document.write( "Question 616091: Find how long it takes for $1400 to double if it is invested at 3% interest compounded monthly.\r
\n" ); document.write( "\n" ); document.write( "using formula: A=P(1 + r/n) *nt
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Algebra.Com's Answer #387484 by nerdybill(7384)\"\" \"About 
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Find how long it takes for $1400 to double if it is invested at 3% interest compounded monthly.
\n" ); document.write( "using formula: A=P(1 + r/n)^(nt)
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\n" ); document.write( "P is 1400
\n" ); document.write( "A is 2800 (double P)
\n" ); document.write( "r is .03
\n" ); document.write( "n is 12 (times compounded per year)
\n" ); document.write( "t is what we're looking for
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\n" ); document.write( "plug it all in and solve for t:
\n" ); document.write( "\"A=P%281+%2B+r%2Fn%29%5E%28nt%29\"
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\n" ); document.write( "\"2800+=+1400%281+%2B+.03%2F12%29%5E%2812t%29\"
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\n" ); document.write( "\"2800+=+1400%281+%2B+0.0025%29%5E%2812t%29\"
\n" ); document.write( ".
\n" ); document.write( "\"2800+=+1400%281.0025%29%5E%2812t%29\"
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\n" ); document.write( "\"2+=+%281.0025%29%5E%2812t%29\"
\n" ); document.write( ".
\n" ); document.write( "\"log%281.0025%2C2%29+=+12t\"
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\n" ); document.write( "\"log%282%29%2Flog%281.0025%29+=+12t\"
\n" ); document.write( ".
\n" ); document.write( "\"log%282%29%2F12log%281.0025%29+=+t\"
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\n" ); document.write( "\"23.13+=+t\" (years)\r
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