document.write( "Question 809858: A total of $7100 was invested as follows: a certain amount at 7%, twice that amount at 10%, and the remainder at 12%. If the annual interest from the three investments was $699, how much was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #487810 by mananth(16946)\"\" \"About 
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A total of $7100 was invested .\r
\n" ); document.write( "\n" ); document.write( " a certain amount at 7%,-----------x
\n" ); document.write( " twice that amount at 10%,----------2x
\n" ); document.write( "the remainder at 12%. ---------------(7100-3x)
\n" ); document.write( "annual interest from the three investments = $699\r
\n" ); document.write( "\n" ); document.write( "7%x+10%*2x+12%*(7100-3x)=699\r
\n" ); document.write( "\n" ); document.write( "multiply by 100
\n" ); document.write( "7x+20x+12(7100-3x)=699\r
\n" ); document.write( "\n" ); document.write( "7x+20x+85200-36x=699\r
\n" ); document.write( "\n" ); document.write( "27x-36x=699-85200\r
\n" ); document.write( "\n" ); document.write( "-9x=-84501\r
\n" ); document.write( "\n" ); document.write( "/-9
\n" ); document.write( "x=9389\r
\n" ); document.write( "\n" ); document.write( "amount at 7%,-----------$9389
\n" ); document.write( " twice that amount at 10%,----------2x---------------$18778
\n" ); document.write( "the remainder at 12%. --------------- Balance
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