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: 1

Answer

Final amount after $x$ years of growth is approximately $451$.

Work Step by Step

RECALL: Eponential 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 = 305 r = $5\%$ x = 8 years Substitute these value into the given formula above to have: $y=305(1+5\%)^8 \\y=305(1+0.05)^8 \\y=305(1.05^8) \\y=450.6239104 \\y\approx 451$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.