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: 16

Answer

The company will have around 685 employees after 5 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 = 984 r = $7\%$ per year x = 5 years Substitute these values into the given formula above to have: $y=984(1-7\%)^{5} \\y=984(1-0.07)^{5} \\y=984(0.93^{5}) \\y \approx 685$
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