Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 657: 29

Answer

$2.1*e^{0.001t}$

Work Step by Step

We can convert the general function of: $f(t)=A*b^{t}$ as: $f(t)=Q_0*(e^k)^t=Q_0*e^{kt}$ In the exercise, we have: $f(t)=2.1*1.001^{t}$ In order to get the desired form of the function we have to convert: $1.001=e^k$ We can use the logarithm for this: $\log_e{1.001}=k$ $\ln{1.001}=0.001=k$ Therefore the result will be: $2.1*e^{0.001t}$
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.