In order to understand the prehistory of the Hawaiian island of Lana'i better, anthropologists Maria Sweeney, Melinda Allen, and Boyd Dixon used radiocarbon dating on charcoal found in an ancient dwelling site, the Kaunolu Village National Historic Landmark, the largest archeological complex on the island. In one of their samples, they found that approximately 94% of the original carbon 14 remained.

Using the fact that Carbon 14 decays by 1.202% every 100 years, determine the approximate age of this sample.

In your word document, paste the Excel table you made to come up with your answer.

Answer / Step-by-step explanation:

From the narrative in the question, we have come to understand that what we are being asked to solve for is the time (t).

but before that, we need to understand what half life means: Half life is the time it takes for half of a particle to decay from its initial size.

Now, recalling the formula for calculating the life time of a particle, we have:

N(t) = N₀ e ∧ ₋t/r

where

N(t) is the amount at time t

N₀ is the original amount

Therefore,

In ( N(t) / N₀ ) = - t / r

Now, if we go forward to making time (t) the subject of formula,

we have,

t = -r In (N(t) / N₀)

= Now, if we insert the values properly, we have:

we will arrive at 96%

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076