57. A sum of $1,000 is deposited in an account with an interest rate of r percent compounded monthly. At the end of 5 years the balance in the account is given by A = 1000 1 + 1000 1 1200 60 Find the rate of change of A with respect to r for the following rates: (a) r = 8% (b) r= 10% (c) r = 12% (Compare these results with those of Example 9 to see the effect of increasing the frequency of com- pounding.)

57. A sum of $1,000 is deposited in an account with an interest rate of r percent compounded monthly. At the end of 5 years the balance in the account is given by A = 1000 1 + 1000 1 1200 60 Find the rate of change of A with respect to r for the following rates: (a) r = 8% (b) r= 10% (c) r = 12% (Compare these results with those of Example 9 to see the effect of increasing the frequency of com- pounding.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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