Solve the Problem $\mathrm { D } ( \mathrm { h } ) = 6 \mathrm { e } ^ { - 0.4 \mathrm {~h} }$

question 12

Multiple Choice

Solve the problem.
-The function $\mathrm { D } ( \mathrm { h } ) = 6 \mathrm { e } ^ { - 0.4 \mathrm {~h} }$ can be used to determine the milligrams $\mathrm { D }$ of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after 9 hours?

• A) \(4.02 \mathrm { mg }\)
• B) \(0.16 \mathrm { mg }\)
• C) \(219.59 \mathrm { mg }\)
• D) \(0.82 \mathrm { mg }\)

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Definitions:

Cash Payback Period

The duration required for an investment to generate cash flows sufficient to recover the initial investment cost.

Useful Life

The estimated duration a fixed asset is expected to be productive for its intended use, impacting depreciation calculations.

Net Cash Flows

The amount of cash that is generated or lost by a business during a given period, taking into account cash inflows and outflows from operating, investing, and financing activities.

Annual Incomes

The total amount of income received annually from all sources before any deductions.