1answer.
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
dsp73
3 years ago
15

A farmer finds that if she plants 70 trees per acre, each tree will yield 75 bushels of fruit. She estimates that for each addit

ional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest?
Mathematics
1 answer:
Arturiano [62]3 years ago
8 0

Answer:

  44 3/8 trees per acre

Step-by-step explanation:

Let x represent the number of trees planted per acre. Let y represent the yield in bushels per tree. The farmer estimates the yield will be ...

  y = 75 -4(x -70)

  y = 355 -4x . . . . . . simplify

The yield per acre is this yield per tree multiplied by the number of trees per acre, x.

  yield per acre = x(355 -4x) = 4(x)(88.75 -x)

This describes a downward-opening parabola with zeros at x=0 and x=88.75. The vertex (maximum) is halfway between the zeros, at x = 44.375.

To maximize her harvest, the farmer should plant 44 3/8 trees per acre. If the model is correct, each tree would then produce 177.5 bushels of fruit, almost 2.4 times the current yield.

You might be interested in
Need answer asap. will give thanks
kompoz [17]
The answer of the larger circle = 254.34
Formula = radius*radius*π

The answer of the smaller circle = 113.04

254.34 - 113.04 = 141.3

Hope this helped☺☺
4 0
3 years ago
Read 2 more answers
30 POINTS please help me!
Stels [109]
To prove a similarity of a triangle, we use angles or sides.

In this case we use angles to prove

∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)

∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)

∠BAC = ∠EFD (sum of ∠s in a triangle)

Now we know the similarity in the triangles.

But it is necessary to write the similar triangle according to how the question ask.

The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.

∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED

Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.

Answer is ∆ABC is similar to ∆FED.
7 0
3 years ago
Answer the following correctly do not give foolish answers or i will report your account
Anvisha [2.4K]

Answer:

I don't know the answer but I have a suggestion, have you tried using 900gle lens app putting it on homework setting then scanning it for the answer

8 0
3 years ago
2a+4(7+5a)I need help
kolezko [41]

2a+4(7+5a)

Distribute 4 into 7 and 5a

2a+28+20a

Combine like terms

Final Answer: 22a+28

6 0
3 years ago
Read 2 more answers
alecu a imprumutat de la un prieten romanul lui james verne ,,Ocolul Pamintului" in 80 de zile. Daca ar citi zilnic 14 pagini, a
ycow [4]
Salut!
Alecu ar citi in 12 zile 14 x 12 = 168 de pagini (atatea pagini are cartea);
O saptamana are 7 zile, asa ca 168 ÷ 7 = 24 de pagini trebuie sa citeasca zilnic Alecu ca sa inapoieze cartea la sfarsitul celor 7 zile;
Succes!
8 0
3 years ago
Other questions:
  • Are the following figures similar? How do you know?explain being especific
    9·2 answers
  • HELP ME HELP ME HELP ME
    10·1 answer
  • Somebody help #9 geometry
    10·1 answer
  • The Wilson family is going to an amusement park for the day. The park charges $15 per vehicle for parking. The cost of each admi
    8·1 answer
  • The length of the hypotenuse of a right triangle is 145 units. The length of one leg of the triangle is 144 units. Mike wrote th
    13·1 answer
  • Decide!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • Can someone help me with this
    10·1 answer
  • 3. Which represents the problem below?
    15·1 answer
  • Calculator<br> What is M<br> Put your answer in the box <br> °
    13·2 answers
  • Find m∠U.<br> Write your answer as an integer or as a decimal rounded to the nearest tenth.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!