Solve the problem.Suppose an isolated island has a native population of 8000 and a person from a visiting ship introduces a disease which has an infection rate of 0.00005. Assume that the rate of spread of the disease satisfies the following logistic equation:  = ky, where N is the size of the population and y is the number infected at time t.Write an equation for the number of natives who remain uninfected after t days.

A. = 
B. = 
C. = 
D. = 


Answer: A

Mathematics

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 7e-x2, y = 0, x = 0, x = 1

A. 7(e - 1) ?
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Express as a single logarithm, and, if possible, simplify.4 loga y + 5 loga z

A. loga (y4z5) B. loga (4y5z) C. loga (yz)9 D. loga (y5z4)

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The nth term of a sequence is given. Find the first 4 terms.an = 3n - 7

A. -4, 13, 2, 19 B. 10, -1, 2, 5 C. -4, -1, 2, 5 D. 3, -1, 2, 5

Mathematics