Question

Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown attached :)

Answer 1

In this function, Po is the air pressure at the surface of the Earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth?

A. 2148.9 m

B. 0.59 m

C. 5776.2 m

D. 4166.7 m


**my answer: D. 4166.7

is that right @jim_thompson5910 ?? :D

Answer 2

and #2: If you were to place $2,500 in a savings account that pays 3% interest compounded continuously, how much money will you have after 5 years? Assume you make no other deposits or withdrawals.

A. $431,078.73

B. $2,515.00

C, $2,898.19

D. $2,904.59

**my answer: D.

is that right too @jim_thompson5910 >??? :)

Answer 3

so i got D for both 1 and 2 :) are they right?? :)

Answer 4

1D is wrong

Answer 5

aww :( whats #1 then? :)

Answer 6

solve for h

0.5P = P*e^(-0.00012*h)

Answer 7

2D is correct

Answer 8

how do i do that?? :)

sorry it looks confusing when its written like that :(

and yay for #2!! :)

Answer 9

@jim_thompson5910 :) how do i do #1 ?? I'm conufsed ;(

Answer 10

0.5P = P*e^(-0.00012*h)

0.5 = e^(-0.00012*h)

ln(0.5) = -0.00012*h

Answer 11

so i need to convert it right?? so i forget how do i do that?

ln(0.5)=-0.693147181

but idk how to do the second part :(

Answer 12

@jim_thompson5910 i just can't figure out that second part :(

Answer 13

how did you get -0.693147181

Answer 14

just divide both sides in ln(0.5) = -0.00012*h by -0.00012 to isolate h

Answer 15

idk i plugged ln(0.5) in the calc.. :/ and okay one sec lemme do that :)

Answer 16

h=5,776.226505

so my answer two #1 is C. 5776.2 m?? @jim_thompson5910 :)

Answer 17

did i get it? :)

Answer 18

yep

Answer 19

awesome! thank you :)

Answer 20

awesome! thank you :)

Answer 21

awesome! thank you :)

Answer 22

awesome! thank you :)