document.write( "Question 110199: This one confuses me, please help! \r
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document.write( "If a person invests $12,000at 5% how much must be invested at 9% to yield an over all return of 8% ? \n" );
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Algebra.Com's Answer #80322 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! If a person invests $12,000 at 5% how much must be invested at 9% to yield an over all return of 8% ? \n" ); document.write( ": \n" ); document.write( "Let x = the amt to be invested at 9% \n" ); document.write( ": \n" ); document.write( "Think of it this way: \n" ); document.write( "5% of 12000 + 9% of x = 8% of 12000+x \n" ); document.write( ": \n" ); document.write( ".05(12000) + .09x = .08(12000 + x) \n" ); document.write( ": \n" ); document.write( "Multiply what's inside the brackets: \n" ); document.write( "600 + .09x = 960 + .08x \n" ); document.write( ": \n" ); document.write( ".09x - .08x = 960 - 600 \n" ); document.write( ": \n" ); document.write( ".01x = 360 \n" ); document.write( ": \n" ); document.write( "x = \n" ); document.write( ": \n" ); document.write( "x = $36,000 has to be invested at 9% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution \n" ); document.write( ".05(12000) + .09(36000) = \n" ); document.write( " 600 + 3240 = 3840 \n" ); document.write( ": \n" ); document.write( ".08(12000 + 36000) = \n" ); document.write( ".08 * 48000 = 3840 also which confirms our solution \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Did this un-confuse you somewhat? \n" ); document.write( " |