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3 years ago

Kali runs 10 laps each day and the each track around is 400 meters how many days will it take kali to run 12 kilometers

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

It will take her three days

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Domain and range What’s the domain and range of {(-4,2), (2,-4), (1,2), (-1,-7)}

dsp73

Domain (-4,2,1,-1)
Range(2,-4,-7)

4 0

2 years ago

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

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

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

3 years ago

The number of members in the recycling club increased by 15 people. If the club had 12 members previously, what was the percent

ivolga24 [154]

Answer:

125%

Step-by-step explanation:

You divide 15 by 12 and convert to a percentage.

Brainliest?

4 0

3 years ago

I will give brainlest answer

KonstantinChe [14]

4 units right and 4 units down

4 0

3 years ago

It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?

belka [17]

We know that it costs $68 for 16 square feet of flooring. To find out how much it costs for 12, we first have to find out how much it costs for 1 square foot.
To find that, we would do $68 divided by 16, which is 4.25.
That means 1 square foot costs $4.25.
Then, we would multiply $4.25 by 12 to find how much 12 square feet costs.
$4.25 times 12 is 51.

So, it would cost $51 to have 12 square feet of flooring.

5 0

3 years ago