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Suppose that each pair of a genetically engineered species of rabbits left on an island produces two new pairs of rabbits at the age of 1 month and six new pairs of rabbits at the age of 2 months and every month afterward. None of the rabbits ever die or leave the island.
a) Find a recurrence relation for the number of pairs of rabbits on the island n months after one newborn pair is left on the island.
b) By solving the recurrence relation in (a) determine the number of pairs of rabbits on the island n months after one pair is left on the island.
A machine to mill a brass plate has a setup cost of $600 and a unit cost of $3 for each plate manufactured. A bigger machine has a setup cost of $800 but a unit cost of only $2 for each plate manufactured. Find the break point.
Felipe wants to have $15,200 in 10 years. Use the present value formula to calculate how much he should invest now at 16% interest, compounded quarterly in order to reach his goal.
two roads intersect at 34 degrees. two cars leave the intersection on diff roads at speeds of 80kmh and 100 kmh. after
You withdraw $10 from a bank account once a week for four weeks. What integer Expresses the change in value?
the region in the first quadrant enclosed between the graph of y = ax -x2 and the x-axis generates the same volume whether it is revolved about the x-axis or the y-axis. use analytic methods to find the value of a.
The Great blue hole is a cylindrical trench located on lighthouse reef atoll, an island off the coast of belize. it is about 400 feet deep and holds about 2,349,911,302 gallons. how long will it take to swim across the great blue hole at a rate of..
find an ad from a newspaper,the internet,telephone book,sales paper, magazine or another source that advertise products were you can apply your knowledge of slope.
A farmer wants to enclose a rectangular grazing area using an existing fence on one side and 244 feet of new fencing on three sides. If the length of the rectangle is supposed to be twice as long as it is wide, what are the dimensions of the enclo..
1. why does a mortgage lender sometimes sell a mortgage? how is this beneficial? how is it bad? explain your
Write a formula for the velocity of the object as a function of time t. What should be the velocity of the object when it reaches its highest point? What is the maximum height reached by the object?
The results of a recent study regarding smoking and three types of illness are shown in the following table.
Use the laws stated in the text to find simpler formulas equivalent to these formulas. Explain the reasoning that you used to find your solution.
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