document.write( "Question 1182420: How long will it take $3,000 to grow to $14,000 if it is invested at 5% compounded monthly?\r
\n" ); document.write( "\n" ); document.write( "How many years?
\n" ); document.write( "

Algebra.Com's Answer #853597 by CPhill(2189)\"\" \"About 
You can put this solution on YOUR website!
Find number of years
\n" ); document.write( "Principal P = 3000
\n" ); document.write( "Amount= 14000
\n" ); document.write( "years=n
\n" ); document.write( "compounded (t) 12
\n" ); document.write( "Rate = 5 0.004166667
\n" ); document.write( "Amount = P*((n+r)/n)^n\r
\n" ); document.write( "\n" ); document.write( "14000 = 3000 *( 1 + 0.004166667 )^ n*t
\n" ); document.write( "4.666666667 = *( 1 + 0.004166667 )^ n* 12
\n" ); document.write( "log 4.666666667 = 12 n *log 1.004166667
\n" ); document.write( "1.540445041 = 12 0.00415801 *n
\n" ); document.write( "30.87 = n
\n" ); document.write( "30.87 years
\n" ); document.write( "
\n" );