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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This would be exponential growth
A= 500,000(1+.0625)^10
=500,000(1.0625)^10
=500,000* <span>1.83353577126
the population after 10 years= </span><span>916,767
A=500,000(1+.0625)^20
=500,000(1.0625)^20
=500,000* 3.36185342451
the population after 20 years would be= </span><span>1,680,926</span>
Answer:
can anyone explain step by step how to fiquire this out please .. sons teacher isnt helping
Step-by-step explanation:
Step-by-step explanation:
To me yes.
Algebra is mostly memorization. If you know the formulas and know how to apply it, you should do good.
I say use this. Algebra topics are like building on top each other.
Heart of Algebra:
- Review what the purpose of x in algebra.
- Then learn things like combining like terms, and solving for x.
- Since you know the basics of x, you can then review linear equations( imo, a big content of algebra). Stuff like slope, different linear forms, graphs of linear equations, and mostly linear equation word problems
- Then you can review system of equations. since you know how to manipulate linear equations, etc.
Then move on to other algebra topics dealing with algebra like
- functions, and different types of them
- exponents, and radicals rules
- inequalities.
- sequences.
- These aren't the heart of algebra but study them they are useful and it important to know them.
Since you learned different function rules, we can move on to learning exponetial functions, graphs, and word problems.
Then finally, learn most hard thing in Algebra: Quadratics.
Pratice,practice, and practice and you will pass.
Try to memorize the formulas and know when to apply it.
Good Luck