document.write( "Question 159683: Dr.D.Jones has a total of $3000 invested in two stocks. Stock A pays dividends at the rate of 6% and stock B at the rate of 8%. If her dividends from the two stocks total $220 per year, how much did she invest in each stock? ( include let statements and show work ) \n" ); document.write( "
Algebra.Com's Answer #117829 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Dr.D.Jones has a total of $3000 invested in two stocks. Stock A pays dividends at the rate of 6% and stock B at the rate of 8%. If her dividends from the two stocks total $220 per year, how much did she invest in each stock? \n" ); document.write( ": \n" ); document.write( "Let x = amt in B stock (8%) \n" ); document.write( "then \n" ); document.write( "Let (3000-x) = amt in A stock (6%) \n" ); document.write( ": \n" ); document.write( "Write a decimal equiv interest equation: \n" ); document.write( ".08x + .06(3000-x) = 220 \n" ); document.write( ": \n" ); document.write( ".08x + 180 - .08x = 220 \n" ); document.write( ": \n" ); document.write( ".08x - .06x = 220 - 180 \n" ); document.write( ": \n" ); document.write( ".02x = 40 \n" ); document.write( "x = \n" ); document.write( "x = $2000 invested in Stock B at 8% \n" ); document.write( "then \n" ); document.write( "3000 - 2000 = $1000 invested in Stock A at 6% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in original interest equation \n" ); document.write( ".08(2000) + .06(1000) = \n" ); document.write( "160 + 60 = 220 \n" ); document.write( " |