document.write( "Question 180711: Greg 'acquired' $25,000 and invested the money into two seprate accounts. In one of the accounts he earned 5.5% and in the second he earned 9%. In a year he took a total of $26,842.25 out of the accounts, closing them out. How much money did he invest at each rate? \n" ); document.write( "
Algebra.Com's Answer #135454 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Greg 'acquired' $25,000 and invested the money into two seprate accounts. In one of the accounts he earned 5.5% and in the second he earned 9%. In a year he took a total of $26,842.25 out of the accounts, closing them out. How much money did he invest at each rate? \n" ); document.write( "--------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "interest + interest = interest \n" ); document.write( "0.055x + 0.09(25000-x) = 26842.25-25000\r \n" ); document.write( "\n" ); document.write( "Multiply thru by 1000 to get:\r \n" ); document.write( "\n" ); document.write( "55x + 90*25000 - 90x = 1842250\r \n" ); document.write( "\n" ); document.write( "-35x = -407750\r \n" ); document.write( "\n" ); document.write( "x = $11,650 (amt invested at 5.5% \n" ); document.write( "25000-11,650 = $13,350 (amt. inveted at 9%) \n" ); document.write( "============================================= \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |