document.write( "Question 125452: Got a question regarding an equation for a survival rate/average duration for an unemployment insurance claimant. \r
\n" ); document.write( "\n" ); document.write( "Basically I've got \r
\n" ); document.write( "\n" ); document.write( "D - The average duration of weeks of a UI claimant.
\n" ); document.write( "S - The week to week survival rate of claimants.
\n" ); document.write( "p - The Average potential duration that an individual may claim.\r
\n" ); document.write( "\n" ); document.write( "To solve for duration I have this equation:\r
\n" ); document.write( "\n" ); document.write( "D = (1-S^p)/(1-S)\r
\n" ); document.write( "\n" ); document.write( "or as far as I've been able to go:\r
\n" ); document.write( "\n" ); document.write( "D - (-S^p + 1)/(-S + 1) = 0\r
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\n" ); document.write( "\n" ); document.write( "Anyone have any input on this? It would be much appreciated!
\n" ); document.write( "Thanks,
\n" ); document.write( "Kevin
\n" ); document.write( "
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Algebra.Com's Answer #91934 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
Not sure if this is really going to answer the mail, but here is what I would do:\r
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\n" ); document.write( "\n" ); document.write( "\"D+=+%281-S%5Ep%29%2F%281-S%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"D%281-S%29=1-S%5Ep\"\r
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\n" ); document.write( "\n" ); document.write( "\"-1%2BD-DS=-S%5Ep\"\r
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\n" ); document.write( "\n" ); document.write( "\"1-D%2BDS=S%5Ep\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2C1-D%2BDS%29=log%2810%2CS%5Ep%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2C1-D%2BDS%29=p%2Alog%2810%2CS%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2C1-D%2BDS%29%2Flog%2810%2CS%29=p\"\r
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