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Solve the Problem A=A0e0.00693x\mathrm { A } = \mathrm { A } _ { 0 } \mathrm { e } ^ { - 0.00693 \mathrm { x } }

question 53

Multiple Choice

Solve the problem.
-The function A=A0e0.00693x\mathrm { A } = \mathrm { A } _ { 0 } \mathrm { e } ^ { - 0.00693 \mathrm { x } } models the amount in pounds of a particular radioactive material stored in a concrete vault, where xx is the number of years since the material was put into the vault. If 800 pounds of the material are placed in the vault, how much time will need to pass for only 492 pounds to remain?

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Definitions:

Continental Crust

The thick part of the Earth's crust that forms the continents, characterized by its buoyancy and primarily granitic composition.

Passive Margin

A type of continental margin that is not an active plate boundary, characterized by little volcanic and earthquake activity.

Indonesian Earthquake

A seismic event occurring in Indonesia, a country prone to earthquakes due to its location on the Pacific "Ring of Fire."

Tsunami

A large sea wave produced by uplift, subsidence, or some other disturbance of the seafloor, especially by a shallow submarine earthquake.

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