document.write( "Question 96951: If I invest 12,000 into 2 accounts. One account earns 7.5% simple interest. the other 6% simple interset. At the end, I earn $840.00. How much did I invest in each account? \n" ); document.write( "
Algebra.Com's Answer #70583 by coyote(32)![]() ![]() ![]() You can put this solution on YOUR website! The formula is I=prt \n" ); document.write( "So 840 = .06x + .075(12000 - x) \n" ); document.write( "Multiply both sides by 100 to remove decimals \n" ); document.write( "84000 = 6x + 7.5(12000 - x) \n" ); document.write( "84000 = 6x + 90000 - 7.5x \n" ); document.write( "84000 = -1.5x + 90000 \n" ); document.write( "-6000 = 1.5x \n" ); document.write( "4000 = x \n" ); document.write( "So to find the second account, go back to 12000 - x = 8000\r \n" ); document.write( "\n" ); document.write( "To check: \n" ); document.write( "6% of 4000 = 240 \n" ); document.write( "7.5% of 8000 = 600 \n" ); document.write( "which equals original interest of 840 \n" ); document.write( " |