document.write( "Question 1137562: At what rate do you need to invest money into a bank account earning continuously compounded interest if you want to double your money in 30 months? \n" ); document.write( "
Algebra.Com's Answer #755440 by ikleyn(52777)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "30 months = 2.5 years.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"P%2Ae%5E%28r%2A2.5%29\" = 2*P,   where P is the principal.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.5*r = ln(2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "r = \"ln%282%29%2F2.5\" = 0.2773 = 27.73%\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  0.2773,  or  27.73% annual interest rate compounded continuously.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );