document.write( "Question 1103814:
\n" ); document.write( "How long​ (in years and​ months) will it take for an investment to double at
\n" ); document.write( "9
\n" ); document.write( "9​% compounded​ monthly?
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Algebra.Com's Answer #718523 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The annual interest rate is 9%, or 0.09; the monthly interest rate is 0.09/12 = 0.0075. The monthly growth factor is then 1+.0075 = 1.0075.

\n" ); document.write( "We want to know how many months it takes for the overall growth factor to be 2, so that the original investment doubles.

\n" ); document.write( "\"%281.0075%29%5En+=+2\"
\n" ); document.write( "\"n%2Alog%281.0075%29+=+log%282%29\"
\n" ); document.write( "\"n+=+log%282%29%2Flog%281.0075%29+=+92.77\"

\n" ); document.write( "It will take 93 months for the investment to double in value; or, in years and months, 7 years and 9 months.
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