document.write( "Question 221415: P dollars is invested at annual interest r for 1 year. If the interest is compounded semiannually, then the polynominal P ( 1 + r/2) ^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynominal if p= 200 r=10%\r
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Algebra.Com's Answer #166069 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"P%281%2Br%2F2%29%5E2\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"P%281%2Br%2F2%29%281%2Br%2F2%29\" Expand\r
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\n" ); document.write( "\n" ); document.write( "\"P%281%2A1%2B1%2A%28r%2F2%29%2B%28r%2F2%29%2A1%2B%28r%2F2%29%28r%2F2%29%29\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"P%281%2Br%2F2%2Br%2F2%2Br%5E2%2F4%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"P%281%2B2r%2F2%2Br%5E2%2F4%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"P%281%2Br%2Br%5E2%2F4%29\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "\"P%2BPr%2BPr%5E2%2F4\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"200%2B200%2A0.1%2B%28200%2A0.1%5E2%29%2F4\" Plug in \"P=200\" and \"r=0.1\" (the decimal equivalent of 10%).\r
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\n" ); document.write( "\n" ); document.write( "\"200%2B200%2A0.1%2B%28200%2A0.01%29%2F4\" Square 0.1 to get 0.01\r
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\n" ); document.write( "\n" ); document.write( "\"200%2B20%2B2%2F4\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"200%2B20%2B0.5\" Divide\r
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\n" ); document.write( "\n" ); document.write( "\"220.5\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"P%2BPr%2BPr%5E2%2F4=220.5\" when \"P=200\" and \"r=0.1\"\r
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\n" ); document.write( "\n" ); document.write( "This also means that \"P%281%2Br%2F2%29%5E2=220.5\" when \"P=200\" and \"r=0.1\"
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