document.write( "Question 136056: How do i solve the following problems :\r
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\n" ); document.write( "\n" ); document.write( "1)A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?\r
\n" ); document.write( "\n" ); document.write( "2)Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000?
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Algebra.Com's Answer #99667 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 a piece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?
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\n" ); document.write( "You have two points: (100,6.7) and (80,10.2)
\n" ); document.write( "slope = (10.2-6.7)/(80-100) = -7/40
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\n" ); document.write( "Form: y = mx + b
\n" ); document.write( "You have y,x,m; solve for \"b\":
\n" ); document.write( "6.7 = (-7/40)*100 + b
\n" ); document.write( "b = 6.7 + 17.5
\n" ); document.write( "b = 24.2
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\n" ); document.write( "EQUATION:
\n" ); document.write( "# sold = (-7/40)x +24.2 million where x is price per unit
\n" ); document.write( "#(75) = (-7/40)*75 + 24.2
\n" ); document.write( "#(75) = 11.075 million
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\n" ); document.write( "2)Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000?
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\n" ); document.write( "Pay = cost + 0.06*cost
\n" ); document.write( "P = c(1+0.06)
\n" ); document.write( "P = 1.06c
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\n" ); document.write( "P(32000) = 1.06*32000 = $33920.00
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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