Answer:
52 Trees
Step-by-step explanation:
If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.
Yield = 85 X 80
Let x be the additional tree planted per acre.
For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.
Therefore, the yield:
Next, we maximize F(x) by taking its derivatives and solving for its critical point.
It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.
Therefore, number of trees per acre she should plant:
85+(-32.5)
=85-32.5
=52.5 Trees
Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.
Answer:
B. 8.66%
Step-by-step explanation:
In this case we have to evaluate the following formula:
n = e ^ (k * t)
where n would be the growth rate, we are told that it doubles therefore it is 2.
k is the monthly rate and time, 8 months.
Solved for k, we are left with:
ln (n) = k * t
k = ln (n) / t
replacing we have:
k = ln (2) / t = 0.693 / 8
k = 0.0866
If we take this to a percentage it would be 0.0866 * 100 = 8.66%
Therefore the answer is B.
The inverse of the given function is y = x³ + 2
<h3>Finding inverse of a radical function</h3>
Given the radical function below expressed as;
f(x) = ∛x-2
This can be written as;
y = ∛x-2
Replace y with x
x = ∛y-2
Take the cube of both sides
x³ =y - 2
y = x³ + 2
Hence the inverse of the given function is y = x³ + 2
Learn more on inverse of a function here: brainly.com/question/3831584
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