document.write( "Question 1107868: Mary invested a total of $48,000 in three different bank accounts. One account pays an annual interest rate of 2%, the second account pays 3% annual interest, and the third account pays 4% annual interest. In one year, Mary earned a total of $1,550 in interest from these three accounts. If Mary invested $8,000 more in the account that pays 3% interest than she did in the account that pays 4% interest, find the amount she invested in each account. \n" ); document.write( "
Algebra.Com's Answer #722896 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x is 2% \n" ); document.write( "y=3% \n" ); document.write( "z=4% \n" ); document.write( "but z=y-8000 \n" ); document.write( "Therefore, \n" ); document.write( "x+y+y-8000=48000 \n" ); document.write( "x+2y=56000 \n" ); document.write( ".02x+.03y+.04(y-8000)=1550 \n" ); document.write( ".02x+.03y+.04y-320=1550 \n" ); document.write( ".02x+.07y=1870 \n" ); document.write( "x+2y=56000 \n" ); document.write( "multiply the top by -50 \n" ); document.write( "-x-3.5y=-93500 \n" ); document.write( "add \n" ); document.write( "-1.5y=-37500 \n" ); document.write( "y=25000@3%=$750 \n" ); document.write( "y-8000=17000@4%=$680 \n" ); document.write( "remaining is x \n" ); document.write( "6000@0.02 for $120\r \n" ); document.write( "\n" ); document.write( "invested \n" ); document.write( "$6000 at 2% \n" ); document.write( "$25000 at 3% \n" ); document.write( "$17000 at 4% \n" ); document.write( " \n" ); document.write( " |