Answer
${{\$}} 42,395.90$
Work Step by Step
Contiuous compounding is modeled by $A=Pe^{rt}$.
Here, $P=2000, r=0.31, t=10$
$A=2000e^{0.31(10)}\approx 44395.90256$
The interest earned is the difference
$44,395.90-2000={{\$}} 42,395.90$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 9 - Section 9.2 - Exponential Functions and Models - Exercises - Page 645: 88
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