A Lake Is Stocked with 545 Fish of a New $P ( t ) = \frac { 3406 } { 1 + 5.07 e ^ { - 0.25 t } }$

question 198

Multiple Choice

A lake is stocked with 545 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 3406. The population of fish in the lake after time t, in
Months, is given by the function P(t) $P ( t ) = \frac { 3406 } { 1 + 5.07 e ^ { - 0.25 t } }$ . After how many months will the population be 2405?

• A) 7 mo
• B) 12 mo
• C) 17 mo
• D) 10 mo

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Definitions:

Risk-Free Rate

The risk-free rate is the theoretical return on an investment with zero risk, serving as a benchmark for measuring investment performance.

Market Risk Premium

The additional return an investor expects from holding a risky market portfolio instead of risk-free assets, critical for assessing investment risk.

Risk-Free Rate

The risk-free rate is the theoretical return on investment with no risk of financial loss, often represented by the yield on government securities.