A certain animal species can increase its population exponentially. If the population can reach 1,000 in 15 yearsand triples this for another 10 years, approximately how many were initially present? Find the function of thepopulation growth of this species at any given time. [a]A. P= 235e0.063942B. 193e0.10986t%3DC. P= 384e0.07:324tD. P= 150e0.09643t

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Answered: A certain animal species can increase…

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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In 2002, a company sold 2,480 units. The company's accountant noticed a 5.2% continuous annual increase in the number of units sold between 2002 and 2008. a. Identify a natural exponential function N(f) that models the number of units sold by the company, where t is the number of years after 2002. O N(t) = 2,480 (0.052)* O N(t).= 2,480 e5.2 t %3D N (t) = 2,480 (5.2)t O N(t) = 2,480 e0.052 t b. Find and interpret N(4). 4,004; In the year 2006, the number of urs sold by the company was approximately 4,004 units. 4,004; The number of units sold by the company was increased by 4,004 units since 2006. 3,053; In the year 2006, the number of units sold by the company was approximately 3,053 units. 3,053; The number of units sold by the company was increased by 3,053 units since 2006. c. If this growth rate continues, use your model to estimate when the company will sell approximately 8,000 units. Solve algebraically and round your answer to the nearest whole number. Number years after 2002,…
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