Suppose That a School of Fish in a Pond Grows $\mathrm { P } ( \mathrm { t } ) = \mathrm { P } _ { 0 } \mathrm { e } ^ { \mathrm { kt } }$

question 34

Short Answer

Suppose that a school of fish in a pond grows according to the exponential law $\mathrm { P } ( \mathrm { t } ) = \mathrm { P } _ { 0 } \mathrm { e } ^ { \mathrm { kt } }$ and suppose that the size of the colony triples in 24 days. Determine k.
Enter your answer exactly in the form $\frac { \ln a } { \mathrm {~b} }$ where a, b are integers.

---

Definitions:

Parent Company

An entity that owns enough voting stock in another corporation to control its management and operations.

Subsidiary Company

A company controlled by another company, referred to as the parent company, through ownership of more than 50% of its voting stock.

Marketable Securities

Financial instruments that are easily convertible into cash due to their high liquidity and short maturity period.

Trading Securities

Financial instruments bought and held primarily for the purpose of selling them in the near term to profit from price changes.