document.write( "Question 48216: This is not an exact number in my book it is on a worksheet , “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.? Please show how you got your answer \n" ); document.write( "
Algebra.Com's Answer #31901 by stanbon(75887) ![]() You can put this solution on YOUR website! At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place\r \n" ); document.write( "\n" ); document.write( "A = Pe^(rt) \n" ); document.write( "Doubling the money means A= 2P since P is the amount you start with.\r \n" ); document.write( "\n" ); document.write( "2P = Pe^rt \n" ); document.write( "2 =2^(0.08t) \n" ); document.write( "Take the natural log of both sides to get: \n" ); document.write( "ln2 = 0.08t \n" ); document.write( "t= (ln2)/0.08 \n" ); document.write( "t=8.66 years(The money will double in 8.66 years)\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |