Answer:
The rock is 10,544 years old.
Explanation:
The half-life is the time that a mass of a compound decays by half. It means that at every 5,272 years, the mass of Cobalt-60 will be reduced by half. The mass after n half-lives can be calculated by:
[tex]m = \frac{m_{0}}{2^n}[/tex]
Where [tex]m_{0}[/tex] is the initial mass.
6.25 = 25/2ⁿ
2ⁿ = 25/6.25
2ⁿ = 4
2ⁿ = 2²
n = 2 half-lifes
The time passed is
t = half-life * n
t = 5,272*2
t = 10,544 years.
The rock is 10,544 years old.
