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What is the most efficient way to solve a problem

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Is there an efficient way to solve this problem?
http://blogs.ft.com/undercover/2008/09/dear-economist-do-olympic-judges-need-a-profit-motive/
In a sport whose entire aim is to win the approval of the judges, error is unavoidable. Yet (as the sports economist Stefan Szymanski reminds me) there is a trade-off here between two sorts of error: bias and variance. The decision to use d...
What is the most cost-efficient way to cushion this problem??
http://www.kstan.net/s/keyman.htm#cost
Due recognition must be given to this aspect of the business and every organization must therefore take the necessary steps to minimize the loss of key persons as a result of death or permanent disability. The simplest and most cost-efficie...
Is a housing supplement to the EITC an effective and efficient wa...?
http://www.nhi.org/online/issues/151/creditdue.html
To state the obvious, increasing the amount of money that families receive through the EITC will give them more income, and thereby reduce housing costs as a share of income (or enable families to move to better housing). The anti-poverty p...

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What kind of software solves street problems such as; Most efficient way to plow a neighborhood?
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A: Take matrix math and know why Markov was so smart.
What is the most efficient method of solving this mathematical problem? 25 X ?^50 = 1300?
Q: I am trying to work out the the interest rate required to turn £25 in 1300 in 50 years. The interest is compounded so please dont simply post the average rate. I know there is a simple method for calculating this but cannot remember what it is!Many Thanks
A: what's the compounding interval? the general compound interest formula is:1300 = 25(1 + r/n) ^(50n) (where n is the number of compounding intervals per year)assuming that n = 1, then1300 = 25(1 + r)^(50)52 = (1 + r)^50tak the 50th root of both sides:52^(1/50) = 1 + rr = 52^(1/50) - 1r will be the annual interest rate as a decimal-- .0822this corresponds to 8.22% APRif it compounds more than once a year, just replace n with the number of compounding intervals ex: daily compounding ==> n = 3651300 = 25(1 + r/365)^(50 * 365)52 = (1 + r/365) ^(50 * 365) since 50 * 365 = 18250, you'll have to take the 18250th root of both sides52^(1/18250) = 1 + r/365now subtract 152^(1/18250) - 1 = r / 365and multiply by 365365(52^(1/18250) - 1) = .079, or 7.90%the daily compounding allows for a slightly lower APR to achieve the goaland what the heck...for continuous compounding:1300 = 25e^(50r)52 = e^(50r)okay, now you do need logs!ln 52 = 50rr = (ln 52)/50r = .0790, or 7.90%-- not a whole log of difference between daily and continuous compounding over those 50 years!
Why can't we solve the high gas price problem with more efficient cars? Surely engineers can design them.
Q: If we could double or triple gas mileage, prices would fall, and our country would boom.
A: because of high price in world market
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