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Ne4ueva [31]
2 years ago
13

8) Circle each statement that is true

Mathematics
1 answer:
zavuch27 [327]2 years ago
5 0
Don’t click that link it’s a scam!
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You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 5
sertanlavr [38]
A) Demand function

price (x)          demand (D(x))

4                      540

3.50                  810

D - 540          810 - 540
----------- =  -----------------
x - 4               3.50 - 4

D - 540
----------- = - 540
x - 4

D - 540 = - 540(x - 4)

D = -540x + 2160 + 540

D = 2700 - 540x

D(x) = 2700 - 540x

Revenue function, R(x)

R(x) = price * demand = x * D(x)

R(x) = x* (2700 - 540x) = 2700x - 540x^2

b) Profit, P(x)

profit = revenue - cost

P(x) = R(x) - 30

P(x) = [2700x - 540x^2] - 30

P(x) = 2700x - 540x^2 - 30

Largest possible profit => vertex of the parabola

vertex of 2700x - 540x^2 - 30

When you calculate the vertex you find x = 5 /2

=> P(x) = 3345

Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.




5 0
3 years ago
Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight
jasenka [17]

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.

It means they are travelling at a constant rate.

Slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is

m=\frac{38-34}{3-1}=2

It means the Brian's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is

m=\frac{31-27}{3-1}=2

It means the Kelsey's car traveled at the rate of 2 cm per sec.

From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is

m=\frac{33-27}{3-1}=3

It means the Geoff's car traveled at the rate of 3 cm per sec.

Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.

7 0
2 years ago
Read 2 more answers
How may shells does Joshua have?
Tpy6a [65]
24, since 54-30 is 24, and 30+24 is 54.
5 0
3 years ago
Read 2 more answers
Please help im almost done​
irga5000 [103]

Answer:

1/4

Step-by-step explanation:

the numerator is 12 because there are 12 possible outcomes.  The numerator is 3 because there are 3 numbers in this set that are greater than 9.  You get 3/12 which then simplifies to 1/4

8 0
3 years ago
Can someone plzz help me wit #2 plzz
evablogger [386]

F = \frac{s+24}{3}

express the equation with F on the left side

3F - 24 = s ( add 24 to both sides )

3F = s + 24 ( divide both sides by 3 )

F = \frac{s+24}{3}


5 0
2 years ago
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