Use the Fact That the Quantity of a Radioactive Substance

question 41

Multiple Choice

Use the fact that the quantity of a radioactive substance after t years is given by , where is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay) . The half-life of carbon-14 is 5600 years. Find the amount of carbon-14 remaining after 11,500 years if Round your answer to four decimal places if required.

• A) 29.2547 g
• B) 57.4609 g
• C) 0.0001 g
• D) 9.8764 g
• E) 20.5 g

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Definitions:

Revenues

The sum of money a business acquires from selling goods or offering services over a certain time frame.

Households

Economic units that represent all individuals living in a single dwelling, sharing income and expenses; primary consumers in the economy.

Centrally Planned Economies

Economic models in which all decisions about what to produce and how to distribute goods and services are made by the government or a central body.

Resource Allocation

The process of assigning and distributing available resources to various uses in the most efficient way.