document.write( "Question 419618: how long does it take $50 to grow to $200 invested at 4% compounded monthly \n" ); document.write( "
Algebra.Com's Answer #293405 by nerdybill(7384)\"\" \"About 
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A = P(1 + r/n)^(nt)
\n" ); document.write( "where
\n" ); document.write( "A is amount after time t
\n" ); document.write( "P is initial amount
\n" ); document.write( "r is interest rate
\n" ); document.write( "n is times compounded
\n" ); document.write( "t is time
\n" ); document.write( ".
\n" ); document.write( " how long does it take $50 to grow to $200 invested at 4% compounded monthly
\n" ); document.write( ".
\n" ); document.write( "A is 200
\n" ); document.write( "P is 50
\n" ); document.write( "r is .04
\n" ); document.write( "n is 12
\n" ); document.write( "t is what we're solving for
\n" ); document.write( ".
\n" ); document.write( "A = P(1 + r/n)^(nt)
\n" ); document.write( "\"+200+=+50%281+%2B+.04%2F12%29%5E%2812t%29+\"
\n" ); document.write( "\"+4+=+%281+%2B+.04%2F12%29%5E%2812t%29+\"
\n" ); document.write( "\"+4+=+%281.0033%29%5E%2812t%29+\"
\n" ); document.write( "\"+log%281.0033%2C4%29+=+12t+\"
\n" ); document.write( "\"+log%284%29%2Flog%281.0033%29+=+12t+\"
\n" ); document.write( "\"+log%284%29%2F%2812%2Alog%281.0033%29%29+=+t+\"
\n" ); document.write( "\"+t+=+34.72+\" years
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