document.write( "Question 522954: you invested $29,000 in two accounts paying 8% and 9% annual interest respectively. if the total interest earned for the year was $2350 how much was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #347117 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Amount invested at 8% = x \n" ); document.write( "Amount invested at 9% = 29000-x \n" ); document.write( "Given \n" ); document.write( "Total interest on both investments = 2350 \n" ); document.write( "8% * (x) + 9% * (29000-x) = 2350 \n" ); document.write( "8/100 * (x) + 9/100 * (29000-x) = 2350 \n" ); document.write( "8/100 * (x) + 9/100 * (29000-x) = 2350 \n" ); document.write( "Multiply by 100 both sides \n" ); document.write( "8 * (x) + 9 * (29000-x) = 2350 * 100 \n" ); document.write( "8x + 261000-9x = 235000 \n" ); document.write( "-x=235000-261000 \n" ); document.write( "-x=-26000 \n" ); document.write( "Multiply by -1 boths sides \n" ); document.write( "x=26000 \n" ); document.write( "Amount invested at 8% = x =26000 \n" ); document.write( "Amount invested at 9% =29000-x=29000-26000 = 3000 \r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "===== \n" ); document.write( "26000 * 8/100 +3000 * 9/100 = 2350 \n" ); document.write( "260*8+30*9=2350 \n" ); document.write( "2080+270=2350 \n" ); document.write( "2350=2350 \n" ); document.write( " \n" ); document.write( " |