Question

Situation: A student in Greece discovers a pottery bowl that contains 65% of its original amount of C-14.

N0=Initial amount of C-14 (at time t=0)
N= amount of C-14 at time t
t= time, in years
k=0.0001

Find the age of the pottery bowl to the nearest year.

Answer 1

Hi @yourgirlbri !

Answer 2

You can use the following formula
\(\sf N=N_0e^{-kt}\)

Answer 3

I don't understand how to plug it in :(

Answer 4

Are you familiar with logarithms and natural logarithms?

Answer 5

not really.. I have a calculator though and I've just been plugging stuff in

Answer 6

Fine, I'll show you how to plug in values for this question.

Answer 7

7340? (somebody told me this was the best answer idk)

Answer 8

Given,
N0=Initial amount of C-14 (at time t=0)
N= amount of C-14 at time t
k=0.0001

To find,
t= time, in years

\(\sf N=N_0e^{-kt}\\ \Rightarrow N/N_0=e^{-kt} \\ \Rightarrow 0.65=e^{-0.0001t}\)

Now taking natural logs both sides we get

ln(0.65)=-0.0001 x t

Solve for t now

Answer 9

I literally don't understand at all... and I have 20 questions due tomorrow fml

Answer 10

What part you don't understand?

Answer 11

honestly, all of it

Answer 12

You simply have to plug in the given values to find the unknown one. Try reading what I posted again.

Answer 13

are you multiplying k and t?

Answer 14

I got 4308 is that right?

Answer 15

Yes, It's right!

Answer 16

is there an easier way to easily plug in with other questions similar?

Answer 17

I am afraid there is not in my knowledge yet.