Solve the Problem $\mathrm { A } = \mathrm { Ie } \mathrm { kt } , \mathrm { A }$

question 101

Multiple Choice

Solve the problem.
-In the formula $\mathrm { A } = \mathrm { Ie } \mathrm { kt } , \mathrm { A }$ is the amount of radioactive material remaining from an initial amount I at a given time $t$ and $k$ is a negative constant determined by the nature of the material. A certain radioactive isotope decays at a rate of $0.175 \%$ annually. Determine the half-life of this isotope, to the nearest year.

• A) \(286 \mathrm { yr }\)
• B) \(172 \mathrm { yr }\)
• C) \(396 \mathrm { yr }\)
• D) \(4 \mathrm { yr }\)

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Definitions:

Conflict Crime

Illegal activities that arise from or result in conflicts between individuals, groups, or nations.

Decriminalization

The process of removing criminal sanctions against certain acts, typically related to minor offenses or activities considered no longer socially harmful.

Legalization

The process of making certain actions or substances permissible and regulated by law, which were previously illegal.

Consensus Crime

A type of crime that is universally agreed upon by society as being wrongful and deserving of punishment.