document.write( "Question 593328: You are investing money at 8.5 percent annual interest, compounded continuously. It will take you how many years to double your investment. \n" ); document.write( "
Algebra.Com's Answer #376283 by jim_thompson5910(35256)\"\" \"About 
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Let P be the amount initially invested. Since we want this investment to double, the final amount is A = 2P\r
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\n" ); document.write( "\n" ); document.write( "One other thing to keep in mind is that the rate 8.5% means r = 0.085\r
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\n" ); document.write( "\n" ); document.write( "So plug A = 2P and r = 0.085 into \"A+=+Pe%5E%28rt%29\" and then solve for t\r
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\n" ); document.write( "\n" ); document.write( "\"A+=+Pe%5E%28rt%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2P+=+P%2Ae%5E%280.085t%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2P%2FP+=+e%5E%280.085t%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2+=+e%5E%280.085t%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%282%29+=+ln%28e%5E%280.085t%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%282%29+=+0.085t%2Aln%28e%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%282%29+=+0.085t%2A%281%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%282%29+=+0.085t\"\r
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\n" ); document.write( "\n" ); document.write( "\"ln%282%29%2F0.085+=+t\"\r
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\n" ); document.write( "\n" ); document.write( "\"0.693147180559945%2F0.085+=+t\"\r
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\n" ); document.write( "\n" ); document.write( "\"8.15467271246994+=+t\"\r
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\n" ); document.write( "\n" ); document.write( "\"t+=+8.15467271246994\"\r
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\n" ); document.write( "\n" ); document.write( "So it will take you roughly 8.15 years to double your investment.\r
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\n" ); document.write( "\n" ); document.write( "If your answer must be a whole number of years, then round up to 9 years.
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