document.write( "Question 1104551: Please help me solve this word problem:\r
\n" ); document.write( "\n" ); document.write( "in 1991, the average cost of attending a public university through graduation. Was $20,972. If johns parents deposited that amount in an account in 1991 at an interest rate of 7% compounded semi-annually, how long will it take for the money to double? Round answer to two decimals.
\n" ); document.write( "

Algebra.Com's Answer #720199 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
P=Po(1+r/2)^2t, t is years
\n" ); document.write( "Any amount to double is where P=2Po
\n" ); document.write( "so 2=(1+0.035)^2t
\n" ); document.write( "ln2=2t ln(1.035)
\n" ); document.write( "2t=ln 2/ln (1.035)
\n" ); document.write( "t=10.07 years
\n" ); document.write( "as a rough check, the rule of 72 would predict 10.29 years.
\n" ); document.write( "
\n" );