Question

Help on Exponential Growth and Decay..

Answer 1

So in order to write down the equation in full we need to work out A0 and k, correct?

Answer 2

Um I think so. Im not sure this is my first time with this problem.

Answer 3

We have

\[A(t) = A _{0}e ^{kt}\]

Answer 4

We need to define the t=0 point at the year 2000 so that will allow us to work out A0. We know that A = 5.95m at t=0 so what do you think A0 will be?

Answer 5

What?? My example had me do this..

A= A0e^kt
11=5.95e^k*60

Divide both sides by 5.95

Ln(11 over 5.95) =60k

Divide both sides by 60

k=0.10

A= 5.95e^0.10t

Divide both sides by 5.95

Ln (9 over 5.95)= Ln(e^0.10t)

Divide both sides by 0.10

t=2.716

Answer 6

Im not sure if 0.10 is correct though.

Answer 7

@IrishBoy123

Answer 8

I get k = 0.01

Answer 9

Opps. Yeah I just saw that. I now get t= 41.38333578

Answer 10

That sounds better. 2041 to get to 9 million

Answer 11

Well done!!

Answer 12

Okay.. So the answer to A is 41.3 or 41.4 or just 41?

Answer 13

The answer is, the year 2041

Answer 14

Isnt that the answer to B?

Answer 15

Yes that's B

For A they're just asking for the exponential growth function and you know what that is because you've found A0 and k

Answer 16

No I don't know what it is or I wouldn't be asking for clarification.