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Q4 Q19.) Use the model to determine how many grams of​ carbon-14 will be present in 5670 years.

Q4 Q19.) Use the model to determine how many grams of​ carbon-14 will be present in-example-1
User El Roso
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1 Answer

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Hey there!

As according to your carbon-14 model, your equation to find the amount of Carbon-14 left after a certain number of years (t) is
A=16e^-0.000121t

Because you are trying to find the amount of carbon left after 5670 years, you can plug 5670 in for the value of t since t is the amount of years.

Your equation should look like this now:
A=16e^-0.000121(5670)

Now, simplify your equation to solve for the value of A, the amount of carbon left after t years:
A=16e^-0.000121(5670)
A=16e^-0.68607
A=16(0.503551)
A≈8.0568...

Therefore, there will be about 8 grams of carbon present after 5670 years.

Hope this helps and have a nice day! :)
User Bellkev
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