document.write( "Question 1130471: Find the numbers of years, to the nearest hundredth, it will take for money deposited in an account paying 6% compounded monthly to double. \n" ); document.write( "
Algebra.Com's Answer #747140 by ikleyn(52915)\"\" \"About 
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document.write( "FV = \"P%2A%281%2B0.06%2F12%29%5E%2812%2An%29\",\r\n" );
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document.write( "where FV is the future value;  P is the principal deposit;  n is the number of years.\r\n" );
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document.write( "In out case  FV = 2P,   so\r\n" );
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document.write( "2 = \"%281%2B0.005%29%5E%2812n%29\" = \"1.005%5E%2812n%29\"\r\n" );
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document.write( "log(2) = 12n*log(1.005)\r\n" );
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document.write( "n = \"log%28%282%29%29%2F%2812%2Alog%28%281.005%29%29%29\" = 11.58 years.\r\n" );
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document.write( "Answer.  Approximately 11 years and 7 months.  12 years is totally enough.\r\n" );
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