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1. The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1995. Round your answer to 2 decimal places.--- billion people
2. A bacteria culture starts with `160` bacteria and grows at a rate proportional to its size. After `6` hours there will be `960` bacteria.
(a) Express the population `P` after `t` hours as a function of `t`.
P(t)=
(b) What will be the population after 2 hours?
(c) How long will it take for the population to reach 2570? Give your answer accurate to at least 2 decimal places.
Megan earns $20 an hour plus a $100 daily bonus. She uses a function to calculate her daily earnings. What is the inverse function of Megan's daily earnings function?
Find a piecewise-defined function P that specifies the price of the item after t years have passed. Let P(t) = the price of the item in dollars after t years have passed.
the peachtree airport in atlanta serves light aircraft. it has a single runway and one air traffic controller to land
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train
A particle is moving along the curve y=42x+5 . As the particle passes through the point (212), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Find the probability that a student selected at random out ofthe 200 takes neither math nor history nor English.
q1. suppose that g is a forest consisting of k trees t1 t2 ... tk. furthermore suppose that ti has order ni for
The goal is to approximate and then compute exactly the area between the x-axis and the graph of y = x2 + 1 with x between 0 and 2. (Use Left Hand Riemann Sum with 4 sub-intervals) Use Trapezoidal rule to approximate the area under sin(x) from x=0 to..
Find the exact length of the curve. use a graph to determine the parameter interval. R = cos2(θ/2)
Explain how the Fibonacci numbers arise in a variety of applications, such as in phyllotaxis, the study of arrangement of leaves in plants, in the study of reflections by mirrors, and so on.
At a certain time of day, the angle of elevation of the sun is 64°. To the nearest foot, find the height of a pole whose shadow at that time is 13 feet long.
Find the profit equation by substituting for R and C in the equation P=R-C, What is the profit made from selling 15 dvd players per month>
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