Question

Please i need the correct answer, no funny business.

Answer 1

Age of the spear head = 6349 years.

Explanation:

Expression to be used to calculate the age of the spear head,

`N_t=N_0e^(-kt)`

Here,
`N_t` = Final amount of C-14

`N_0` = Initial amount

`k` = 0.0001

`t` = Time in years

If
`N_t` = 53% of
`N_0` =
`N_0* (0.53)`

`0.53N_0=N_0e^(-0.0001* t)`

`0.53=e^(-0.0001t)`

`\text{ln}(0.53)=\text{ln}(e^(-0.0001t))`

`-0.634878=(-0.0001)t`

`t=6348.78` years

`t` ≈
`6349` years

Therefore, age of the spear head = 6349 years.