Model Exponential Growth and Decay
Solve $\mathrm { A } = \mathrm { A } _ { 0 } \mathrm { e } ^ { - 0.0077 \mathrm { x } }$

question 99

Multiple Choice

Model Exponential Growth and Decay
Solve.
-The function $\mathrm { A } = \mathrm { A } _ { 0 } \mathrm { e } ^ { - 0.0077 \mathrm { x } }$ models the amount in pounds of a particular radioactive material stored in a concrete vault, where $x$ is the number of years since the material was put into the vault. If 300 pounds of the material are initially put into the vault, how many pounds will be left after 140 years?

• A) 102 pounds
• B) 192 pounds
• C) 233 pounds
• D) 96 pounds

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Definitions:

Sunbelt Growth

The demographic expansion and economic growth in the southern and southwestern regions of the United States, particularly noted from the latter half of the 20th century onwards.

1950s

Describes the decade from 1950 to 1959, marked by post-World War II recovery, the beginning of the Cold War, and significant cultural and technological changes in the United States and globally.

Political Consequences

The effects or outcomes that political actions, decisions, or events have on a country, community, or individual's position and power within a political framework.

Economic Consequences

The financial outcomes resulting from specific actions, events, or decisions, impacting individuals, businesses, and economies.