document.write( "Question 1048483: If Tanisha has $100 to invest at 8% per annum compounded monthly,
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Algebra.Com's Answer #664103 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
If Tanisha has $100 to invest at 8% per annum compounded monthly,
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document.write( "\"A\"\"%22%22=%22%22\"\"P%281%2Br%2Fn%29%5E%28nt%29\"\r\n" );
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document.write( "\"200\"\"%22%22=%22%22\"\"100%281%2B0.08%2F12%29%5E%2812t%29\"\r\n" );
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document.write( "Divide both sides by 100\r\n" );
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document.write( "\"2\"\"%22%22=%22%22\"\"%281%2B0.08%2F12%29%5E%2812t%29\"\r\n" );
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document.write( "Take natural logs of both sides:\r\n" );
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document.write( "\"ln%282%29\"\"%22%22=%22%22\"\"ln%28%281%2B0.08%2F12%29%5E%2812t%29%29\"\r\n" );
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document.write( "Use the principle of logs to change an exponent\r\n" );
document.write( "to a coefficient:\r\n" );
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document.write( "\"ln%282%29\"\"%22%22=%22%22\"\"12t%2Aln%281%2B0.08%2F12%29\"\r\n" );
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document.write( "\"ln%282%29%2F%2812ln%281%2B0.08%2F12%29%29\"\"%22%22=%22%22\"\"t\"\r\n" );
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document.write( "\"8.693188906\"\"%22%22=%22%22\"\"t\"\r\n" );
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document.write( "In 8 years and 8 months she will have a little less than $200.\r\n" );
document.write( "In 8 years and 9 months she will have a little more than $200.\r\n" );
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\n" ); document.write( "If the compounding is continuous, how long will it be?
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document.write( "\"A\"\"%22%22=%22%22\"\"Pe%5E%28rt%29\"\r\n" );
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document.write( "\"200\"\"%22%22=%22%22\"\"100e%5E%280.08t%29\"\r\n" );
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document.write( "Divide both sides by 100\r\n" );
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document.write( "\"2\"\"%22%22=%22%22\"\"e%5E%280.08t%29\"\r\n" );
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document.write( "Take natural logarithms of both sides\r\n" );
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document.write( "\"ln%282%29\"\"%22%22=%22%22\"\"ln%28e%5E%280.08t%29%29\"\r\n" );
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document.write( "\"ln%282%29\"\"%22%22=%22%22\"\"0.08t\"\r\n" );
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document.write( "\"ln%282%29%2F0.08\"\"%22%22=%22%22\"\"t\"\r\n" );
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document.write( "\"8.664339757\"\"%22%22=%22%22\"\"t\"\r\n" );
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document.write( "In 8 years and 7 months she will have a little less than $200.\r\n" );
document.write( "In 8 years and 8 months she will have a little more than $200.\r\n" );
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document.write( "A little bit quicker with continuous compounding but there is\r\n" );
document.write( "very little difference.\r\n" );
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document.write( "Edwin
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