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)\"\" \"About 
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how long will it take money to triple invested at 7.8% compounded weekly
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\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
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