document.write( "Question 1116093: Katie invested a total of $4000, part at 4% simple interest and part at 5% simple interest. At the end of 1 year, the investments had earned $174 interest. How much was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #730931 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Katie invested a total of $4000, part at 4% simple interest and part at 5% simple interest. At the end of 1 year, the investments had earned $174 interest. How much was invested at each rate? \n" ); document.write( "----- \n" ); document.write( "Quantity:: r + v = 4000 \n" ); document.write( "Interest:: 0.04r + 0.05v = 174 \n" ); document.write( "-------------------------------------- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "4r + 4v = 16000 \n" ); document.write( "4r + 5v = 17400 \n" ); document.write( "---------------------------- \n" ); document.write( "Subtract and solve for \"v\":: \n" ); document.write( "v = $1400 (amt. invested at 5%) \n" ); document.write( "r = $3600 (amt. invested at 4%) \n" ); document.write( "--- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------- \n" ); document.write( " |