Solve the Problem $P ( t )$ Of a Bacteria Culture Is Given By

question 25

Multiple Choice

Solve the problem.
-The population $P ( t )$ of a bacteria culture is given by $P ( t ) = - 1,500 t ^ { 2 } + 48,000 t + 18,000$ , where $t$ is the time in hours after the culture is started. Determine the time(s) at which the population will be greater than 388,500 organisms.

• A) The population will be greater than 388,500 organisms from \(19 \mathrm { hr }\) after the culture is started.
• B) The population will be greater than 388,500 organisms from \(25 \mathrm { hr }\) after the culture is started.
• C) The population will be greater than 388,500 organisms between \(13 \mathrm { hr }\) and \(25 \mathrm { hr }\) after the culture is started.
• D) The population will be greater than 388,500 organisms between \(13 \mathrm { hr }\) and \(19 \mathrm { hr }\) after the culture is started.

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Definitions:

Horizontal Analysis

A method of financial assessment that involves examining past financial records across various reporting intervals to discern tendencies and patterns of growth.

Income Statements

Financial reports that outline the profits or losses of a company by detailing revenues and expenses over a particular period, also known as profit and loss statements.

Trial Balance

A trial balance is a bookkeeping report that lists the balances of all general ledger accounts of a company at a specific time, used to verify the equality of debits and credits.

Ledger

A book or collection of financial accounts where transactions are recorded, including credits and debits, typically categorized for easy tracking.