document.write( "Question 714501: The atmospheric pressure P in pounds per square inch (psi) is given by \r
\n" ); document.write( "\n" ); document.write( "P = 14.7 e−0.21 a
\n" ); document.write( " where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 11.27 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.)
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Algebra.Com's Answer #438818 by kevwill(135)\"\" \"About 
You can put this solution on YOUR website!
Starting with the original equation:
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\n" ); document.write( "\"P+=+14.7e%5E%28-0.21a%29\"
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\n" ); document.write( "Where P is the atmospheric pressure in PSI, and a is the altitude in miles. We're given P and need to solve for a.
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\n" ); document.write( "\"P+=+14.7e%5E%28-0.21a%29\"
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\n" ); document.write( "\"P%2F14.7+=+e%5E%28-0.21a%29\"
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\n" ); document.write( "\"ln%28P%2F14.7%29+=+ln%28e%5E%28-0.21a%29%29\"
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\n" ); document.write( "\"ln%28P%2F14.7%29+=+-0.21a\"
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\n" ); document.write( "\"ln%28P%2F14.7%29%2F-0.21+=+a\"
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\n" ); document.write( "So for P = 11.27 PSI,
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\n" ); document.write( "\"a+=+ln%2811.27%2F14.7%29%2F-0.21\"
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\n" ); document.write( "\"a+=+ln%280.766667%29%2F-0.21\"
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\n" ); document.write( "\"a+=+%28-0.265703%29%2F%28-0.21%29\"
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\n" ); document.write( "\"a+=+1.265253\" miles or 6681 feet.\r
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