document.write( "Question 1137954: Find the length of time required for an investment of $1500 to amount to $2000 at rate of 8% per year compounded quarterly. Use the equation below your answer\r
\n" ); document.write( "\n" ); document.write( "A=P(1+i)^n where p is the principal, n is the number of conversion periods\r
\n" ); document.write( "\n" ); document.write( "At the rate of interest per conversion period, and is the number of conversion periods
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Algebra.Com's Answer #755817 by ikleyn(52834)\"\" \"About 
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document.write( "2000 = \"1500%2A%281%2B0.08%2F4%29%5E%284%2At%29\"   where t is the time in years  ====>\r\n" );
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document.write( "\"2000%2F1500\" = \"%281%2B0.02%29%5E%284%2At%29\"  ====>\r\n" );
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document.write( "\"4%2F3\" = \"1.02%5E%284%2At%29\"\r\n" );
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document.write( "\"1.02%5E%284%2At%29\" = \"4%2F3\"  ====>\r\n" );
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document.write( "4t*log(0.02) = \"log%28%284%2F3%29%29\" = 0.124939\r\n" );
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document.write( "t = \"0.124939%2F%284%2Alog%28%281.02%29%29%29\" = 3.63 years. \r\n" );
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document.write( "ANSWER.  Counting in quarters, 3 years and 9 months is enough.\r\n" );
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