Question

An archaelogist in Turkey discovers a

spear head that contains 63% of its
original amount of C-14.
N = Noe -kt
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
Find the age of the spear head to the nearest
year.

Answer 1

The age of the spear head is approximately 7216 years old.

Step-by-step explanation:

The age of the spear head can be calculated using the formula N = Noe-kt, where N is the amount of C-14 at time t, No is the initial amount of C-14, k is the decay constant, and t is the time in years.

In this case, we are given that the spear head contains 63% of its original amount of C-14. Using N/No = 0.63, we can solve for t:

N/No = e-kt

0.63 = e-0.0001t

ln(0.63) = -0.0001t

t ≈ 4620years

Therefore, the age of the spear head is approximately 4620 years old.