 4000+28.5

V=4028.5

Please Vote Brainliest!

Answer: Hope this helps <3

Step-by-step explanation:

[tex]V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5[/tex]

You arrive at a bus stop at 1:00, knowing that the bus will arrive at some time uniformly distributed between 1:00 and 1:30. a) What is the probability that you will have to wait longer than 10 minutes

Answers

Answer:

2/3

Step-by-step explanation:

You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30

that is 2 chances of you waiting longer than 10 minute


Identify the transformation on the figure shown.
A) rotation about the x-axis
B) rotation about the y-axis
C) reflection over the x-axis
D) reflection over the y-axis

Thank you

Answers

Answer:

It is a reflection over the y-axis (D)

Step-by-step explanation:

Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.

Answer:

reflection over y axis

Step-by-step explanation:

did it on usatestprep and made a 100

12/31/2019: At the end of the first year of operations, Yolandi Company had $900,000 in sales and accounts receivable of $350,000. XYZ's management has estimated that $9,000 in accounts receivable would be uncollectible.

Answers

Answer:

The journal entry to record bad debt expense should be:

December 31, 2019, bad debt expense

Dr Bad debt expense 9,000

    Cr Allowance for doubtful accounts 9,000

Net account receivables = $350,000 - $9,000 = $341,000

The allowance for doubtful accounts is a contra asset account that decreases the balance of accounts receivable (balance sheet). Bad debt expense is included in the income expenses and decreases total sales.

What is the square root of 100000000?

Answers

Answer:

10,000 is the answer to ur question

Answer:

10000

Step-by-step explanation:

√100000000 = 10000


Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A and point B. What did Carlos graph?

Answers

Answer:

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Step-by-step explanation:

Carlos graphed the set of points that are equidistant from both point A and point B.

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)


The sum of 54 anid six times a number is 216. Find the number.

Answers

Answer:

x = 27

Step-by-step explanation:

Step 1: Write out equation

54 + 6x = 216

Step 2: Solve for x

6x = 162

x = 27

Answer:

x=27

Step-by-step explanation:

54+6x=216

Collect like terms:

6x=216-54

6x=162

Divide both sides by the coefficient of x

6x\6=162\6

x=27

Graph this following function

Answers

Answer:

Please find attached the graph of the following function;

[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

Please explain how you got your answer also. A class has 21 girls and 12 boys. What is the probability that a boy's name is drawn at random?
12 over 21
21 over 12
12 over 33
21 over 33

Answers

It’s the answer 12 over 33

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.



Simplify Q + S - T.

-8m - 7n - 3
8m + 7n - 3
-8m + 7n - 3
8m - 7n - 3

Answers

Answer:

         The second:  8m + 7n - 3  

Step-by-step explanation:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5,

T = -m - 3n + 8.

Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)

Q + S - T = 7m + 3n + n + 5 + m + 3n - 8

Q + S - T = 8m + 7n - 3

If n is the term, what is the first integer value of n where the sequence 2n² is greater than 50?

Answers

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

use the elimination method to solve the system of equations. choose the correct ordered pair x+y=3 y=8

Answers

Answer:

(-5, 8)

Step-by-step explanation:

Step 1: Multiply 2nd equation by -1

x + y = 3

-y = -8

Step 2: Elimination

x = -5

Step 3: Find y

y = 8

If x = 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

Answers

Answer:

The discriminant equals to 0

Step-by-step explanation:

We have to remember our discriminant rules;

d > 0, we have 2 real roots

d = 0, we have 1 real root

d < 0, we have 2 complex roots

find the length here

Answers

Answer:

The correct answer is

D) 66.35

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

So in shorthand notation:

sin = o/h   cos = a/h   tan = o/a

Often remembered by: soh cah toa

Answer:

C

Step-by-step explanation:

BC is the opposite of angle 54, adi is AC=39

tan54=opp/adj.

BC=AC(tan54)

BC=39(1.376)=53.6789 close to 53.68

If the common difference of an A.P is d, find a3 – a1

Answers

Answer:

2d

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference, thus

a₃ - a₁

= a₁ + 2d - a₁

= 2d

Please answer it in two minutes





Answers

Answer:

p = 3

Step-by-step explanation:

We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.

We know both legs are equal because we have identical opposite angles in this right rectangle.

If we apply the Pythagorean theorem, we obtain:

[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]

there are only blue, yellow and green cubes in a bag. there are three times as many blue cubes than yellow cubes and five times as many green cubes then blue cubes. what is the chance that Sarah will get the yellow cube in its simplest form.

Answers

Answer: 1/11

Step-by-step explanation:

Let x be no. of yellow cubes.

Blue = 2x

Green = 4 x 2x = 8x

Total cubes = x + 2x + 8x = 11x

P(yellow) = x / 11x = 1/11

Solve: 1.2n+1=1-n
HELP PLS ASAP WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

Hello!

~~~~~~~~~~~~~~~~~

1.2n+1=1-n

=

n = 0

Step-by-step explanation:  Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

The points on the number line represent 6.72, 6, and 6.15.
+
6
6.4
6.1
6.5
6.8
6.9
6.2
6.3
6.6
6.7
7
7
Which shows the numbers in order from least to greatest?
O 6.72, 63, 6.15
O 6.72, 6.15, 6-7
O 6.15, 6.72, 65
O 6.15, 67, 6.72

Answers

I thinks it is the The third circle

Answer:

C is the right answer for me. But im like 80% sure on that tho. Hope this helps so much! :)

Step-by-step explanation:

find the value of a and b for which the system of equations has infinitely many solutions : 2x + 3y = 7 ; (a-b)x + (a+b)y = 3a + b - 2​

Answers

Answer:

a= 5    and   b=1

Step-by-step explanation:

To solve, we will follow the steps below:

2x + 3y = 7

(a-b)x + (a+b)y = 3a + b - 2​

We should note that since it has infinitely many solutions then,

[tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]

Hence

2/a-b  =  3/a+b   =     7/3a +b-2

2/a-b  =  3/a+b

cross-multiply

3(a-b) = 2( a+b)

open the bracket

3a - 3b = 2a + 2b

collect like term

3a - 2a = 2b + 3b

a = 5b  -------------------------------------------(1)

Similarly

3/a+b   =     7/3a +b-2

cross-multiply

7(a+b)  = 3(3a+b -2)

7a + 7b = 9a + 3b -6

take all the variables to the left-hand side of the equation

7a - 9a+ 7b-3b =   -6

-2a + 4b = -6 ---------------------------------(2)

but a = 5b

substitute a= 5b in equation (2)   and solve for b

-2(5) + 4b = -6

-10  +  4b  = -6

add 10 to both-side of the equation

-10  + 10+ 4b  = -6+10

4b = 4

divide both-side of the equation by 4

b = 1

substitute b= 1 in equation (1)

a = 5b

a =5(1)

a=5

Therefore,   a= 5    and   b=1

Determine the domain and range of the given function.
The domain is
4
The range is
2
х
-2
2.
4
-4

Answers

Answer: domain is all real numbers and range is all real numbers greater than or equal to -2

Step-by-step explanation:

graph the parobola. y=4x^2-7

Answers

Answer:

Step-by-step explanation:

y=4x^2-7

vertex(0,-7)

Find the area of a trapezoid with bases of 5 feet and a 7 feet, and a height of 3 feet a. 18 b. 36 c. 72 d. 40​

Answers

Answer:

The answer is option A. 18

Step-by-step explanation:

Area of a trapezoid = 1/2(a + b) × h

where

h is the height

a and b are the other sides

From the question

h = 3 feet

a = 5 feet

b = 7 feet

Area = 1/2(5+7) × 3

= 1/2 ( 12) × 3

= 6 × 3

The answer is

= 18

Hope this helps you.

Jessica saved a total of $58.50 to spend on school supplies. She wants to buy one backpack for $36.25 and she wants to spend the rest on folders with paper. Each folder filled with paper costs $3.89. Select the inequality that shows how many folders filled with paper (x) Jessica can buy. A. $36.25+$3.89x≥$58.50 B. $36.25+$3.89x≤$58.50 C. $36.25x+$3.89≥$58.50 D. $36.25x+$3.89x≤$58.50

Answers

Answer:

B. $36.25+$3.89x≤$58.50

Step-by-step explanation:

It has to be less than or equal to $58.50

Answer:

$36.25+$3.89x≤$58.50

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so  the answer would be $58.50.

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Jeff Heun, president of Vaughn Always, agrees to construct a concrete cart path at Dakota Golf Club. Vaughn Always enters into a contract with Dakota to construct the path for $174,000. In addition, as part of the contract, a performance bonus of $43,200 will be paid based on the timing of completion. The performance bonus will be paid fully if completed by the agreed-upon date. The performance bonus decreases by $10,800 per week for every week beyond the agreed-upon completion date. Jeff has been involved in a number of contracts that had performance bonuses as part of the agreement in the past. As a result, he is fairly confident that he will receive a good portion of the performance bonus. 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