Solve the Problem $67 \mathrm { yr }$ And the Initial Quantity Is

question 211

Multiple Choice

Solve the problem.
-If the half-life of an element is $67 \mathrm { yr }$ and the initial quantity is $3 \mathrm {~kg}$ , write a function of the form $Q ( t ) = Q _ { 0 } e ^ { - k t }$ to model the quantity of the element left after $t$ years. Round $k$ to 4 decimal places.

• A) \(Q ( t ) = 67 e ^ { - 0.0103 t }\)
• B) \(Q ( t ) = 67 e ^ { - 0.0034 t }\)
• C) \(Q ( t ) = 3 e ^ { - 0.0034 t }\)
• D) \(Q ( t ) = 3 e ^ { - 0.0103 t }\)

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Definitions:

Indifference Curves

Graphical representations in economics to show different combinations of goods or services among which a consumer is indifferent.

Advanced Calculus

A branch of mathematics focusing on the study of rates of change (differential calculus) and the accumulation of quantities (integral calculus), often dealing with more complex concepts than those in introductory calculus.

Risk Tolerance

An investor's capacity to endure market volatility and the possibility of losing money on investments.

Financial Security

An investment instrument issued by corporations, governments, or other entities that signifies ownership or a creditor relationship and promises payment of a financial obligation.