document.write( "Question 447762:  Please help me!!!!!!!!
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document.write( " Solve. Please show the algebraic inequality you used and show all of your work.
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document.write( "Two cell phone companies are advertising rates. Company A charges a rate of $20 per month plus $0.05 per minute. Company B charges a rate of $10 per month plus $0.10 per minute. What is the number of minutes used above which Company A costs more than Company B? \n" );
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| Algebra.Com's Answer #308312 by ankor@dixie-net.com(22740)     You can put this solution on YOUR website! Two cell phone companies are advertising rates. \n" ); document.write( " Company A charges a rate of $20 per month plus $0.05 per minute. \n" ); document.write( " Company B charges a rate of $10 per month plus $0.10 per minute. \n" ); document.write( " What is the number of minutes used above which Company A costs more than Company B? \n" ); document.write( ": \n" ); document.write( "Let m = no. of minutes for this to be true \n" ); document.write( ": \n" ); document.write( "Write an cost equation for each plan \n" ); document.write( ": \n" ); document.write( "\"Company A charges a rate of $20 per month plus $0.05 per minute.\" \n" ); document.write( "Cost A = .05m + 20 \n" ); document.write( ": \n" ); document.write( "\"Company B charges a rate of $10 per month plus $0.10 per minute.\" \n" ); document.write( "Cost B = .10m + 10 \n" ); document.write( ": \n" ); document.write( "What is the number of minutes used above which Company A costs more than Company B? \n" ); document.write( "Cost A > Cost B \n" ); document.write( "which is \n" ); document.write( ".05m + 20 > .10m + 10 \n" ); document.write( ".05m - .10m > 10 - 20 \n" ); document.write( "-.05m > -10 \n" ); document.write( "We need to get rid of the negatives, multiply by -1, this reverses the inequality sign \n" ); document.write( ".05m < 10 \n" ); document.write( "m < \n" ); document.write( "m < 200 \n" ); document.write( "We can translate this to the statement \n" ); document.write( "\"Plan A cost more than Plan B when you use less than 200 min\" \n" ); document.write( "or \n" ); document.write( "\"Plan A cost less than Plan B when you exceed 200 min\" \n" ); document.write( ": \n" ); document.write( "Let's see if that is true: \n" ); document.write( "If you use 201 min \n" ); document.write( "A = .05(201) + 20 = $30.05 \n" ); document.write( "B + .10(201) + 10 = $30.10 \n" ); document.write( " |