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 0.00006. 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 infected natives after t days.

A. = 
B. = 
C. = 
D. = 


Answer: D

Mathematics

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Use the half-angle formulas to evaluate the given function.cos 

A. 0.2588 B. 0.3660 C. 0.7934 D. 0.9659

Mathematics

Use a special product formula to simplify.(p + 3q)(p - 3q)

A. p2 - 6q2 B. p2 - 9q2 C. p2 + 6pq - 9q2 D. p2 - 6pq - 9q2

Mathematics

Find the amount of any refund or tax due. The letter following the name indicates marital status. Assume a 52-week year and that married people are filing jointly. Use $3700 for each personal exemption; a standard deduction of $5800 for single people, $11,600 for married people, and $8500 for head of household; and the tax rate schedule. 

A. $11,601.17 refund B. $477.57 refund C. $477.57 due D. $11,601.17 due

Mathematics

Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and the origin.x4 + y4 = 6

A. x-axis only B. x-axis, y-axis, origin C. Origin only D. y-axis only

Mathematics