SOLUTION: The atmospheric pressure P in pounds per square inch (psi) is given by P = 14.7 e−0.21 a where a is the altitude above sea level (in miles). If a city has an atmospheric pr

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The atmospheric pressure P in pounds per square inch (psi) is given by P = 14.7 e−0.21 a where a is the altitude above sea level (in miles). If a city has an atmospheric pr      Log On


   



Question 770603: The atmospheric pressure P in pounds per square inch (psi) is given by
P = 14.7 e−0.21 a
where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 11.39 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The atmospheric pressure P in pounds per square inch (psi) is given by
P = 14.7 e−0.21 a
where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 11.39 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.)
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11.39 = 14.7*e^0.21*a
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a = [11.39*e^0.21]/14.7
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a = 0.9559 miles
a = 0.9559*5290 = 5047.1 feet
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Cheers,
Stan H.
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