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80 points if you answer this question!
An artifact was found to have an original amount of Carbon-14 of 12 grams. Approximately how many grams of Carbon-14 remain after 5000 years? Carbon 14 decays at a rate of -0.00012 grams per year.

A. 6.6 grams
B. 7.1 grams
C. 10.4 grams
D. 11.2 grams

Respuesta :

Total amount of Carbon-14
[tex] = 12 - (0.00012 \times 5000)[/tex]
[tex] = 12 - 0.6[/tex]
[tex] = 10.4[/tex]
=C

Full marks answer

As per compound interest calculation, 6.6 grams of Carbon-14 will remain after 5000 years.

What is compound interest?

"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."

Given, the amount of Carbon-14 present now (P) = 12 grams.

The rate of decay (r) = - 0.00012.

Total time period (n) = 5000 years.

Therefore, Carbon-14 will remain after 5000 years is

[tex]= P(1 + r)^{n}[/tex]

[tex]= 12(1 - 0.00012)^{5000}[/tex] grams

= 6.6 grams

Therefore, 6.6 grams of Carbon-14 will remain after 5000 years.

Learn more about compound interest here: https://brainly.com/question/4460101

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