document.write( "Question 568243: Two investments totaling $27,500 produce an annuel income of $1,895. One investment yields 7% a year, while the other yields 4% per year. How much is invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #366891 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Investment Part I 7.00% per annum ----x \n" ); document.write( "Investment part II 4.00% per annum ----y \n" ); document.write( "The sum of the investments is $27,500.00 \n" ); document.write( "The sum of individual interests = $1,895.00 \n" ); document.write( "x+y=27500 ------------------------1 \n" ); document.write( "7.00%x+4.00%y=$1,895.00 \n" ); document.write( "Multiply by 100 ( to eliminate the %) \n" ); document.write( "7x+4y=$189,500.00 --------2 \n" ); document.write( " \n" ); document.write( "Multiply (1) by -7 \n" ); document.write( "we get \n" ); document.write( " \n" ); document.write( "-7x-7y =-192500.00 \n" ); document.write( " \n" ); document.write( "Add this to (2) \n" ); document.write( " \n" ); document.write( "-3y=-$3,000.00 \n" ); document.write( " \n" ); document.write( "divide by-3 \n" ); document.write( " \n" ); document.write( "y = $1,000.00 investment at 4.00% \n" ); document.write( "Balance $26,500.00 investment at 7.00%\r \n" ); document.write( "\n" ); document.write( "CHECK \n" ); document.write( "$26,500.00 @ 7.00% $1,855.00 \n" ); document.write( "$1,000.00 @ 4.00% $40.00 \n" ); document.write( "Total -------------------- $1,895.00 \n" ); document.write( " \n" ); document.write( " |