Answer
$C(N)=15000+800,000t-40000t^2$
Work Step by Step
We have:
$N(t)=100t-5t^2$ and $c(N)=15000+8000N$
Therefore, the composite function will be:
$C(N)=C[N(t)]=C(t) \\ =15000+8000N \\ =15000+8000(100t-5t^2) \\=15000+800,000t-40000t^2$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.1 Composite Functions - 4.1 Assess Your Understanding - Page 280: 69
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