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: 6

Answer

The final amount after 12 years of growth is approximately $8,796$.

Work Step by Step

RECALL: Exponential growth is represented by the formula $y=C(1+r)^x$ where C = initial/original amount r - growth rate x = number of time intervals The given exponential growth has: C = 29 r = $61\%$ x = 12 years Substitute these values into the given formula above to have: $y=29(1+61\%)^{12} \\y=29(1+0.61)^{12} \\y=29(1.61^{12}) \\y=8,796.471709 \\y\approx 8,796$
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