document.write( "Question 887207: Doubling time of an investment earning 2.5 interest if interest is compounded quarterly? \n" ); document.write( "
Algebra.Com's Answer #536453 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Doubling time of an investment earning 2.5% interest if interest is compounded quarterly? \n" ); document.write( "*** \n" ); document.write( "Compound interest formula: A=P(1+i)^n, P=initial investment, i=interest rate per compounding period, n=number of periods, A=amt after n-periods \n" ); document.write( "For given problem: \n" ); document.write( "A/P=(1+i)^n=2 \n" ); document.write( "i=.025/4=.00625 \n" ); document.write( "1+i=1.00625 \n" ); document.write( ".. \n" ); document.write( "1.00625^n=2 \n" ); document.write( "nlog(1.00625)=log(2) \n" ); document.write( "n=log(2)/log(1.00625) \n" ); document.write( "n≈111.25 periods \n" ); document.write( "n≈28 yrs \n" ); document.write( " |