document.write( "Question 1138321: How quickly will money triple if it is invested at 7% interest compounded continuously? \n" ); document.write( "
Algebra.Com's Answer #756157 by MathLover1(20850)\"\" \"About 
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The compound interest formula is:
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\n" ); document.write( "\"A+=+Pe%5E%28rt%29\"
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\n" ); document.write( "Where \"A\" is the current value, \"P\" is the initial investment, \"r\" is the rate, and \"t\" is time.
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\n" ); document.write( "If an investment \"triples\", that means \"A\" is currently equal to \"3%2AP\"
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\n" ); document.write( "Your interest rate is \"r=7\"%, or, \"r=0.07\"
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\n" ); document.write( "So
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\n" ); document.write( "\"3P+=+Pe%5E%280.07t%29\"....simplify, both sides divide by \"P\"
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\n" ); document.write( "\"3+=+e%5E%280.07t%29\"......take natural logarithm
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\n" ); document.write( "\n" ); document.write( "\"ln%283%29+=ln%28+e%5E0.07t%29\"
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\n" ); document.write( "\n" ); document.write( "\"ln%283%29+=+0.07t%2Aln%28+e%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"0.07t=ln%283%29+%2F++ln%28+e%29\"......\"ln%28+e%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"0.07t=ln%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"t+=+ln%283%29%2F0.07\"
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\n" ); document.write( "\n" ); document.write( "\"t+=15.7\" years\r
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