document.write( "Question 906711: i have had multiple questions that look exactly the same and have no idea where to begin....
\n" ); document.write( "The question: Tom has 30,00 to invest, he puts some of the money in bonds that earn 12,00 annual simple interest, he put the rest in an account with 4% annual interest, he received 2,400 at the end of the year in extra income, how much did he invest in each.
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Algebra.Com's Answer #550023 by richwmiller(17219)\"\" \"About 
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Total amount of money invested: $30000
\n" ); document.write( "x+y=30000,
\n" ); document.write( "Total yearly interest for the two accounts is: $2400
\n" ); document.write( "0.12*x+0.04*y=2400
\n" ); document.write( "x=30000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.12*(30000-y)+0.04*y=2400
\n" ); document.write( "Multiply out
\n" ); document.write( "3600-0.12y+0.04*y=2400
\n" ); document.write( "Combine like terms.
\n" ); document.write( "-0.08*y=-1200
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$15000.00 at 4%
\n" ); document.write( "x=30000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$15000.00 at 12%
\n" ); document.write( "Check
\n" ); document.write( "0.12*15000+0.04*15000=2400
\n" ); document.write( "1800+600=2400
\n" ); document.write( "2400=2400
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
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