document.write( "Question 941587: The atmospheric pressure p in pounds per square inch (psi) is given by P=14.7e^0.21a
\n" ); document.write( "Where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 13.25 psi, what is the altitude? (1mile = 5,280 ft. Round the answer to the nearest foot.
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Algebra.Com's Answer #573984 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
\"P=14.7e%5E0.21a\"
\n" ); document.write( "Solve the equation for a:
\n" ); document.write( "\"P%2F14.7=e%5E-.21a\"
\n" ); document.write( "Natural log of e is one, so:
\n" ); document.write( "\"ln%28P%2F14.7%29=%28-0.21a%29%281%29\"
\n" ); document.write( "\"ln%28P%2F14.7%29%2F-0.21=a\"
\n" ); document.write( "Substitute for P
\n" ); document.write( "\"ln%2813.25%2F14.7%29%2F-0.21=a\"
\n" ); document.write( "\"ln%280.9014%29%2F-0.21=a\"
\n" ); document.write( "\"%28-0.1038%2F-0.21%29=a\"
\n" ); document.write( "\"0.4943mi=a\"
\n" ); document.write( "Convert to feet
\n" ); document.write( "\"a=0.4943mi%285280ft%2F1mi%29=2610feet\"\r
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