Solve the Problem $\mathrm { A } = \mathrm { A } _ { \mathrm { o } } \mathrm { e } ^ { - 0.0099 \mathrm { t } }$

question 183

Multiple Choice

Solve the problem.
-The function $\mathrm { A } = \mathrm { A } _ { \mathrm { o } } \mathrm { e } ^ { - 0.0099 \mathrm { t } }$ models the amount in pounds of a particular radioactive material stored in a concrete vault, where t is the number of years since the material was put into the vault. If 900 pounds of the
Material are placed in the vault, how much time will need to pass for only 204 pounds to remain? Round to the
Nearest year.

• A)155 yr
• B)300 yr
• C)150 yr
• D)160 yr

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Definitions:

Cortisol

A steroid hormone produced by the adrenal glands, often released in response to stress and low blood-glucose concentration.

Ghrelin

A hormone produced by the stomach that stimulates appetite, often termed the "hunger hormone."

Leptin

A hormone produced by fat cells that helps to regulate body weight by signaling satiety to the brain.

Sleeptalking

The occurrence of speaking during sleep without being aware of it, ranging from simple mumblings to complex dialogues, and often considered a benign sleep disorder.