A verbal statement that represents the expression 4 + k.

Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.

Pepsi [2]

The integral that is needed to solve the demand function is R(x) = 599x - 0.14 $x^{3/2}$

<h3>What is Demand Function?</h3>

A demand function describes the mathematical relationship between the quantity demanded and one or more determinants of the demand, as the price of the good or service, the price of complementary and substitute goods, disposable income, etc.

Here, given differential equation;

R'(x) = 599 - 0.21 $\sqrt{x}$

we can also write this as;

$\frac{d}{dx}R(x) = 599 - 0.21\sqrt{x}$

$d R(x) = (599 - 0.21\sqrt{x} ) dx$

On integrating both sides, we get

$\int\ d R(x) = \int\ (599 - 0.21\sqrt{x} ) dx$

R(x) = $599x - 0.21 X \frac{2}{3}x^{3/2}$ + C

R(x) = 599x - 0.14 $x^{3/2}$ + C ...........(i)

Also given, at x = 0, R(x) = 0, Put these values in equation (i), we get

0 = 0 - 0 + C

C = 0

Put the value of C in equation (i), we get

R(x) = 599x - 0.14 $x^{3/2}$

Thus, the integral that is needed to solve the demand function is R(x) = 599x - 0.14 $x^{3/2}$

Learn more about Demand Function from:

brainly.com/question/20564722

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7 0

2 years ago

A bedroom measures 15 ft by 14 ft with a closet that measures 4 ft by 8 ft. if carpet costs $4.25 per foot, how much will it cos

Anastasy [175]

First of all, I must assume that the correct cost for carpet is $4.25 per square foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.

Area of the room = (15-ft x 14-ft) = 210 square feet

Area of the closet = (4-ft x 8-ft) = 32 square feet

Total area = (210 + 32) = 242 square feet.

Total cost of carpet = (242 x $4.25) = $1,028.50 plus pad and installation.
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You know what ? I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's awfully expensive carpet.
I suspect the actual price is $4.25 per square yard. That's pretty cheap, but
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !)

If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.

The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.

$4.25 x 27 = $114.75 plus pad and installation. That sounds cheap but better.

7 0

3 years ago

313,456 ______320,592 < > =

harkovskaia [24]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Read 3 more answers

28 kg of bananas cost $56. How much would 36 kg cost?

zhenek [66]