document.write( "Question 1083409: How long will it take money to triple if it is invested at the following​ rates?
\n" ); document.write( "​(A) 5.7​% compounded monthly
\n" ); document.write( "​(B) 12​% compounded monthly
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Algebra.Com's Answer #697398 by math_helper(2461)\"\" \"About 
You can put this solution on YOUR website!
\"+F+=+P+%2A+%281%2Br%2Fn%29%5E%28nt%29+\"\r
\n" ); document.write( "\n" ); document.write( "where:
\n" ); document.write( "F=future value
\n" ); document.write( "P=present value
\n" ); document.write( "r=rate (as a decimal)
\n" ); document.write( "n=number of compounding periods per year
\n" ); document.write( "t=number of years
\n" ); document.write( "————\r
\n" ); document.write( "\n" ); document.write( "(A): \"+3P+=+P%2A%281%2B0.057%2F12%29%5E%2812%28t%29%29+\"
\n" ); document.write( " \"+3+=+1.00475%5E%2812t%29+\"
\n" ); document.write( " \"+ln%283%29+=+12t%2A%28ln%281.00475%29%29+\"
\n" ); document.write( " \"+ln%283%29%2F%2812%2Aln%281.00475%29%29+=+t+\"
\n" ); document.write( " \"++t+=+19.3196+\" years —> \"+highlight%2819%29+\" years and \"+highlight%283.836%29+\" months.
\n" ); document.write( "—
\n" ); document.write( "(B): \"+3P+=+P%2A%281%2B+0.12%2F12%29%5E%2812%28t%29%29+\"
\n" ); document.write( " \"++3+=+1.01%5E%2812t%29+\"
\n" ); document.write( " \"++t+=+ln%283%29%2F%2812%2Aln%281.01%29%29+=+9.201+\" years —> \"+highlight%289%29+\" years and \"+highlight%282.41%29+\" months \r
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