If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? round the answer to the nearest hundredth.

35.34 atoms will be present after 14,325 years.

Step-by-step explanation:

Given : Carbon-14 has a half-life of approximately 5,730 years. This exponential decay can be modeled with the function N(t) = N0. If an organism had 200 atoms of carbon-14 at death.

To find : How many atoms will be present after 14,325 years?

Solution :

The half-life exponential function modeled is

Where, is the initial atoms

N is the total number of atoms.

t=14,325 years is the time  

h=5,730 years is the half-life time

Substitute the value in the formula,

Therefore, 35.34 atoms will be present after 14,325 years.