Solve the problem.Use the formula P = Iekt, where P is the resulting population, I is the initial population, and t is measured in hours. A bacterial culture has an initial population of 10,000. If its population declines to 5000 in 6 hours, what will it be at the end of 8 hours?

A. 3969
B. 1985
C. 4353
D. 2500


Answer: A

Mathematics

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Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.Suppose that the speed of a train approaching a station is given by v (t) = (t - 8) 2, for 0 ? t ? 8, where t is measured in seconds and v(t) is measured in meters per second. Find v'(5).

A. v'(5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/s2 at t = 5 s. B. v'(5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/s2 at t = 5 s. C. v'(5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/s2 at t = 5 s. D. v'(5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s.

Mathematics

Fill in the blank with one of the words or phrases listed below.A(n)  graph displays information with a line that connects data points.

A. line B. circle C. histogram D. bar

Mathematics

Write the phrase as a variable expression. Use x to represent "a number."A number divided by -10

A. -10x
B.
C.
D. x - (-10)

Mathematics

Solve the problem.In 1990, a company's profit was 44.6 million dollars. In 2000, the company's profit was 121.2 million dollars. Assume that the growth of the company's profit follows the exponential model and use 1990 as the base  Estimate what the company's profit will be in 2010.

A. $247.2 million B. $659.1 million C. $593.2 million D. $329.6 million

Mathematics