The Age of an Ancient Artifact Can Be Determined by the Amount

question 8

Short Answer

The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in it. If $D _ { 0 }$ is the original amount of carbon-14 and D is the amount remaining, then the artifact's age A (in years) is given by $A = - 8267 \ln \left( \frac { D } { D _ { 0 } } \right)$ Find the age of an object if the amount D of carbon-14 that remains in the object is 50% of the original amount $D _ { 0 }$ .

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Definitions:

Capital

Financial assets or the financial value of assets, such as cash or goods, used to generate income.

Isoquant

A curve on a graph representing combinations of inputs that result in the production of the same quantity of output, used in the analysis of production function and input optimization.

Slope

Refers to the steepness or inclination of a line on a graph, representing the rate of change between two variables.

Marginal Rate

Typically refers to the rate at which one additional unit of something affects the overall outcomes, often used in contexts like marginal tax rate or marginal rate of substitution in economics.