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3 years ago

Solve for x. Your answer must be simplified. −30< x/-4

Mathematics

2 answers:

kumpel [21]3 years ago

7 0

Answer:

x<120 i think

wlad13 [49]3 years ago

4 0

It’s actually 7.5>x :))))

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A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per

dexar [7]

Answer:

The total revenue is $TR=580x-10x^2$ .

The marginal revenue is $MR=580-20x$ .

The fixed cost is $900.

The marginal cost function is $MC=50x+300$ .

Step-by-step explanation:

The Total Revenue ( $TR$ ) received from the sale of $x$ goods at price $p$ is given by

$TR=p\cdot x$

The Marginal Revenue ( $MR$ ) is the derivative of total revenue with respect to demand and is given by

$MR=\frac{d(TR)}{dx}$

From the information given we know that the price they can sell cakes is given by the function $p=580-10x$ , where $x$ is the number of cakes sold per day.

So, the total revenue is

$TR=(580-10x)\cdot x\\TR=580x-10x^2$

And the marginal revenue is

$MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x$

The Fixed Cost ( $FC$ ) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost ( $MC$ ) function is the derivative of the cost function and is given by

$MC=\frac{d(TC)}{dx}$

We know that the total cost function of the company is given by $C=(30+5x)^2$ , which it is equal to

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900$

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

$MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300$

4 0

3 years ago

Kelly uses a building block to create the top of a tower. The front face of the building block is shown.

max2010maxim [7]

What you need to do is do the formula of Area=1/2×Height (Base B +Base A) Base B is bottom Base A is the top then you divide by 2 In this case 1/2 ×8/1 ×(12+15)=108

3 0

2 years ago

784,072 rounded to the nearest hundred thousand

Fittoniya [83]

When you round; you round down if the number in the selected column is below 5 and you round up if the number is 5 and above.

Thus; if you apply this to your question:

784,072 then round up and you get 790,000

3 0

3 years ago

A line is defined by the equation y=2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of

AlladinOne [14]

Answer:

x=9

Step-by-step explanation:

To find the x-coordinate, plug the y-coordinate into the equation and solve from there.

(0 = 2/3x - 6) (6 = 2/3x) (18 = 2x) 9 = x

8 0

3 years ago

Read 2 more answers

Units must be consistent. If the unit for p is dollars, the unit for i is dollars and the unit for t is years, what must the uni

umka2103 [35]

Assuming you're concerned with interest rate problems, r is generally involved in something like the formula ...

... i = prt

So, r will have the units of ...

... r = i/(pt) = (dollars)/(dollars·year) = 1/year

That is, r is <em>(some fraction) per year</em>.

_____

Often, the fraction is expressed as a percentage. The fraction will be unitless (as percentages are), leaving the units of r as year⁻¹.

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3 years ago