The age in years of the Egyptian papyrus, the Aboriginal charcoal, the Mayan headdress, and the Neanderthal skull are 4000 years, 13106.5years , 2040 years, and 30353 years respectively.
<h3>What is the half-life of a radioactive material?</h3>
The half-life of a radioactive material is the time taken for half the atoms present in the material to decay or disintegrate.
The half-life,
, the age, t, and amount remaining,
, of a radioactive material are related by the formula below:
Half-life of carbon-14 = 6000 years
For the Egyptian papyrus with 63% of its original carbon-14 atoms:![t = \frac{6000*0.63}{-0.63} = 4000\:years](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B6000%2A0.63%7D%7B-0.63%7D%20%3D%204000%5C%3Ayears)
For the Aboriginal charcoal with 22% of its original carbon-14 atoms:
![t = \frac{6000*0.22}{-0.63} = 13106.5\:years](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B6000%2A0.22%7D%7B-0.63%7D%20%3D%2013106.5%5C%3Ayears)
For the Mayan headdress with 79% of its original carbon-14 atoms:
![t = \frac{6000*0.79}{-0.63} = 2040\:years](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B6000%2A0.79%7D%7B-0.63%7D%20%3D%202040%5C%3Ayears)
Neanderthal skull with 3% of its original carbon-14 atoms:
![t = \frac{6000*0.03}{-0.63} = 30353\:years](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B6000%2A0.03%7D%7B-0.63%7D%20%3D%2030353%5C%3Ayears)
Therefore, the age in years of the Egyptian papyrus, the Aboriginal charcoal, the Mayan headdress, and the Neanderthal skull are 4000 years, 13106.5years , 2040 years, and 30353 years respectively.
Learn more about half-life at: brainly.com/question/26689704
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