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 13.17 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.)
ft

Question

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 13.17 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.)
  ft

ganeshie8 · Answer

$\large  P = 14.7 e^{−0.21} a $

ganeshie8 · Answer

you're given $P = 13.17$, 
plug it in and solve $a$

ganeshie8 · Answer

$\large  13.17 = 14.7 e^{−0.21} a $

ganeshie8 · Answer

can u solve $a$ ?

anonymous · Answer

I'm sorry I was writing a a paper

anonymous · Answer

he 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 11.21 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.)
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11.21 = 14.7*e^-0.21a
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e^(-0.21a) = 0.7626
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Take the natural log of both sides to get:

-0.21a = -0.2710
----
a = 1.2906 miles
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a = 1.2906*5280 = 6814 feet

anonymous · Answer

i found a question similar to that

anonymous · Answer

try using it to solve your question!

anonymous · Answer

OK THX