document.write( "Question 180329: Mike invested a total of $14,600, part at 9% simple interest and Part 6% interest for one year. If the interest in the 9% account was $300 greater than the interest in the 6% account, how much was invested in the 9% account? \n" ); document.write( "
Algebra.Com's Answer #135170 by stanbon(75887) ![]() You can put this solution on YOUR website! Mike invested a total of $14,600, part at 9% simple interest and Part 6% interest for one year. If the interest in the 9% account was $300 greater than the interest in the 6% account, how much was invested in the 9% account? \n" ); document.write( "------------------------------ \n" ); document.write( "Equation: \n" ); document.write( "9% int = 6%int + 300\r \n" ); document.write( "\n" ); document.write( "0.09x = 0.06(14000-x) + 300\r \n" ); document.write( "\n" ); document.write( "Multiply both sides by 100 to get:\r \n" ); document.write( "\n" ); document.write( "9x = 6(14000)-6x + 30000 \n" ); document.write( "15x = 30000 + 84000\r \n" ); document.write( "\n" ); document.write( "x = $7600 (amt. invested at 9%) \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |