Hi,
Enjoy the .002 - it goes down from there.
e^(iπ) = -1
and
∞
∑ 1/2^n is the summation of all terms 1/2 + 1/4 + 1/8 + 1/16 +
n=1
1/32 + 1/64 +... forever and this equals 1.
So your check is worth .002 + (-1) + 1 = .002
Don't spend it all in 1 place!!
I hope that helps!! :-)
2007-07-23 08:44:51
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answer #1
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answered by Pi R Squared 7
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Verizon Math Check
2016-12-14 16:04:48
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answer #2
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answered by Anonymous
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e^i*pi = -1 The Sigma 1 to infinity 1/2^n =1
So the total valuee of the check is .002 dollars.
e is the base of Napierian logarithms
i = sqrt(-1)
pi = ratio of circumference of a circle to its diameter
the 8 turned 90 degrees is the symbol for infinity
E with n =1 on bottom and infinity symbol on top syas to find the sum of the sequence from 1 to infinity of 1/2^n
2007-07-23 08:48:48
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answer #3
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answered by ironduke8159 7
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e^(i*pi) is notation for complex numbers. It is the complex number that corresponds to an angle of 180 degrees (pi radians) on the unit circle.
e^(i*pi) = -1
0.002 is 2/10 of a cent
The Sum, as n grows from 1 to infinity of 1/2^n is 1/2 + 1/4 + 1/8 + 1/16...
and it is equal to 1.
So 2/10 of a cent, minus one dollar plus one dollar.
Total 2/10 of a cent.
2007-07-23 08:42:45
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answer #4
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answered by Raymond 7
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I've seen this check before ....
The 0.002 is self-evident
e is called "euler's number". Euler was a very famous mathematician and is famous for his formula,
e ^ (i x) = cos x + i sin x
where i is the square root of -1.
So on this check
e ^ (i pi) is -1
The capital Sigma is a summation formula, called a geometric series. It converges to 1.
The check is made out for $0.002
2007-07-23 08:46:22
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answer #5
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answered by mathgoddess83209 3
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Well, the check is for:
0.002 plus e raised to (pi times i) power plus the sum of 1 over two raised to the n power for n equals 1 to infinity.
I haven't sat in a calc clas for a while, I don't remember how to integrate 1 / (2^n) nor do I remember how to evaluate e^i but e is approximately equal to 2.7
2007-07-23 08:43:48
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answer #6
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answered by DrDebate 4
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that's a simultaneous equation subject. permit x: person, y: infants x+y=one hundred (a million) 50x+30y=3180 (2) ought to sparkling up the above 2 equations. Rearranging the 1st one: x=one hundred-y (3) changing equation (3) in (2): 50(one hundred-y)+30y=3180 (4) Simplifying (4) provides: 5000-50y+30y=3180 and that's comparable to -20y=-1820 y=-1820/-20=ninety one changing y in (3) provides x=one hundred-ninety one=9 for this reason, no. of person is 9 and no. of infants is ninety one.
2016-12-10 19:41:42
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answer #7
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answered by ? 4
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