document.write( "Question 964674: You wish to invest $600 over one year in two accounts paying 5% and 6% annually. How much should you invest in each to earn $34? \n" ); document.write( "
Algebra.Com's Answer #589504 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "F=amount at 5%; S=amount at 6% \n" ); document.write( "F+S=$600 \n" ); document.write( "F=$600-S \n" ); document.write( "0.05F+0.06S=$34 Substitute for F \n" ); document.write( "0.05($600-S)+0.06S=$34 \n" ); document.write( "$30-0.05S+0.06S=$34 Subtract $30 from each side. \n" ); document.write( "0.01S=$4 Multiply each side by 100 \n" ); document.write( "S=$400 ANSWER 1: You should invest $400 at 6%. \n" ); document.write( "F=$600-S=$600-$400=$200 ANSWER 2: You should invest $200 at 5%. \n" ); document.write( "CHECK: \n" ); document.write( "0.05F+0.06S=$34 \n" ); document.write( "0.05($200)+0.06($400)=$34 \n" ); document.write( "$10+$24=$34 \n" ); document.write( "$34=$34 \n" ); document.write( " |