document.write( "Question 906720: You wish to invest $800 over one year in two accounts paying 5% and 6% annually. How much should you invest in each to earn $43? \n" ); document.write( "
Algebra.Com's Answer #550029 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Total amount of money invested: $800 \n" ); document.write( "x+y=800, \n" ); document.write( "Total yearly interest for the two accounts is: $43 \n" ); document.write( "0.05*x+0.06*y=43 \n" ); document.write( "x=800-y \n" ); document.write( "Substitute for x \n" ); document.write( "0.05*(800-y)+0.06*y=43 \n" ); document.write( "Multiply out \n" ); document.write( "40-0.05y+0.06*y=43 \n" ); document.write( "Combine like terms. \n" ); document.write( "0.01*y=3 \n" ); document.write( "Isolate y \n" ); document.write( "y=$ 300.00 at 6% \n" ); document.write( "x=800-y \n" ); document.write( "Calculate x \n" ); document.write( "x=$ 500.00 at 5% \n" ); document.write( "Check \n" ); document.write( "0.05*500+0.06*300=43 \n" ); document.write( "25+18=43 \n" ); document.write( "43=43 \n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well \n" ); document.write( " \n" ); document.write( " |