document.write( "Question 924008: Susan invested $12,350, part at 7% simple interest and part at 6% simple interest for a period of 1 year. How much was invested at each rate if each account earned the same interest? \n" ); document.write( "
Algebra.Com's Answer #560550 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! x+y=12350 \n" ); document.write( "7/100*x=6/100*y \n" ); document.write( "0.07*x=0.06*y \n" ); document.write( "x+y=12350 \n" ); document.write( "We substitute for x \n" ); document.write( "0.07*(12350-y)=0.06*y \n" ); document.write( "We multiply out \n" ); document.write( "0.07*12350-0.07y=0.06*y \n" ); document.write( "We combine like terms. \n" ); document.write( "8645=1.3*y \n" ); document.write( "Isolate y \n" ); document.write( "y=6650 at 6% \n" ); document.write( "Calculate x \n" ); document.write( "x+y=12350 \n" ); document.write( "x=5700 at 7% \n" ); document.write( "Now,we know the total invested is: 12350 \n" ); document.write( "Total invested $5700+$6650=$12350 \n" ); document.write( "We check \n" ); document.write( "0.07*5700=0.06*6650 \n" ); document.write( "399=399 \n" ); document.write( "ok \n" ); document.write( "codeintsi \n" ); document.write( " \n" ); document.write( " |