19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
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Y-intercept (0, 1)
Equation of asymptote y=0
Equation of asymptote can also be called horizontal asymptote.
It means the place where the line almost meets but actually not touching the place. The line almost touches y=0 but it actually does not touch it.
Answer:
Median= 14
Mean= 90
Step-by-step explanation:
Median:
Put the numbers in order,
4, 7, 9, 14, 16, 19, 20 Then after that you find the number exactly in the middle. That number ends up to be 14.
Mean:
Add up all of the numbers and then round it to the nearest tenth: 90
Median= 14
Mean= 90
Answer:
see explanation
Step-by-step explanation:
Given
2cosΘ - 
= 0 ( add to both sides )
2cosΘ = ( divide both sides by 2 )
cosΘ = 
Since cosΘ > 0 then Θ is in first and fourth quadrants, hence
Θ = 
( ) = 
OR
Θ = 2π - = 
solutions are Θ = ,
