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:
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Answer: 9.9 years.
Step-by-step explanation:
If interest is compounded continuously, then formula to compute final amount A = 
, where P =initial amount, r= rate of interest , t=time.
Given: P= $61,000, r= 1.9% =0.019 , A = $ 73600
Substitute all values in formula
Taking natural log on both sides
Hence, the required time = 9.9 years.
Given that Cory does not have much money saved he will be using her regular incomes to pay his rent and car, so the most appropiate bank account is a checking account.
That will let him to deposit his incomes and make the payments with checks.
It does not make sense opening an account that pays interests because the money will be spent promptly.
Answer: option a. checking account.
Answer:
Step-by-step explanation:
12a)To rationalize the denominator, multiply the denominator and numerator by √5.
b) (a+b)² = a² + 2ab + b²
(1 +√3)² = 1² + 2*1*√3 + (√3)²
= 1 + 2√3 + 3
= 4 + 2√3
a = 4 ; b =2
13) (a + b)(a - b) = a² - b²
Answer:
700 meters
Step-by-step explanation:
