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Question: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 10,000. The number of fish tripled in the first year.
(a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years.
(b) How long will it take for the population to increase to 5000?
At a company, there are n more male employees than female employees. If there are k male employees at the company, what fraction of the employees are male, in terms of n and k?
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
If a cylindrical container is filled to a depth of d cm by pouring in V cc of liquid, what is a graph that shows d versus V?
Compare and contrast all methods of solving systems of linear equations with two variables. Explain which method you prefer and why. Support your answer by providing appropriate examples.
Probability : Percentage of Defective Chips and Normal Distribution, A student needs 12 chips of a certain type to build a circuit. It is known that 5% of these chips are defective.
the average weekly income of teachers in one school district is 390 with a standard deviation of $45. find the percent of teachers earning more that $425 a week.
What percentage of the people who will improve their credit records within the next three years are the ones who currently who have good credit ratings?
the measures of three of the angles of a quadrilateral are 67 degrees 112 degrees and 55 degrees. what is the measure of the fourth angle?
We would like to build such a network in order to minimize the total building and transportation costs, so that all demand is met. Formulate the problem as an integer programming problem.
A particle has position function r(t). If r'(t)=c x r(t), where c is a constant vector, describe the path of the particle.
Provide basic information about the BMI difference
Determine the fourier series for the function:- F(x) = 2x in the range -pi to pi and are periodic the the period 2pi. Sketch both the expected and fourier series graphs and use mathcad to check
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