Use the Exponential Decay Formula with Half-Lives to Find the Final

question 170

Multiple Choice

Use the exponential decay formula with half-lives to find the final amount. Round to the nearest tenth when necessary.
- $\begin{array}{c|c|c|c}\text { Original } & \text { Half-Life } \\\text { Amount } & \text { (in years) } & \begin{array}{c}\text { Number } \\\text { of Years }\end{array} & \begin{array}{c}\text { Final Amount after } \\\text { x Time Intervals }\end{array} \\\hline 400 & 8 & 52 &\end{array}$

• A) \(4.4\)
• B) \(1.6\)
• C) \(425.7\)
• D) \(359.5\)

---

Definitions:

Consequent

In a conditional statement, the consequent is the outcome or result that follows from the condition being met.

Fallacy

An erroneous argument based on unsound reasoning or misleading premises.

Affirming Consequent

A logical fallacy where one incorrectly infers the cause from an effect, specifically asserting that since the consequent is true, the antecedent must also be true.

Hypothetical Syllogism

A logical argument that has two premises followed by a conclusion, each of which is a conditional statement.