document.write( "Question 149272This question is from textbook College Algebra
\n" ); document.write( ": i) Problem: In 1960, the United States generated 87.1 million tons of municipal solid waste and recovered (recycled) only 4.3% of it. The amount of municipal solid waste generated in the United States can be modeled by the formula w = 3.14n + 87.1, while the amount recovered can be modeled by the formula w = 0.576n + 3.78, where w is in millions of tons and n is the number of years since 1960.
\n" ); document.write( "(1) Use the formulas to determine the year in which the United States generated over 100 million tons of municipal solid waste.
\n" ); document.write( "(2) Find the year in which 13% of the municipal solid waste generated will be recovered.
\n" ); document.write( "(3) Will the recovery rate ever reach 25%?
\n" ); document.write( "(4) According to this model, what is the maximum percentage of solid waste that will ever be recovered?
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Algebra.Com's Answer #109511 by stanbon(75887)\"\" \"About 
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In 1960, the United States generated 87.1 million tons of municipal solid waste and recovered (recycled) only 4.3% of it. The amount of municipal solid waste generated in the United States can be modeled by the formula w = 3.14n + 87.1, while the amount recovered can be modeled by the formula w = 0.576n + 3.78, where w is in millions of tons and n is the number of years since 1960.
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\n" ); document.write( "(1) Use the formulas to determine the year in which the United States generated over 100 million tons of municipal solid waste.
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\n" ); document.write( "w = 3.14n + 87.1
\n" ); document.write( "100 = 3.14n + 87.1
\n" ); document.write( "12.9 = 3.14n
\n" ); document.write( "n = 4.109
\n" ); document.write( "Year = 1960 + 4.109 means in the year 1965
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\n" ); document.write( "\n" ); document.write( "(2) Find the year in which 13% of the municipal solid waste generated will be recovered.
\n" ); document.write( "w = 0.576n + 3.78
\n" ); document.write( "13 = 0.576n + 3.78
\n" ); document.write( "0.576n = 12.22
\n" ); document.write( "n = 21.21..
\n" ); document.write( "Year = 1960 + 21.21 is in the year 1982
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\n" ); document.write( "(3) Will the recovery rate ever reach 25%?
\n" ); document.write( "25 = 0.576n + 3.78
\n" ); document.write( "21.22 = 0.576n
\n" ); document.write( "n = 36.85..
\n" ); document.write( "Year = 1960 + 36.85.. = 1997
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\n" ); document.write( "(4) According to this model, what is the maximum percentage of solid waste that will ever be recovered?
\n" ); document.write( "The maximum percentage would be 100
\n" ); document.write( "100 = 0.576n + 3.78
\n" ); document.write( "0.576n = 96.22
\n" ); document.write( "n = 167.05
\n" ); document.write( "Year = 1960+167.05 = the year 2028
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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