document.write( "Question 1139014: If you deposit eight thousand pesos into an account paying seven percent annual interest compounded quarterly, how long until there is twelve thousand four hundred pesos in the account? \n" ); document.write( "
Algebra.Com's Answer #756810 by ikleyn(52796)\"\" \"About 
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document.write( "Let \"n\" be the number of quarter periods.\r\n" );
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document.write( "12400 = \"8000%2A%281%2B0.07%2F4%29%2An\",\r\n" );
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document.write( "\"12400%2F8000\" = \"%281%2B0.07%2F4%29%5En\"\r\n" );
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document.write( "1.55 = \"%281%2B0.07%2F4%29%5En\"\r\n" );
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document.write( "log(1.55) = n*log(1+0.07/4)\r\n" );
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document.write( "n = \"log%281.55%29%2Flog%28%281%2B0.07%2F4%29%29\" = 25.26 quarter periods.\r\n" );
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document.write( "ANSWER.  6 years and half of on year is enough.\r\n" );
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document.write( "CHECK.  \"8000%2A%281%2B0.07%2F4%29%2A26\" = 12.559.86 dollars.\r\n" );
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