Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - Review Exercises and Problems for Chapter Four - Page 178: 44

Answer

(a) Initial investment is $\$ 2500$ and decreases at an annual rate of $4.34 \%$, compounded continuously. b) The initial value of the investment is $\$ 4600$ and grows by $6 \%$ compounded monthly. c) The initial value of the investment is $\$ 8000$ and decreases $(50 \%)$ of its value every 14 years. d) It grows by $250 every year.

Work Step by Step

(a) The initial value of the investment is $\$ 2500$ and decreases at an annual rate of $4.34 \%$ , compounded continuously. b) The initial value of the investment is $\$ 4600$ and grows by $6 \%$ compounded monthly. Note that $ V=4000(1.005)^{12 t}= 4000(1+6/12)^{12 t} $ (c) The initial value of the investment is $\$ 8000$ and decreases $(50 \%)$ of its value every 14 years. (d) The initial value of the investment is $\$ 5000$ in year $t=10$ and grows by $\$ 250$ every year.
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