Solve the Problem $\mathrm { A } ( \mathrm { t } ) = 1000 ( 2.718 ) ^ { - 0.032 t } ,$

question 136

Multiple Choice

Solve the problem.
-A sample of 1000 g of lead-210 decays to polonium-210 according to the function given by $\mathrm { A } ( \mathrm { t } ) = 1000 ( 2.718 ) ^ { - 0.032 t } ,$ where t is time in years. What is the amount of the sample, to the nearest gram, after 40 years?

• A)3596 g
• B)16 g
• C)202 g
• D)278 g

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Definitions:

Shelter

A structure that provides protection from the environment, including homes, buildings, and temporary accommodations.

Physiological Need

A basic bodily requirement that people need to survive, such as food, water, and shelter.

Maslow Hierarchy

A theory of human motivation depicted as a pyramid, with basic needs at the base ascending to self-actualization needs at the top.

Level Of Needs

The ranked priorities of needs that individuals strive to fulfill, often depicted in a hierarchical order, such as Maslow's hierarchy of needs.