document.write( "Question 391699: what interest rate compounded daily is required for a $22,000 investment to grow to $36,500 in 5 years? \n" ); document.write( "
Algebra.Com's Answer #277982 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"A=P%281%2Br%2Fn%29%5E%28n%2At%29\" Start with the compound interest formula\r
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\n" ); document.write( "\n" ); document.write( "\"36000=22000%281%2Br%2F365%29%5E%28365%2A5%29\" Plug in \"A=36000\", \"P=22000\", \"n=365\" and \"t=5\".\r
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\n" ); document.write( "\n" ); document.write( "\"36000=22000%281%2Br%2F365%29%5E%281825%29\" Multiply \"365\" and \"5\" to get \"1825\".\r
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\n" ); document.write( "\n" ); document.write( "\"36000%2F22000=%281%2Br%2F365%29%5E%281825%29\" Divide both sides by \"22000\".\r
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\n" ); document.write( "\n" ); document.write( "\"1.63636363636364=%281%2Br%2F365%29%5E%281825%29\" Evaluate \"36000%2F22000\" to get \"1.63636363636364\".\r
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\n" ); document.write( "\n" ); document.write( "\"root%281825%2C1.63636363636364%29=1%2Br%2F365\" Take the 1825th root of both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"1.00026988654164=1%2Br%2F365\" Take the 1825th root of \"1.63636363636364\" to get \"1.00026988654164\".\r
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\n" ); document.write( "\n" ); document.write( "\"1.00026988654164-1=r%2F365\" Subtract 1 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"0.00026988654164195=r%2F365\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"365%2A0.00026988654164195=r\" Multiply boths sides by \"365\" to isolate \"r\".\r
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\n" ); document.write( "\n" ); document.write( "\"0.0985085876993119=r\" Multiply \"365\" and \"0.00026988654164195\" to get \"0.0985085876993119\".\r
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\n" ); document.write( "\n" ); document.write( "\"r=0.0985085876993119\" Rearrange the equation.\r
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\n" ); document.write( "\n" ); document.write( "\"r=0.0985\" Round to the nearest ten-thousandth.\r
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\n" ); document.write( "\n" ); document.write( "So the interest rate is 9.85% (multiply by 100 to convert to a percentage)\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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