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A population of minnows in a lake is estimated to be 100,000 at the beginning of the year 2005. Suppose that t years after the beginning of 2005 the rate of growth of the population p(t) (in thousands) is given by p′(t) = (3 + 0.12t)3/2. Estimate the projected population at the beginning of the year 2010.
You determine that 1 ounce of the peanut butter contains 115 calories and 9 grams of fat. What percent of calories come from fat?
From the top of a 215 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
If the cables to be delivered are selected at random, how many of the cables are expected to have a strength less than 1910 pounds?
Suppose you are committed to owning a $199,000 Ferrari. If you believe your mutual fund can achieve a 12 percent annual rate of return and you want to buy the car in 9 years on the day you turn 30, how much must you invest today?
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
what is the number of fish? six months what is the total number of fish? One year after,what are the total number of fish. Round to the nearest whole number.
Each week the company has 1200 pounds of peat, 800 pounds of perlite, and 600 pounds of organic material available. How many 20-pound bags of each mix should be packaged in order to maximize weekly profit?
Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.
a triangle has sides that are of unknown lengths, but if one side is 12 x, the other sides are 5x and 6 x. Its perimeter is 52 inches. Determine the length of each side, show the steps of your answer clearly, check your answer and then state you a..
an initial population of 370 quail increases at an annual rate of 18% write an exponential function to model the quail population and what will the approximate population be after 4 years?
what is the volume in cubic centimeters of a tablet weighing 330mg that has density of 1.40cm ?
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