document.write( "Question 229212: Amy invests a part of $12000 in bonds paying 11% interest. The remainder is in a savings account at 8%. If she receives $1200 in interest for 1 year, how much does she have invested at each rate?\r
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document.write( "I am trying to help my son. We both do not understand how to do this. Thanks in advance for your time. \n" );
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Algebra.Com's Answer #170116 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Amy invests a part of $12000 in bonds paying 11% interest. \n" ); document.write( " The remainder is in a savings account at 8%. \n" ); document.write( "If she receives $1200 in interest for 1 year, how much does she have invested at \n" ); document.write( " each rate? \n" ); document.write( ": \n" ); document.write( "let x = amt invested at 11% \n" ); document.write( "\"The remainder is in a savings account at 8%.\" therefore: \n" ); document.write( "(12000 - x) = amt invested 8% \n" ); document.write( ": \n" ); document.write( "Total interest from the two investments = $1200 \n" ); document.write( ".11x + .08(12000-x) = 1200 \n" ); document.write( ": \n" ); document.write( "Multiply what's inside the brackets \n" ); document.write( ".11x + 960 - .08x = 1200 \n" ); document.write( ".11x - .08x = 1200 - 960 \n" ); document.write( ".03x = 240 \n" ); document.write( "x = \n" ); document.write( "x = $8000 invested at 11% \n" ); document.write( "then \n" ); document.write( "12000 - 8000 = $4000 invested at 8% \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Prove this to yourself, find the total interest \n" ); document.write( ".11(8000) + .08(4000) \n" ); document.write( "880 + 320 = 1200 \n" ); document.write( " |