Attention Hackers!!

The energy use to manipulate this website will be harnessed, stored and then shared by millions.  Ergo, don't bother.

COMPOSE YOUR OWN SERIES from my skillset

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Question: Use the fraction bar method for at least two iterations to determine the cost per minute for a $10 pre-paid cell phone card that gives 35 nationwide whenever minutes.  Round to the nearest millionth, then model the entire process or create an analytical expression for this fraction bar method and two iterations.

Answer:
Analytical Model
Let yt = cost in t minutes,
Let t = time in whole minute increments where 0< t <_35, thus y1 = [(y35/7)/5]
Or via 2 iterations say for instance: [eq1] y5 = y35/7       [eq2] y1 = (y5/5)
Or via  generic amount of iterations yt = [y35/(35/t)]

Fraction Bar Model    

cost        
 10               1.428571    0.285714
minutes  
35 minutes
 5 minutes  
1 minute 
 

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Clean Energy Industry quantity supply and demand formulas:

 
Qd2009 = .131S2009
Supply 2009 = Total Consumption 2009
TC = .20Electricity + .03Oil + .77other
Source: www.iea.org
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Question: Evaluate f(x,y) = exy

Answer:

 fx = yexy

 fxx = y2exy

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QUESTION: Extrapolate a metric for the following articulation / analytical expression of a donut display amongst other cookies, cakes and muffins:

System or small Network or maybe even a Mini - program;

{3/4 such that R,

X bar or Bold X such that ith > 1, jth > 1,

 1, such that R} of 3/6

and

(3/6 + 4/6) of 4/6

ANSWER: 7/9 +3/6 +3/8 +.5(Xbar or bold X)

ERGO 1.652778 + .5(bold X)

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The NYC/NYS DOE pedagogy for Mathematics is to have students develop a rule after 3 iterations or with at least 3 data points.  However, my financial risk engineering classes state the following:

E{(a hat-a)^2} = sigma^2(E(Xi^2) / nE(xi - xbar)^2)

Go figure!

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