Describe the transformation of f(x)=x^3 to g (x)=-4 (x-1)^3+7

The price-demand equation for hamburgers at a fast food restaurant is given by the equation below. Currently the price of a hamb

Hitman42 [59]

<h3>Answer: Revenue decreases by 23.2%</h3>

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Work Shown:

x = demand

p = price

Solve for the demand x when the price is p = 4.50 dollars.

x+500p = 3500

x+500(4.50) = 3500

x+2250 = 3500

x = 3500-2250

x = 1250

If the price is $4.50, then the demand is 1250 (ie 1250 people will want a hamburger)

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Compute the revenue

Revenue = (price per item)*(number of items sold)

Revenue = p*x

Revenue = (4.50)*(1250)

Revenue = 5625

If the price per burger is $4.50, then the revenue is $5,625.

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Let's increase the price by 20%. To do this, multiply by 1.20

1.20*4.50 = 5.40

The price of the burger is now $5.40

Let's see what x will become after we plug in p = 5.40

x+500p = 3500

x+500(5.40) = 3500

x+2700 = 3500

x = 3500-2700

x = 800

The demand has dropped to 800

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Next compute the new revenue

Revenue = (price per item)*(number of items sold)

Revenue = p*x

Revenue = (5.40)*(800)

Revenue = 4320

The revenue is now $4,320

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Lastly, find the percent change from the old revenue ($5,625) to the new revenue ($4,320)

A = old value = 5625

B = new value = 4320

C = percent change from A to B

C = 100*(B-A)/A

C = 100*(4320-5625)/5625

C = 100*(-1305/5625)

C = 100*(-0.232)

C = -23.2%

The negative C value indicates a percent decrease.

<h3>Revenue has decreased by 23.2%</h3>

6 0

2 years ago

connor bought 40 pencils for 0.35 each. Mara bought 70 pencils at the same price. how much more money did Mara spend?

Eduardwww [97]

$10.50... multiply each quantity by .35cnts...$24.50-$14.00=$10.50

3 0

2 years ago

A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

2 years ago

Need help plz I’m almost done

JulsSmile [24]

Hello!

The graph, (2/5)^x is an exponential function.

Since there is not a negative symbol in the front of the function, options A and B are incorrect.

For option 3 to be correct, there would need to be a negative symbol in front of the exponent, x.

So therefore, the answer option 4. (Also, I'll post a graph. :))

8 0

2 years ago

Plz help asap will give more points

Tju [1.3M]

Answer:jhbehusbchu

Step-by-step explanation:

xhbh hc eh chudw

6 0

2 years ago