Mrs. Varner deposited q dollars in a bank account that has been earning annual interest. The total value of the account is based
2 answers:
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Answer:
736 N
Step-by-step explanation:
The dimensions of the rectangular tile are:
Length = 2.3m
Width = 1.6m
The pressure exerted on a surface is given by the formula
where
p is the pressure
F is the force exerted
A is the area on which the force is exerted
In this problem, we have:
is the maximum pressure that the tile is able to sustain
A is the area of the tile, which can be calculated as the product between length and width, so:
Re-arranging the formula for F, we can find the maximum force that can be safely applied to the tile:
Answer:
5 trees should be planted to maximize the yield per acre,
The maximum yield would be 1250
Step-by-step explanation:
Given,
The original number of trees per acre = 20,
Average pounds of nuts by a tree = 60,
Let x be the times of increment in number of trees,
So, the new number of trees planted per acre = 20 + x
∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,
So, the new number of pounds of nut = (60 - 2x)
Thus, the total yield per acre,
Differentiating with respect to t ( time ),
Again differentiating with respect to t,
For maxima or minima,
⇒ 20 - 4x = 0
⇒ 20 = 4x
⇒ x = 5,
For x = 5, Y''(x) = negative,
Hence, Y(x) is maximum for x = 5,
And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,
i.e. 5 trees should be planted to maximize the yield per acre,
and the maximum yield would be 1250 pounds