A Sample of a Radioactive Element Decays to 25% of Its

question 4

Multiple Choice

A sample of a radioactive element decays to 25% of its original number of radioactive nuclides in 48 years. What is the half-life of this radioactive element?

• A) 24 years
• B) 12 years
• C) 96 years
• D) 6 years
• E) 48 years

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Definitions:

Present Value

The now value of a future financial amount or series of cash flows, discounted at a particular rate of return.

Future Value

The value of an investment at a future date, considering compound interest or returns over time.

Amortized Loans

Loans that are paid off over time through a series of fixed, regular payments where part of each payment covers the interest expense and the remaining amount reduces the principal balance.

Balloon Payment

A large, one-time payment made at the end of a loan term to pay off the remaining balance, typically used in mortgage or bond agreements.