All categories

1 year ago

A company's profit is described by the equation P(x)=-5x^2+300x+15,000

Mathematics

2 answers:

qaws [65]1 year ago

4 0

When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500

Novay_Z [31]1 year ago

3 0

<span>P(x)=-5x^2+300x+15,000 is the equation of a parabola and represents profit. Its graph opens down. Our job is to find the x-coordinate of the vertex (which is the x-coord of the maximum profit) and then the corresponding y-value.

The formula x = -b / (2a) will produce that x-coordinate:

-(300)
x = ------------ = 30
2(-5)

When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500 (answer)

</span>

You might be interested in

Consider coordinate system a, with the x axis along the plane. which forces lie along the axes?

Butoxors [25]

It seem like there are information missing on the question posted. Let me answer this question with all I know. So here is what I believe the answer is, the horizontal force.

Hope my answer would be a great help for you. If you have more questions feel free to ask here at Brainly.

7 0

1 year ago

Students make 82.5 ounces of liquid soap for a craft fair. They put the soap in 5.5-ounce bottles and sell each bottle for $4.

Dovator [93]

Answer:

$63

Step-by-step explanation:

7 0

1 year ago

Read 2 more answers

Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were blac

geniusboy [140]

Answer: C. He used too few trials for the sample space.

Step-by-step explanation:

Given: Josh used a standard deck of 52 cards to conduct an experiment.

As half of the cards in the deck were red.

If we take sample space= 52 cards

Then probability of getting a red card $=\frac{1}{2}$

But Josh took 8 cards as sample space which is not enough for the sample space.

therefore, C. is the right answer. "He used too few trials for the sample space."

8 0

1 year ago

Read 2 more answers

Anita is a door-to-door saleswoman for a company selling bedcovers. The company pays her a fixed salary of Rs W every month and

lorasvet [3.4K]

Given:

Anita's fixed salary = Rs. W

Bonus = Rs. Z for every bedcover sold by her.

To find:

Her total earnings if she sold 46 bedcovers.

Solution:

We have,

Bonus if she sold 1 bedcover = Rs. Z

Bonus if she sold 46 bedcover = Rs. Z × 46

We know that,

Total earnings = Fixed salary + Bonus

= $W+Z\times 46$

Therefore, the correct option is (b).

3 0

1 year ago

Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the

Murljashka [212]

Answer:

Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

Step-by-step explanation:

$H_{0}$ : Mean speed of the new chip is the same as the old chip

$H_{a}$ : Mean speed of the new chip is greater than the old chip

to calculate the z-statistic we can use the formula:

z= $\frac{M_{n}-M_{o}}{\sqrt{\frac{s_{n}^2}{N_{n}} +\frac{s_{o}^2}{N_{o}} } }$

if we put the numbers then

z= $\frac{495.6-481.2}{\sqrt{\frac{19.4^2}{65}} +\frac{14.3^2}{65} } }$ =4.8171

The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

4 0

1 year ago