A farmer in China discovers a mammal
hide that contains 37% of its original
amount of C-14.
N = Noekt
No = inital amount of C-14 (at time
t=0)
N = amount of C-14 at time t
k= 0.0001
t = time, in years

A farmer in China discovers a mammal hide that contains 37 of its original amount of C14 N Noekt No inital amount of C14 at time t0 N amount of C14 at time t k class=

Respuesta :

Answer:

Step-by-step explanation:

I'm going to take a giant leap here and guess that you are looking for how old this mammal hide is. At least that's what I'm going to work out for you. Filling in the formula is relatively easy as long as we remember that the initial amount of hide was 100%:

[tex]37=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get

[tex].37=e^{-.0001t}[/tex] In order to get that t down from its current position, we have to take the natural log of both sides. The reason we do natural log as opposed to common log is because the natural log will cancel out the e:

[tex]ln(.37)=ln(e^{-.0001t})[/tex] and again, because the log cancels out the e we have:

ln(.37) = -.0001t and divide both sides by -.0001 to get

t = 9942.5 years

Answer:

answer is 9943

Step-by-step explanation: