3. A wildlife manager counted 1800 mice ina 10-km² area of forest. It is predicted thatthe mouse population in this area willgrow exponentially according to thefunction P(t) = 1800e0.03/where P(t) is the>years.mouse population and t is the time, ina) How long will it take for the mousepopulation toi) doubleii) tripleb) Find the rate of change of the mousepopulation afteri) 10 yearsii) 25 yearsc) At what rate is the mouse populationgrowing at the time when its numberhas tripled?

Answered: 3. A wildlife manager counted 1800 mice…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a) The cost of first-class postage stamp was 7¢in 1965 and 70¢ in 2010.This increase represents exponential growth. Write the function S for the cost of a stamp t years after 1965 (t=0). b) What was the growth rate in the cost? c) Predict the cost of a first-class postage stamp in 2013, 2016,and 2019. d) The Forever Stamp is always valid as first-class postage on standard envelopes weighing 1 ounce or less, regardless of any subsequent increases in the first-class rate. An advertising firm spent $7000 on 10,000 first-class postage stamps in 2009. Knowing it will need 10,000 first-class stamps in each of the years 2010-2020, it decides at the beginning of 2010 to try to save money by spending $7000 on 10,000 Forever Stamps, but also buying enough of the stamps to cover the years 2011 through 2020. Assuming there is a postage increase in each of the years 2013, 2016, and 2019 to the cost predicted in part (c), how much money will the firm save…
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