Question

please help <3 last test ever :) only 10 question so please help !

Answer 1

ok

Answer 2

thanks <3

Answer 3

is this really the last one? xD let me take a look

Answer 4

A = initial amount = 3000

Answer 5

yes i believe so .

Answer 6

P = Ae^(kt)
P = 3000e^(kt)

Answer 7

P(6) = 3,600
3600=3000e^(k*6)

Answer 8

36 = 30e^(6k)
6 = 5e^(6k)

Answer 9

take Ln on both sides:
Ln6 = ln[5e^(6k)]
use Ln properties to simplify

Answer 10

Ln6 = Ln5 + lne^(6k)
ln6 = ln5 + 6k(lne)
ln6 - ln5 = 6k since lne =1

Answer 11

6k = 0.1823

Answer 12

k = 0.1823/6 = 0.03

Answer 13

Now put that back into P:
P = 3000e^(kt)
P = 3000e^(0.03t)
Now what is this equal to after 13 hours?

Answer 14

P(13) = 3000e^(0.03*13) = 4430.94 to the nearest whole that's like 4431

Answer 15

you got to what: ln(P/A)/t = k right?

Answer 16

I can't break this down any more than this..

Answer 17

sorry i was in the bathroom and yes i understand :)

Answer 18

yea omg i get it :) it was correct :D

Answer 19

so all you do is replacing :) what u kno.

Answer 20

yea

Answer 21

thanks :) u wanna help me with the other 10 or no :( ?

Answer 22

work this out posting the steps here, what do u do first?

Answer 23

use initial pop = 197mln

Answer 24

ok give me a sec :) im gonna try to solve it :)