answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Iteru [2.4K]
2 years ago
10

Kristin owns a bakery called Kristin's Cakes n' Such and is considering lowering the price of her cakes. Kristin polls her custo

mers and determines that she can sell 100 cakes each week when she chargers $25 each. She also discovers that for every $1 decrease in the price of the cake, she will sell 5 more cakes. At what price should Kristin sell her cakes in order to reach he maximum potential revenue?
Mathematics
1 answer:
azamat2 years ago
7 0
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
                               y = (25 - x)(100 + 5x)
Simplifying, 
                              y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
                             dy/dx = 0 = 25 - 10x
The value of x is 2.5. 
 The price of the cake should be 25 - 2.5 = 22.5. 
Thus, the price of the cake that will give the maximum potential revenue is $22.5. 
You might be interested in
What is the value of the algebraic expression x=1/2, y=1, and z=2? 6x(y2z)
alexandr1967 [171]
Is 12 I think so !! try it
5 0
2 years ago
Daniel wants to predict how far he can hike based on the time he spends on the hike. He collected some data on
horsena [70]

Answer:

Daniel can read his data and refer to line as best line of fit and estimate an average per set of hours.

Step-by-step explanation:

A line of fit draws a solid conclusion to the average for the hours spent during the amount of indicated hours. We draw a line of fit central fit and aim similar centrality as that similar results of the mean (without working out the mean we can draw a line perpendicular to the number of mean, but in line of fit we go central to all the descending or cascading results to include all results but just using one line), with one further consideration and that is balance if anything sticks out from the norm ie) weather conditions including data, we suggest if there is nothing to weigh the line of fit to a balancing outcome that shows the opposite of kilometres walked (eg. extreme higher mileage within the hour/s) then it may just alter the line a fraction of how many treks he did, but not in data less than 30 entries. Have attached an example where they classify in economics something outside the norm is called a misfit. Daniel can read his data and refer to line as best line of fit and estimate an average per set of hours. Here on the attachment you can read any misfit info and use the line coordination perpendicular to guide the indifference, the attachment shows it is not really included in the best line of fit as other dominating balances have occurred and therefore we have a misfit, all whilst using best line of fit to balance everything fairly.

7 0
2 years ago
Read 2 more answers
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14
Vesnalui [34]

Answer:

He estimated there were about $10.40 worth of groceries

Step-by-step explanation:

You want to round the prices up to the nearest tenth and then add them all.

3.50

3.50

1.15

1.15

1.15

___

10.45

So 10.45 is closest to 10.40 and you have to remeber that this is just an estimate so it will be less because we rounded the answer up.

Hope this helps

8 0
1 year ago
Read 2 more answers
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in ye
sdas [7]

Answer:

10 + (\frac{2}{3}) a = 50 is the CORRECT equation.

Step-by-step explanation:

The given question is INCOMPLETE.

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?

Now here:

a:  The tree’s age in years.

Also,  “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”

⇒ 10 +  two-thirds of that tree’s age  = 50

\implies 10 + (\frac{2}{3}) a = 50

But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.

So, the written equation by Javier is Incorrect.

Now, solving the written correct equation for the value of a, we get:

\implies 10 + (\frac{2}{3}) a = 50\\\implies  (\frac{2}{3}) a = 40\\\implies a = 40 \times  (\frac{3}{2})  = 60\\\implies a  = 60

Hence the correct  age of the tree = 60 years

5 0
2 years ago
Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula V =
Wittaler [7]
Hello!

You find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula
<span>V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. 
</span>
Solution:

So in this Case, we can see that the Length = x, Width = x², and Height = 5x2 + 4x + 1.             Remember: (V = l . w . h)<span> 

Use the formula:</span>
<span>V = l ⋅ w ⋅ h,=x×x²×(5x²+4x+1) 
</span>
<span>=x³×(5x²+4x+1) 
</span>
=5x^5+4x^4+x³

I Hope my answer has come to your Help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

(Ps. Mark As Brainliest IF Helped!)
5 0
2 years ago
Other questions:
  • ∠C and ​ ∠D ​ are vertical angles with  m∠C=−x+26 and  m∠D=2x−10 .   What is m∠D ?
    15·2 answers
  • A survey of the men in a certain town showed that 35% of the men have blond hair and 14% of them have blond hair and blue eyes.
    12·1 answer
  • Recently, 18.3% of visitors to the travelocity web site hailed from the google search engine. a random sample of 130 visitors on
    14·1 answer
  • A boat travels at constant speed. After 20 minutes the boat had traveled 2.5 miles. How long does it take the boat to reach the
    7·1 answer
  • Uma empresa transporta armários para escritórios para uma localidade distante 425km. Seu custo é de R$2,10 por km rodado. Quando
    12·1 answer
  • 3. A local pizza restaurant has two options for birthday parties; the Premium Plan and the
    9·1 answer
  • Lucky's Market purchased a new freezer for the store.
    13·2 answers
  • If ΔOCD ≅ ΔJAL, then which of the following statements are true? Select True or False for each statement.
    7·1 answer
  • Distinguish between rote and rational counting​
    10·1 answer
  • Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the tabl
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!