Respuesta :

Answer:

5249 years

Step-by-step explanation:

Half-Life of Carbon-14 is approximately 5730 years.

When we want to determine the age of a fossil using carbon dating, we use the formula:

[tex]t=\dfrac{\ln(N/N_0)}{-0.693} \cdot t_{1/2}[/tex]

Where:

  • [tex]t_{1/2}[/tex]  is the half-life of the isotope carbon 14,
  • t = age of the fossil (or the date of death) and
  • ln() is the natural logarithm function

In this case:

N(t)=100

[tex]N_o=53\\t_{1/2}\approx 5730$ years[/tex]

Therefore, the age of the mummy

[tex]t=\dfrac{\ln(53/100)}{-0.693} \cdot 5730\\=5249.43$ years\\t \approx 5249$ years[/tex]

Answer:

the answer is 6349 :)

Step-by-step explanation:

Someone put the correct answer in the comments so I figured I would put it here so you wouldn't miss it :) (It is correct I have tested it)