Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
Step-by-step explanation:
% calculations are totally easy, if you remember to always find and the use 1%.
100% = $2.85
1% = 100%/100 = 2.85/100 = 0.0285
the price difference was
2.91 - 2.85 = $0.06
how many % are these $0.06 compared to yesterday's price ?
that is how many times 1% can fit into this number.
0.06 / 0.0285 = 2.105263158...%
so, rounded this is 2.1%
Hello :
<span> the axis of symmetry is the line for equation : x = 2
the </span><span>vertex is the point : A (2 , 4)</span>
1/4 or 4/8 or 5/10
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