document.write( "Question 1186851: Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an account paying 5%. If he earns $152.75 in interest in one year from both accounts combined, how much did he invest altogether?\r
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document.write( "Total Principal in Both Accounts = $ \r
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Algebra.Com's Answer #837130 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an account paying 5%. If he earns $152.75 in interest in one year from both accounts combined, how much did he invest altogether?\r \n" ); document.write( "\n" ); document.write( "Total Principal in Both Accounts = $ \r \n" ); document.write( "\n" ); document.write( " an account pays 5% Assume the amount is $x ( 0.05)\r \n" ); document.write( "\n" ); document.write( "Second account will be 3x @ 14% (0.14)\r \n" ); document.write( "\n" ); document.write( "he earns $152.75 in interest in one year\r \n" ); document.write( "\n" ); document.write( "Interest equation \n" ); document.write( "0.05x + 0.14(3x) = 152.75\r \n" ); document.write( "\n" ); document.write( "0.05x +0.42x =152.75\r \n" ); document.write( "\n" ); document.write( "0.47x = 152.75\r \n" ); document.write( "\n" ); document.write( "x = 152.78/0,47\r \n" ); document.write( "\n" ); document.write( "x = 325.06 \n" ); document.write( "3x = 3*325.06 =975.18\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |