In the 3-month period November 1, 2014, through January 31, 2015, Hess Corp. (HES) stock decreased from $80 to $64 per share, an
1 answer:
Answer: 170 HES and 90 XOM
Hi! Let's say you bought A HES shares, and B XOM shares. As you invested $22,240, yo have that:
(80 and 96 are the initial prices)
3 months later those prices decreased to 64 and 80, and you sold your shares at those prices, then:
This is a system of two linear equations and two unkowns A, B. You can solve it getting A from first equation:
And then replacing A into the second equation you can find the value of B. Then replacing B in the third equation you get A.
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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
Answer:
Step-by-step explanation:
zeroes are when you plug in that x value and get y=0
therefore if you set x = that number and solve for 0 you get a "function"
multiplying these together will yield the complete 3rd degree polynomial
x = 1
x-1=0
x=7
x-7=0
x=-4
x+4=0
If needed you could expand but I'm too lazy