document.write( "Question 338676: Katie invested $6000, a portion earning a simple interest rate of 3.25% per year and the rest earning a simple interest rate of 4% per year. After one year the total interest earned on these investments is $199.50. \n" ); document.write( "
Algebra.Com's Answer #242751 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Katie invested $6000, a portion earning a simple interest rate of 3.25% per year and the rest earning a simple interest rate of 4% per year. After one year the total interest earned on these investments is $199.50. \n" ); document.write( ". \n" ); document.write( "Let x = amount invested at 3.25% \n" ); document.write( "then \n" ); document.write( "6000-x = amount invested at 4% \n" ); document.write( ". \n" ); document.write( ".0325x +.04(6000-x) = 199.50 \n" ); document.write( ".0325x + 240 - .04x = 199.50 \n" ); document.write( "240 - .0075x = 199.50 \n" ); document.write( "-.0075x = -40.5 \n" ); document.write( "x = $5400 (amount invested at 3.25%) \n" ); document.write( ". \n" ); document.write( "amount invested at 4%: \n" ); document.write( "6000-x = 6000-5400 = $600\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |