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  • 03-04-2020
  • Mathematics
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What is the formula for this question?

What is the formula for this question class=

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MathPhys
MathPhys MathPhys
  • 03-04-2020

Answer:

2.7

Step-by-step explanation:

This can be modeled using exponential growth/decay.

A = P (1 + r)ⁿ

where A is the final amount,

P is the initial amount,

r is the rate of growth/decay,

and n is the number of cycles.

For half life problems, r = -½, and n = t / T, where t is time and T is the half life.

A = P (1 − ½)^(t/T)

A = P (½)^(t/T)

Given that P = 9, t = 10000, and T = 5730:

A = 9 (½)^(10000/5730)

A ≈ 2.7

There are approximately 2.7 mg of ¹⁴C left.

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