SOLUTION: The average atmospheric pressure P is pounds per square inch is P = 14.7e-0.21x where x is the altitude in miles above sea level. Find the average atmospheric pressure for an alti

Algebra ->  Rational-functions -> SOLUTION: The average atmospheric pressure P is pounds per square inch is P = 14.7e-0.21x where x is the altitude in miles above sea level. Find the average atmospheric pressure for an alti      Log On


   

Question 40616: The average atmospheric pressure P is pounds per square inch is P = 14.7e-0.21x where x is the altitude in miles above sea level. Find the average atmospheric pressure for an altitude of 3 miles. Round the answer to the nearest tenth.
Thanks for anyones help
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
P+=+14.7e%5E%28-0.21x%29
x = 3
P+=+14.7%2Ae%5E-0.63
take the natural log of both sides
ln%28P%29+=+ln%2814.7e%5E-.63%29
ln%28P%29+=+ln%2814.7%29+-+.63
(because ln(e^a) = a)
ln%28P%29+=+2.688+-+.63
ln%28P%29+=+2.058
P+=+e%5E2.058
P+=+7.8