Solve the problem.The population of a particular city is increasing at a rate proportional to its size. It follows the function  where k is a constant and t is the time in years. If the current population is 36,000, in how many years is the population expected to be 90,000? (Round to the nearest year.)

A. 18 yr
B. 13 yr
C. 31 yr
D. 185 yr


Answer: C

Mathematics

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Find the probability.The biology faculty at a college consists of 8 professors, 15 associate professors, 14 assistant professors, and 9 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.

A.
B.
C.
D.

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Solve the problem.What is the probability of a dart landing in the shaded region?(Assume that the x's represent equal measures and that the dart is equally likely to land in any region on the board.)

A.
B.
C.
D.

Mathematics

Solve the problem.A power outage affected all homes and businesses within a 12 mi radius of the power station. If the power station is located 10 mi north of the center of town, find an equation of the circle consisting of the furthest points from the station affected by the power outage.

A. x2 + y2 = 144 B. x2 + (y - 10)2 = 12 C. x2 + (y + 10)2 = 144 D. x2 + (y - 10)2 = 144

Mathematics

Provide an appropriate response.Find a polar equation for the parametric equations.x = f1( ?), y = f2( ?)

A. r = 
B. y = x tan ?
C. x2 + y2 = [ f1( ?) ]2 + [ f2( ?) ]2
D. r = [ f1( ?) ]2 + [ f2( ?) ]2

Mathematics