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lbvjy [14]
3 years ago
12

The amount of​ carbon-14 present in animal bones t years after the​ animal's death is given by ​P(t)= -0.00012097t. How old is a

n ivory tusk that has lost 34​% of its​ carbon-14?
Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

I believe the equation you gave is wrong because the standard form of equation for C-14 decay is in the form of:

A = Ao e^-kt

So I think the right form of equation is (correct me if I’m wrong):

 P(t) = Po e^(-0.00012097t)

Where,

Po = initial value of C-14 at t = 0

t = time elapsed

Since it is given that:

P = (1 – 0.34) Po

P = 0.66 Po

Therefore, t is:

0.66 Po = Po e^(-0.00012097 t)

0.66 = e^(-0.00012097 t)

taking ln of both side:

ln 0. 66 = -0.00012097 t

t = - ln 0. 66 / 0.00012097

t = 3,434.86 years

 

<span>Therefore the ivory tusk is about 3,435 years old.</span>

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