a. Explanation Given information: The amount of construction loans of peer banks as a percentage of capital from beginning of 2003 ( t = 0 ) through the beginning of 2008 is given by, g ( t ) = − 0.656 t 4 + 5.693 t 3 − 16.798 t 2 + 36.083 t + 51.9 ( 0 ≤ t ≤ 5 ) (1) Calculation: Substitute x for t in equation (1). g ( t ) = − 0.656 x 4 + 5.693 x 3 − 16.798 x 2 + 36.083 x + 51.9 ( 0 ≤ t ≤ 5 ) Plot the graph of above function and find that first value of x for which g ( x ) is greater than or equal to 100%. First press “ON” button on graphical calculator and press Y = key. Enter the right side of function after the symbol Y 1 . Enter keystrokes ( − ) 0 . 6 5 6 X ^ 4 + 5 . 6 9 3 X ^ 3 − 1 6 . 7 9 8 X x 2 + 3 6 (b) To determine The highest amount of construction loans as a share of capital of peer banks over the period of 2003 to 2008.

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 4.4, Problem 8TE

To determine

To find: The year in which the amount of construction loans of peer banks as percentage of capital first exceed the maximum of 100%.

(b)

To determine

The highest amount of construction loans as a share of capital of peer banks over the period of 2003 to 2008.

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Chapter 4.4, Problem 7TE

Chapter 4.4, Problem 9TE

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Chapter 4 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 4.1 - Explain each of the following: a. f is increasing...Ch. 4.1 - Prob. 2CQ Ch. 4.1 - Prob. 3CQ Ch. 4.1 - Prob. 4CQ Ch. 4.1 - Prob. 5CQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E

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The year in which the amount of construction loans of peer banks as percentage of capital first exceed the maximum of 100%.

Solution Summary: The author explains the year in which the amount of construction loans of peer banks as percentage of capital first exceeds the maximum of 100%.