The half-life of Carbon-14 is 5, 730 years. you find a sample where 1.5625% of the original Carbon-14 still remains how old is that sample ?

The sample is about 34380 years old.

Explanation:

The amount of Carbon-14 mass diminishes exponentially in time, whose model is described below:

(1)

(2)

Where:

- Initial mass, in grams.

- Current mass, in grams.

- Time, in years.

- Time constant, in years.

- Half-life, in years.

If we know that and , then the age of the sample is:

The sample is about 34380 years old.