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Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = -0.01p2 + 4p, where p and f(p) are in hundreds. Find the population that gives the maximum sustainable yield, and the size of the yield.
This year, 100 million test kits are expected to be sold. This represents a 122% increase form the number of kits sold last year. How many medical test kits were sold last year?
part of a $2900 investment earned interest at a rate of 6%, and the rest earned interest at a rate of 2%. The combined interest at the end of the year was $160. How much was invested at each rate?
B is the midpoint of AC. AB=8v, and AC=2v+42. What is BC?
The ones in each row indicate the choices of the person to the left of the row. For example, x chooses y and w as her best friends while y chooses x and z. Explain the moaning of the entries of the matrix AAt.
A group of friends decided to rent a vacation home for a week. They each paid $70 towards the rent. If three more friends had joined them, the cost per person would have been reduced by $14. How many friends went on the trip?
Use linear programming methods to find the maximum and Use linear programming methods to find the minimum
How many different 4-card hands are possible? How many different 4-card hands contain a number less than 7?
suppose the rectangular plot runs along a building, so that you need to fence only three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
If N is any positive integer, how many consecutive integers following N are needed to insure that at least one of the integers is divisible
Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet.
A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.5. If the daily earnings follow a normal distribution, what is the probability that the plumber earns between $135 and $175 on any given day?
a building cast shadow 230 meters long at the same time a pole 2 meters high casts a shadow 10 meters long. what is the height of the building.
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