SOLUTION: Having trouble getting started and really appreciate any assistance/direction. An animal skeleton was un-earthed during a certain geological excavation. It has been determined

Question 115799: Having trouble getting started and really appreciate any assistance/direction.
An animal skeleton was un-earthed during a certain geological excavation. It has been determined that the skeleton lost 84% of its carbon-14 content. How old was the animal at the time of its death?
Thank you.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An animal skeleton was un-earthed during a certain geological excavation. It has been determined that the skeleton lost 84% of its carbon-14 content. How old was the animal at the time of its death?
---------------------
Using Google you can find the half-life of carbon 14 to be 5700 yrs.
---------------------
Then the half-life formula is:
A(t) = Ao (1/2)^(t/5700)
------------------
Your Problem becomes:
0.84Ao = Ao (1/2)^(t/5700)
0.84 = (1/2)^(t/5700)
Take the log of both sides to get:
log(0.84) = (t/5700)*log(1/2)
t/5700 = log(0.84)/log(1/2)
t/5700 = 0.2515388...
t = 1433.77 yrs.
===================
Cheers,
Stan H.

RELATED QUESTIONS
I am having the hardest trouble with college algebra and precalculus. I really really... (answered by sachi)

Appreciate your help in accomplishing this problem. This is an instructor generated... (answered by stanbon)

I am having trouble trying to figure out how the correct answer came to -4, when the... (answered by josmiceli)

Amy paid $57.38 for a pair of running shoes during a 30% off sale. What was the regular... (answered by scott8148)

I am trying to help my son with his homework. I am having trouble with this problem. I... (answered by stanbon)

I really need help with this word problem I am just totally stuck and confused. I would... (answered by edjones,Nate)

Dear tutor i'm studying for the GRE and i'm having a lot of trouble translating the math... (answered by Fombitz,jojo14344)

I am having trouble figuring out how to find the domain , range, horizontal asymptote,... (answered by scott8148)

hi i am a 45 y/o and just starting back to school...we are working with linear equations... (answered by nidz)