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klio [65]
3 years ago
13

I need help solving and understanding this question!!!

Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:

h = 3589.9 meters ⇒ answer (D)

Step-by-step explanation:

∵ P(h) = P0 . e^(-0.00012h)

∵ P(h) = 65% of P0

∴ 0.65P_{0}=P_{0}.e^{-0.00012h}

∴ 0.65=e^{-0.00012h}

∵ Insert <em>ln</em> in both sides

∴ ln(0.65) = ln(e^{-0.00012h}) = -0.00012h(lne)

∵<em> </em><em>ln</em>(e) = 1

∴ h = ln(0.65)/-0.00012 = 3589.9 meters

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