document.write( "Question 390755: hello I just have a question I have been struggling with and was wonderinf if somebody could please help me with it. The question is\r
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document.write( "determine the time it takes to double an investment in an account that pays an interest of 4% per annum, compounded quarterly.\r
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document.write( "Thankyou so much! \n" );
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Algebra.Com's Answer #277103 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! determine the time it takes to double an investment in an account that pays an interest of 4% per annum, compounded quarterly. \n" ); document.write( "====== \n" ); document.write( "Let's say you invest \"x\" dollars at 4%. \n" ); document.write( "Doubling will give you \"2x\" dollars. \n" ); document.write( "--- \n" ); document.write( "Formula: \n" ); document.write( "2x = x(1+(0.04/4))^(4t) where t is the number of years. \n" ); document.write( "--- \n" ); document.write( "2 = (1+0.01)^4t \n" ); document.write( "--- \n" ); document.write( "Take the log of both sides and solve for \"t\": \n" ); document.write( "4t*log(1.01) = log2 \n" ); document.write( "--- \n" ); document.write( "4t = log(2)/log(1.01) \n" ); document.write( "--- \n" ); document.write( "4t = 69.66 \n" ); document.write( "--- \n" ); document.write( "t = 17.42 years \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================ \n" ); document.write( " |