document.write( "Question 159285: You invest $6000 in two accounts paying 9% and 6% anual interest. At the end of the year, the total interest from these investments was $480. How much was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #117432 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! You invest $6000 in two accounts paying 9% and 6% anual interest. At the end of the year, the total interest from these investments was $480. How much was invested at each rate? \n" ); document.write( ". \n" ); document.write( "Let x = amount invested at 9% \n" ); document.write( "then because the total invested was $6000 then \n" ); document.write( "6000-x = amount invested at 6% \n" ); document.write( ". \n" ); document.write( "And, because the total interest amount at the end of the year was $480: \n" ); document.write( ".09x + .06(6000-x) = 480 \n" ); document.write( ".09x + 360 - .06x = 480 \n" ); document.write( ".03x + 360 = 480 \n" ); document.write( ".03x = 120 \n" ); document.write( "x = $4000 (amount invested at 9%) \n" ); document.write( ". \n" ); document.write( "Amount invested at 6%: \n" ); document.write( "6000-x = 6000-4000 = $2000 (amount invested at 6%) \n" ); document.write( " \n" ); document.write( " |