document.write( "Question 598432: how long will it take money to triple invested at 7.8% compounded weekly \n" ); document.write( "
Algebra.Com's Answer #378590 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! how long will it take money to triple invested at 7.8% compounded weekly \n" ); document.write( "** \n" ); document.write( "compound interest formula: \n" ); document.write( "A=P(1+r)^t, P=initial investment, r=interest rate per period, t=number of periods, A=amount after t periods. \n" ); document.write( ".. \n" ); document.write( "For given problem: \n" ); document.write( "A/P=3 \n" ); document.write( "r=.078/52=.0015 \n" ); document.write( "t=number of weeks \n" ); document.write( ".. \n" ); document.write( "A=P(1+r)^t \n" ); document.write( "A/P=(1+.0015)^t \n" ); document.write( "3=(1.0015)^t \n" ); document.write( "take log of both sides \n" ); document.write( "log(3)=t*log(1.0015) \n" ); document.write( "log(3)/log(1.0015)=t \n" ); document.write( "using log key on calculator \n" ); document.write( "t≈733 weeks or 14 years \n" ); document.write( " |