Question

@Jamierox4ev3r @MaddieLB

Answer 1

Im trying, gimme a min

Answer 2

K :)

Answer 3

Yeah I dont know

Answer 4

*Facepalm Your graduating right?

Answer 5

Wait a second, lemme try this

Answer 6

Yeah I'm dumb :) Sorry

Answer 7

I got you. It's fine Maddie!<3

Answer 8

Lol

Answer 9

So from 1990->1999 it went up 3 million. So that tell us that every 9 years the population increases by 3 million people.

Answer 10

Yeah

Answer 11

And from 1999 to 2016 is how many years?

Answer 12

this many

Answer 13

no 17

Answer 14

Correct. So you divide 17 by 3 then times by 3. Again. Understand where I got the numbers from?

Answer 15

Yeah

Answer 16

SO your answer needs to be rounded. Do you know how to round?

Answer 17

yeah so 20?

Answer 18

idk I know how to round

Answer 19

@5sos are you using the exponential growth formula? Because @Jakob should be solving for k, which is the growth constant. Then he can use this number to solve for the estimate of 2016.

Answer 20

I'm trying to help as best as possible.

Answer 21

I'm sure you are :) I'm just here to serve as quality control, that is all :)

I'm thinking that you're looking at this problem very simplistically, which I like, but I fear that there are more steps involved.

Answer 22

Then Can you help him solve it since I'm having trouble?

Answer 23

Sure.

So first off, we want to use the formula to find our k, which is the rate of decay.

Answer 24

K

Answer 25

We are given \(P=Ae^{kt}\)

So if P=40,000,000, A = 37,000,000, and t=9 (because 9 years passed since we saw the changes in population), can you plug that into the equation? @Jakob

Answer 26

haha, I know we can. I was wondering if you'd like to try your hand at putting it in the equation :P @Jakob

Answer 27

40,000,000=37,000,000e^k9

Answer 28

yup! Somewhat gross looking, isn't it?

It could be rewritten as \(40,000,000=37,000,000e^{9k}\) , just to make it look nicer

Answer 29

So once we have this, we have to solve for k. Can you do that, or would you like me to help you?

Answer 30

Yeah help please

Answer 31

So you can divide both sides by 37,000,000 in order to get \(e^{9k}\) by itself.

So that would look something like this:

\(40,000,000=37,000,000e^{9k}\)
/37,000,000 /37,000,000
--------------------------
1.081=\(e^{9k}\)

Answer 32

Do you see how I got there?

Answer 33

Yeah

Answer 34

Okay, good. from here, we take some thing called the "natural logarithm" of both sides.

Do you know what I'm talking about?

Answer 35

Ehhh

Answer 36

I'm assuming that's a no? XD

My God..I'm so sorry

Answer 37

Its fine school lets out in 35 mins Can you see why I asked for a direct answer?

Answer 38

And not only do we have to finish this but 9 more after

Answer 39

rip. I understand. I just want to abide by site guidelines. I'm hoping you are able to learn from what I am doing here.

Answer 40

Not really just like everything Now school is so hard its like it goes on one ear and out thee other

Answer 41

But I am learning but tomarrow I will be clueless

Answer 42

Yep, I get that. Okay. well...I have to go soon, so I'll just finish walking you through this particular problem. Hopefully the rest will make more sense.

Answer 43

So a basic rule that you should know starting now is that \[\ln(e)=1\]

Answer 44

So by taking the natural logarithm of both sides (ln), you are left with the following

1.081=\(e^{9k}\)
ln(1.081)=9k

Answer 45

at this point, solve for ln(1.081) on your calculator, then divide that answer by 9. That is your k.

Answer 46

yeah I am lost now

Answer 47

You got me up to

1.081=\(e^{9k}\), correct?

Answer 48

yeah

Answer 49

taking the ln of each side is not too difficult. You should have a button on your calculator that will help you calculate ln (1.081)

Answer 50

But I dont

Answer 51

Its fine just go on I will try someway to find this and learn

Answer 52

. . .I always used the ln button to solve these problems. My God, I apologize...

Answer 53

Its fine My school is very strict they want you do do everything on your own.... I am surprised This isn't blocked

Answer 54

I see.

Answer 55

Alright well have a good day