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3 years ago

5

Fernanda has a collection of 200 seashells from corpus christi she gage her sister one-fifth of her collection how many seashell

s does she have left

1 answer:

8090 [49]3 years ago

7 0

1/5 of 200 is 40 which mean she gave 40 away and she has a 160 left

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What shape is in the interior of these four<br> lines? Classify it.

Airida [17]

Answer:

parallelogram

Step-by-step explanation:

5 0

3 years ago

Someone please help me

hichkok12 [17]

Answer:

364.8 ft^2.

Step-by-step explanation:

I assume you want the area of the figure.

Total area = area of the top triangle + area of the trapezium

= 1/2 * base * height + 1/2 * height * ( sum of the parallel sides)

= 1/2 * 18 * 6 + (14/2)( 18 + 26.4)

= 54 + 310.8

= 364.8 ft^2.

3 0

3 years ago

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

#20 four times the sum of number. and 15 is a least20. Let X represent the number. :find ball possible values for X

gayaneshka [121]

For this case what we have to take into account is the following variable:
x = represent the unknown number
We now write the following inequality:
"four times the sum of number and 15 is at least 20"
4 (x + 15)> = 20
We clear the value of x:
(x + 15)> = 20/4
(x + 15)> = 5
x> = 5 - 15
x> = - 10
The solution set is:
[-10, inf)
Answer:
all possible values for X are:
[-10, inf)

6 0

3 years ago

Please help fast i am struggling

klemol [59]

B is the correct answer for your question I do believe, I hope that helped you. If not I am sorry, I tried to answer fast for you.

6 0

3 years ago