University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 7 - Section 7.2 - Exponential Change and Separable Differential Equations - Exercises - Page 410: 33

Answer

See the explanation below.

Work Step by Step

Given: $y(0)=1147$ when the population continues to decline at 39% per year, then we have $y(20)= 1147 (1-0.39)^{20} \\ \implies y(20) \approx 0.06$ Thus, $y(20) \lt 1$ Hence, the species will be extinct.
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