document.write( "Question 1025841: I am stuck at this question, please help me.
\n" ); document.write( "How long will it take an investment of $5,000 to double if the investment earns interest at the rate of 8% compounded continuously? Round your answer to two decimal places.
\n" ); document.write( "

Algebra.Com's Answer #641142 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
How long will it take an investment of $5,000 to double if the investment earns interest at the rate of 8% compounded continuously? Round your answer to two decimal places.
\n" ); document.write( "----
\n" ); document.write( "A(t) = P*e^(rt)
\n" ); document.write( "----
\n" ); document.write( "2P = P*e^(0.08*t)
\n" ); document.write( "-----
\n" ); document.write( "e^(0.08t) = 2
\n" ); document.write( "------
\n" ); document.write( "0.08t = ln(2)
\n" ); document.write( "----------------
\n" ); document.write( "t = ln(2)/0.08 = 8.66 years
\n" ); document.write( "---------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "---------------
\n" ); document.write( "
\n" ); document.write( "
\n" );