a. Explanation Given: The citizens save a fraction p of his or her new wealth and spend the remaining 1 − p in the community for each month. Result used: The sum of the geometric series is ∑ k = 0 ∞ a r k = a 1 − r if | r | < 1 . Calculation: The initial investment is $ W . Consider the fraction of his or her wealth for each month is 1 − p . Thus, the amount spends in the n th month is W ( 1 − p ) n . The total amount spent is ∑ n = 1 ∞ W ( 1 − p ) n = w ( 1 − p ) 1 − ( 1 − p ) b. To determine To evaluate: The limit p → 0 and p → 1 .

Calculus: Early Transcendentals (2nd Edition)

2nd Edition

ISBN: 9780321947345

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

Publisher: PEARSON

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Chapter 8.3, Problem 86E

To determine

To find: The amount spent in the community and the factor of initial investment of $W increased.

To determine

To evaluate: The limit p→0 and p→1.

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Chapter 8.3, Problem 85E

Chapter 8.3, Problem 87E

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Chapter 8 Solutions

Calculus: Early Transcendentals (2nd Edition)

Ch. 8.1 - Define sequence and give an example.Ch. 8.1 - Suppose the sequence {an} is defined by the...Ch. 8.1 - Suppose the sequence {an} is defined by the...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Given the series k=1k, evaluate the first four...Ch. 8.1 - The terms of a sequence of partial sums are...Ch. 8.1 - Consider the infinite series k=11k. Evaluate the...Ch. 8.1 - Explicit formulas Write the first four terms of...Ch. 8.1 - Explicit formulas Write the first four terms of...

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The amount spent in the community and the factor of initial investment of $ W increased.

Solution Summary: The author calculates the amount spent in the community and the factor of initial investment of W.

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To find: The amount spent in the community and the factor of initial investment of $W increased.

To evaluate: The limit p→0 and p→1.

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Chapter 8 Solutions