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April 16th, 2018, 11:35 PM   #1
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At a certain rate of compound interest, money will double in x years, money will triple in y years, and money will increase tenfold in z years. At this same rate of compound interest, \$5 will increase to \$12 in n years. Find integers a, b, and c so that n = ax + by + cz.

Last edited by skipjack; April 17th, 2018 at 12:21 AM.
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April 17th, 2018, 12:32 AM   #2
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As $12/5 = 2^3\times3\times10^{-1}$, (a, b, c) = (3, 1, -1).
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