Solve the Problem $900 \mathrm {~g}$ Of Lead-210 Decays to Polonium-210 According to the Function Given

question 58

Multiple Choice

Solve the problem.
-A sample of $900 \mathrm {~g}$ of lead-210 decays to polonium-210 according to the function given by $\mathrm { A } ( \mathrm { t } ) = 900 \mathrm { e } ^ { - 0.032 \mathrm { t } }$ , where $t$ is time in years. What is the amount of the sample after 50 years (to the nearest g) ?

• A) \(182 \mathrm {~g}\)
• B) \(132 \mathrm {~g}\)
• C) \(4458 \mathrm {~g}\)
• D) \(28 \mathrm {~g}\)

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Definitions:

Pareto Optimal

A situation in the economy where optimizing the allocation of resources means that improving one person's situation leads to a decline in another's.

Public Goods

Goods that are non-excludable and non-rivalrous, meaning that individuals cannot be effectively excluded from use, and use by one individual does not reduce availability to others.

Private Consumption

The total value of all goods and services consumed by private households.

Pareto Efficient

An economic state where resources are allocated in a way that it is impossible to make any one individual better off without making at least one individual worse off.