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an artifact originally had 16 grams of carbon -14 present. The decay model A=16e^-0.000121t describes the amount of carbon-14 present after t years. how much carbon-14 will be present after 5657 years

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boffeemadrid

Answer:

[tex]8.115\ \text{g}[/tex]

Step-by-step explanation:

The decay model or the mass remaining after [tex]t[/tex] years have passed is

[tex]A(t)=16e^{-0.00012t}[/tex]

Now

[tex]t[/tex] = Time taken in years = [tex]5657\ \text{years}[/tex]

[tex]A(5657)=16e^{-0.00012\times 5657}[/tex]

[tex]\Rightarrow A(5657)=8.115\ \text{g}[/tex]

Carbon present after 5657 years is [tex]8.115\ \text{g}[/tex].

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