document.write( "Question 982559: How long will it take for an investment to double in value, if the annual interest rate is 10% and interest is compounded every 6 months? Leave your answer in terms of a logarithun, if necessary. \n" ); document.write( "
Algebra.Com's Answer #603379 by josgarithmetic(39617)\"\" \"About 
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5% rate each compounding period.
\n" ); document.write( "1+0.05=1.05 rate or factor for 1 period which is 6 months.\r
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\n" ); document.write( "\n" ); document.write( "p, initial invested
\n" ); document.write( "n, count of compounding periods (which is a six month time)
\n" ); document.write( "\"y=p%281.05%29%5En\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2A1.05%5En=2\", doubling the investment;
\n" ); document.write( "find logarithm of each side...\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2C%281.05%29%5En%29=log%2810%2C2%29\"
\n" ); document.write( "\"n%2Alog%2810%2C1.05%29=log%2810%2C2%29\"
\n" ); document.write( "\"highlight%28n=log%2810%2C2%29%2Flog%2810%2C1.05%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "and then \"n%281%2F2%29\" YEARS
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