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:
The points when graphed are: (3,0) and (0,-5)
Step-by-step explanation:
I know that these points are a solution to the graph because it has one x value and one y value that stays constant.
For an example, if we used an X and Y table we could see that each variable has one other variable.
This is how it look like when graphed:
2x-5=25
Add 5 to both sides
2x-5+5=25+5
2x=30
Now, divide both sides to find x
2x/2=30/2
x=15
Nathan is 15 years old
To find Tasha's age, subtract 25 and 15
Therefore, Tasha is 10 years old
Hope I helped!
Answer:
The waiter earns $7 per hour
Step-by-step explanation:
In this question, we are asked to calculate the amount a waiter earns per hour at work given the total he had earned including tips.
To solve this question, we can see that we have been given the total amount he has earned and also the amount he has also earned in tips.
Now, to get the standard amount he’s supposed to earn per hour, firstly, we have to subtract the amount he has earned in tips from the total. Mathematically that is 128-86 = $42
This means, by standard he has earned $42 in six hours. Now, we need to calculate the amount she earns by hour.
To do this, we simply divide the total amount earned by the number of hours.
Mathematically that is $42/6 hours = $7 per hour
Answer:
1200 ft²
Step-by-step explanation:
We assume that we want the total surface area, which includes the curving sides and the flat ends.
1. Curving sides: We are actually finding the area of a flat piece of material whose length is C = 2πr and whose width is the height of the cylinder, h. Then this side area is A = 2πrh. Here, that area is
A = 2π(15 ft)(25 ft) = 750π ft²
2. Ends: The end area is A = πr², and there are two ends.
The total area of the ends is A = 2πr², which here is A = 2π(15 ft)², or
A = 450π ft².
Thus, the total exact surface area of this cylinder is
A = 450π ft² + 750π ft² = 1200 ft²
