document.write( "Question 802153: A financial planner wants toinvest 8000 some in stocks earning 15% annually and the rest in bonds earning 6% annually. How much should be invested at each rate to get a return of 930$ annually from the two investments? \n" ); document.write( "
Algebra.Com's Answer #483774 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Part I 15.00% per annum ------------- Amount invested =x \n" ); document.write( "Part II 6.00% per annum ------------ Amount invested = y \n" ); document.write( " 8000 \n" ); document.write( "Interest----- 930.00 \n" ); document.write( " \n" ); document.write( "Part I 15.00% per annum ---x \n" ); document.write( "Part II 6.00% per annum ---y \n" ); document.write( "Total investment \n" ); document.write( "x + 1 y= 8000 -------------1 \n" ); document.write( "Interest on both investments \n" ); document.write( "15.00% x + 6.00% y= 930 \n" ); document.write( "Multiply by 100 \n" ); document.write( "15 x + 6 y= 93000.00 --------2 \n" ); document.write( "Multiply (1) by -15 \n" ); document.write( "we get \n" ); document.write( "-15 x -15 y= -120000.00 \n" ); document.write( "Add this to (2) \n" ); document.write( "0 x -9 y= -27000 \n" ); document.write( "divide by -9 \n" ); document.write( " y = 3000 - x) \n" ); document.write( "Part I 15.00% $ 5000 \n" ); document.write( "Part II 6.00% $ 3000 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "5000 --------- 15.00% ------- 750.00 \n" ); document.write( "3000 ------------- 6.00% ------- 180.00 \n" ); document.write( "Total -------------------- 930.00 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |