Answer
$12.57$ billion.
Work Step by Step
With the given model function
$f(x)=\frac{12.57}{1+4.11e^{-0.026x}}$
Let $t\to\infty$; we have $4.11e^{-0.026x}\to0$ and $f\to12.57$ billion.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Section 3.5 - Exponential Growth and Decay; Modeling Data - Exercise Set - Page 507: 42
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