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Given that the age of the discovered bone is 8000 years, The original amount of carbon 14 that is in this bone is 38.29%
This is a method of radiocarbon that isused in the age determination of substances. That is after the dacay of nitrogen.
The formula that is used to determine the original amount of carbon 14 in the bone is given as:
[tex]y = ae^-^0^.^0^0^0^1^2^t[/tex]
The value of t is given as 8000.
What is to be done is to solve the equation using the value of t
[tex]y = ae^-^0^.^0^0^0^1^2^(^8^0^0^0^)[/tex]
= ae⁻⁰.⁹⁶
Solve for exp(-0.96)
y = 0.3829a
= 38.29%
Therefore the amount of carbon 14 that is in the bone is 38.29%
Read more on radiocarbon here: https://brainly.com/question/12693872