A living plant acquires a definite of ^14₆C nuclei in  

carbon content.If a

freshly cut piece of wood gives 16.1 counts per minute per grams

 and an old wooden bowl gives 9.6 counts per minute per grams of

carbon , calculate the age of the wooden bowl.The half-life of ^14₆C is                                                                                                                     5770 years.

ANSWER==4304 years

Initial:dN1/dT=N₀e^(-t)

Final:dN2/dT=N₀e^(-t')

Divide:.517=ln2/5770(T'')  =>

T"=4004.4.

I am not understanding.someone please explain. rates assured