document.write( "Question 1010453: There is an initiation fee to join the Wellness Center, as well as monthly dues. The total cost after 7 months' membership will be $335, and after 1 1/2 year, $830. Find both the initiation fee and the monthly dues. Setup a system of equations and solve. Label your answers. Show step by step.\r
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document.write( "Thanks in advance! \n" );
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Algebra.Com's Answer #625886 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "The total cost after 7 months' membership will be $335 \n" ); document.write( "Make initiation fee = x \n" ); document.write( "Make monthly due = y \n" ); document.write( "x + 7y = $335 \n" ); document.write( "and after 1 1/2 year, $830. \n" ); document.write( "x + 18y = $830 \n" ); document.write( ".............. \n" ); document.write( "x + 7y = $335.......(1) \n" ); document.write( "x + 18y = $830......(2) \n" ); document.write( "Subtract (1) from(2) \n" ); document.write( "....11y = $495 \n" ); document.write( "....y = $45 \n" ); document.write( "Substitute y = $45 in (1) \n" ); document.write( "x + 7y = $335 \n" ); document.write( "x + 7($45) = $335 \n" ); document.write( "x + $315 = $335 \n" ); document.write( "x = $335 - $315 \n" ); document.write( "x = $20 \n" ); document.write( "Initiation fee = $20 \n" ); document.write( "Monthly due = $45 \n" ); document.write( "Hope this helps :-) \n" ); document.write( " \n" ); document.write( " |