document.write( "Question 1095075: erica invests some money in three different accounts. she put some of it in a CD earning 3% and twice as much in an IRA paying 4% simple interest. she also decided to invest $1000 more than what she has invested in the cd Into a money mutual fund earning 5% simple interest. Determine how much money Erica invested in each account if she earned $370 in interest after 1 year. \n" ); document.write( "
Algebra.Com's Answer #709685 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Erica invests some money in three different accounts. she put some of it in a CD earning 3% and twice as much in an IRA \n" ); document.write( "paying 4% simple interest. she also decided to invest $1000 more than what she has invested in the cd Into a money mutual fund \n" ); document.write( "earning 5% simple interest. Determine how much money Erica invested in each account if she earned $370 in interest after 1 year. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let \"x\" be the amount (in dollars) Erica invested in CD earning 3%.\r\n" ); document.write( "\r\n" ); document.write( "Then the amount invested in the IRA paying 4% is 2x, according to the condition.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Similarly, her investment in the mutual fund is (x+1000) dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now you are ready to write the \"earnings equation\":\r\n" ); document.write( "\r\n" ); document.write( "0.03*x + 0.04*(2x) + 0.05*(x+1000) = 370.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify:\r\n" ); document.write( "\r\n" ); document.write( "0.03x + 0.08x + 0.05x + 50 = 370 ====>\r\n" ); document.write( "\r\n" ); document.write( "0.16x = 370 - 50 = 320 ====> x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |