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laiz [17]
2 years ago
6

An average of 70,000 people visit Riverside Park each day in the summer. The park charges $12.00 for admission. Consultants pred

ict that for each $1.00 increase in the entrance price, the park would lose an average of 2,500 customers per day. (a) Express the daily revenue from ticket sales, R as a function of the number of $1.00 price increases, x. R=f(x)= (70000-2500x)(12+x) equation editorEquation Editor (b) What ticket price maximizes the revenue from ticket sales?
Mathematics
1 answer:
s2008m [1.1K]2 years ago
6 0

Answer:

The price that maximizes the revenue is $20

Step-by-step explanation:

(a) Express the daily revenue from ticket sales, R as a function of the number of $1.00 price increases,

R(x) = (70000-2500x)(12+x)

(b) What ticket price maximizes the revenue from ticket sales?

The ticket price that maximizes the revenue is associated with the x of the vertex of the parabola.

R(x) = (70000-2500x)(12+x) = 840000 + 70000x - 30000x - 2500x² =

-2500x² + 40000x + 840000

x vertex = -b/2a = -40000/2.(-2500) = 8

12+8 = 20

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Mila [183]

Answer:

New balance = $316.8

Step-by-step explanation:

Given : Maya's unpaid balance is $205.16. Her APR is 14.4% and she has $82.10 in new transactions.

To find : What is her new balance?

Solution : First we find out the finance charge

Unpaid balance = $205.16

Finance rate = 14.4%

Finance charge = Unpaid balance × finance rate

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Finance charge = $29.54

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New balance =  Unpaid balance + finance charge + new purchase

New balance =  $205.16 + $29.54 + $82.10

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The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five numb
melisa1 [442]

Answer: The  lowest value: 100 and highest value: - 150 .

If we were to build the box plot for this data, the box would stretch between Q_1= 100 and Q_3= 125.

Step-by-step explanation:

We know that the box-plot is the graphical way to represent the five -number summary (Minimum value , First quartile (Q_1) , Median , Third Quartile (Q_3)  , Maximum value).

Where , the box streches between the first quartile  (Q_1)  and the third quartile  (Q_3) .

Given : The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines.

The five number summary for prices based on a sample of major US airlines was:

Min = 60,

Q_1= 100

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If we were to build the box plot for this data, the box would stretch between Q_1= 100 and Q_3= 125.

Hence, the  lowest value: 100 and highest value: 125 .

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2 years ago
Witch of the functions below could possibly have created this graph? A.f(x)-x^5+2x^4-3x B.f(x)=-1/3x^4+7x^2+15 C.f(x)=1.9x^8+15x
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B.f(x)=-1/3x^4+7x^2+15

Step-by-step explanation:

You can use a graph tool to graph the function a visualize the behavior.

Using a graph tool, the function,.f(x)=-1/3x^4+7x^2+15 could possibly have created the graph. See attached graph for the function.

Learn More

Graphs of polynomial function: brainly.com/question/12373761

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One answer would be a horizontal x vector equal to 12 m, and a vertical y vector equal to 16 m.
5 0
2 years ago
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