document.write( "Question 1128104: Santiago receives $309 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is six times the amount invested at 3%. Find the amount invested at each rate. Solve for the amount invested at each percent. \n" ); document.write( "
Algebra.Com's Answer #744594 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Santiago receives $309 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is six times the amount invested at 3%. Find the amount invested at each rate. Solve for the amount invested at each percent. \n" ); document.write( "Equations: \n" ); document.write( "2t + 3r + 4f = 30900 \n" ); document.write( "r = t+500 \n" ); document.write( "f = 6*r \n" ); document.write( "------- \n" ); document.write( "Substitute and solve for \"r\" \n" ); document.write( "2(r-500) + 3r + 24r = 30900 \n" ); document.write( "29r = 31900 \n" ); document.write( "r = $1100 (amt. invested at 3%) \n" ); document.write( "f = 6r = $6600 (amt. invested at 4%) \n" ); document.write( "t = r-500 = $500 (amt. invested at 2%) \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------- \n" ); document.write( " \n" ); document.write( " |