document.write( "Question 73827: Here is the second question can you help me again? A commonly asked question is, \"How long will it take to double money?\" At 10% interest rate and continous compounding, what is the answer? Round to the hundredth's place. \n" ); document.write( "
Algebra.Com's Answer #52836 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Here is the second question can you help me again? A commonly asked question is, \"How long will it take to double money?\" At 10% interest rate and continous compounding, what is the answer? Round to the hundredth's place. \n" ); document.write( ": \n" ); document.write( "The continuous interest equation: \n" ); document.write( "P*e^(r*t) = A \n" ); document.write( ": \n" ); document.write( "Make it easy, let P = 1, then A = 2, r = .1; find t \n" ); document.write( "e^.1t = 2 \n" ); document.write( ": \n" ); document.write( "Find ln of both sides: \n" ); document.write( ".1t = ln(2); (remember ln of e is 1) \n" ); document.write( ": \n" ); document.write( ".1t = .6931472 \n" ); document.write( "t = .6931472/.1 \n" ); document.write( "t = 6.93 yrs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check using a calc: \n" ); document.write( "e^(.1*6.93) \n" ); document.write( "e^(.693) = 1.9997, slightly lower because we rounded it off. \n" ); document.write( ": \n" ); document.write( "How about this? Did it make sense to you? \n" ); document.write( " |