How to Calculate the Remaining Mass of a Radioactive Substance Over Time?

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The discussion focuses on calculating the remaining mass of a radioactive substance with an initial mass of 300mg and a half-life of 2 years. The equation derived to model the mass over time is A = 300 * 2^(-t/2). After 12 years, the remaining mass is calculated to be 4.6875mg, which should be explicitly stated with units as A = 4.6875mg for clarity.

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mathdrama
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Basically need more help checking my answers, I think it's better if I provide the full context:

A radioactive substance with an initial mass of 300mg has a half-life of 2 years.

a) Write an equation to model the mass of the material over time.

Let A = mass of the material
Let t = time

A = 300*2^(-t/2)

b) What mass will remain after 12 years?A = 300*2^(-t/2)
A = 300*2^(-12/2)
A=300*2^(-6)
A=300*1/2^6
A=300*1/64
A=75*1/16
A=75/16
A=4.6875
 
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That answer is numerically correct, but you should state the units: A=4.6875mg.
 

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