Afarmer in china discovers a mammal hide that contains 37% of its original amount of c-14. find the age of the mammal hide to the nearest year.

54678 years

Step-by-step explanation:

This can be solved by the following equation:

(1)

Where:

is the quantity of atoms of carbon-14 left after time

is the initial quantity of atoms of C-14 in the mammal hide

is the rate constant for carbon-14 radioactive decay

is the time elapsed

On the other hand, has a relation with the half life of the C-14, which is :

(2)

Substituting (2) in (1):

(3)

Applying natural logarithm on both sides of the equation:

(4)

(5)

Isolating :

(6)

(7)  This is the age of the mammal hide

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a

step-by-step explanation:

strong negative correlation