document.write( "Question 910285: $2500 is to be deposited in Banks A and B. The interest rate per annum for Bank A is 6% while that for Bank B is 6,5%. After one year, their interests are equal. How much money is to be deposited in each bank? \n" ); document.write( "
Algebra.Com's Answer #552356 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! x+y=2500 \n" ); document.write( "6/100*x=6.5/100*y \n" ); document.write( "0.06*x=0.065*y \n" ); document.write( "x+y=2500 \n" ); document.write( "We substitute for x \n" ); document.write( "0.06*(2500-y)=0.065*y \n" ); document.write( "We multiply out \n" ); document.write( "0.06*2500-0.06y=0.065*y \n" ); document.write( "We combine like terms. \n" ); document.write( "1500=1.25*y \n" ); document.write( "Isolate y \n" ); document.write( "y=1200.0 at 6.5% \n" ); document.write( "Calculate x \n" ); document.write( "x+y=2500 \n" ); document.write( "x=1300 at 6% \n" ); document.write( "Now,we know the total invested is: 2500 \n" ); document.write( "Total invested $1300+$1200=$2500 \n" ); document.write( "We check \n" ); document.write( "0.06*1300=0.065*1200 \n" ); document.write( "78=78.0 \n" ); document.write( "ok \n" ); document.write( " \n" ); document.write( " |