document.write( "Question 210740: Solve the problem.\r
\n" );
document.write( "\n" );
document.write( "Suppose that $7000 is invested in an account where interest is compounded continuously at 3.2% per year. What is the doubling time?
\n" );
document.write( "
\n" );
document.write( "A)4.6 yr
\n" );
document.write( "B)21.7 yr
\n" );
document.write( "C)2.2 yr
\n" );
document.write( "D)0.2 yr \n" );
document.write( "
Algebra.Com's Answer #159231 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the problem. \n" ); document.write( "Suppose that $7000 is invested in an account where interest is compounded continuously at 3.2% per year. What is the doubling time? \n" ); document.write( "------------------------ \n" ); document.write( "A(t) = P*e^(rt) \n" ); document.write( "For doubling time: \n" ); document.write( "2P = P*e^(rt) \n" ); document.write( "e^rt = 2 \n" ); document.write( "----- \n" ); document.write( "Your problem: \n" ); document.write( "e^(0.032t) = 2 \n" ); document.write( "Take the natural log of both sides to get: \n" ); document.write( "0.032t = ln(2) \n" ); document.write( "t = [ln(2)]/0.032 \n" ); document.write( "t = 21.66 years \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \r \n" ); document.write( "\n" ); document.write( "A)4.6 yr \n" ); document.write( "B)21.7 yr \n" ); document.write( "C)2.2 yr \n" ); document.write( "D)0.2 yr \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |