Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.4 - Exponential Growth and Decay functions - Exercise Set - Page 564: 15

Answer

The company will have around $383$ employees after 10 years.

Work Step by Step

This involves exponential decay the number of employees is decreasing each year. RECALL: Exponential decay is represented by the formula $y=C(1-r)^x$ where C = initial/original amount r = decay rate x = number of time intervals The given situation has: C = 640 r = $5\%$ per year x = 10 years Substitute these values into the given formula above to have: $y=640(1-5\%)^{10} \\y=640(1-0.05)^{10} \\y=640(0.95^{10}) \\y \approx 383$
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