Question

Please i need the correct answer, no funny business.

Answer 1

Answer:

Age of the spear head = 6349 years.

Step-by-step 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 $N_0$ = $N_0\times (0.53)$

$0.53N_0=N_0e^{-0.0001\times t}$

$0.53=e^{-0.0001t}$

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

$-0.634878=(-0.0001)t$

$t=6348.78$ years

$t$ ≈ $6349$ years

Therefore, age of the spear head = 6349 years.