document.write( "Question 549804: Angela currently has an account balance of $4,298.55. She opened the account 15 years ago with a deposit of $1,987.22. If the interest compounds monthly, what is the interest rate on the account? \n" ); document.write( "
Algebra.Com's Answer #358080 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( "\"4298.55=1987.22%281%2Br%2F12%29%5E%2812%2A15%29\" Plug in \"A=4298.55\", \"P=1987.22\", \"n=12\" and \"t=15\".\r
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\n" ); document.write( "\n" ); document.write( "\"4298.55=1987.22%281%2Br%2F12%29%5E%28180%29\" Multiply \"12\" and \"15\" to get \"180\".\r
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\n" ); document.write( "\n" ); document.write( "\"4298.55%2F1987.22=%281%2Br%2F12%29%5E%28180%29\" Divide both sides by \"1987.22\".\r
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\n" ); document.write( "\n" ); document.write( "\"2.16309719105081=%281%2Br%2F12%29%5E%28180%29\" Evaluate \"4298.55%2F1987.22\" to get \"2.16309719105081\".\r
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\n" ); document.write( "\n" ); document.write( "\"root%28180%2C2.16309719105081%29=1%2Br%2F12\" Take the 180th root of both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"1.00429553882184=1%2Br%2F12\" Take the 180th root of \"2.16309719105081\" to get \"1.00429553882184\".\r
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\n" ); document.write( "\n" ); document.write( "\"1.00429553882184-1=r%2F12\" Subtract 1 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"0.00429553882183731=r%2F12\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"12%2A0.00429553882183731=r\" Multiply boths sides by \"12\" to isolate \"r\".\r
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\n" ); document.write( "\n" ); document.write( "\"0.0515464658620477=r\" Multiply \"12\" and \"0.00429553882183731\" to get \"0.0515464658620477\".\r
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\n" ); document.write( "\n" ); document.write( "\"r=0.0515464658620477\" Rearrange the equation.\r
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\n" ); document.write( "\n" ); document.write( "\"r=0.0515\" Round to the nearest ten-thousandth.\r
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\n" ); document.write( "\n" ); document.write( "So the interest rate is 5.15% (multiply by 100 to convert to a percentage)
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