(a) Explanation Given Information: The initial salary of Brook is $48,000 with 4% raise in the year. Formula Used: The sum ( S n ) of the geometric series having infinite terms is: S n = a 1 ( 1 − r n ) 1 − r Here a 1 and r are the first term of geometric series and common between two terms of the geometric series. Calculation: Consider The initial salary of Brook is $48,000 with 4% raise in the year. Therefore, The ratio of the salary of two consecutive months will be constant, Hence, it is a geometric series. For a geometric series, Take a 1 = 48 , 000 and r = 1.04 Since, total sum is given by S n = a 1 ( 1 − r n ) (b) To determine To calculate: The sum of Chamille’s yearly salaries over a 20-year period when the initial salary is $48,000 with 4.5% raise each year. (c) To determine To calculate: The difference in total salary over 20 years between Chamille and Brook when the initial salaries of Chamille and Brook are $48,000 and $48,000 with 4.5% and 4% raise each year respectively.

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Chapter 14.4, Problem 71PE

(a)

To determine

To calculate: The sum of Brook’s yearly salary over a 20-year period when the initial salary is $48,000 with 4% raise in the year.

(b)

To determine

To calculate: The sum of Chamille’s yearly salaries over a 20-year period when the initial salary is $48,000 with 4.5% raise each year.

(c)

To determine

To calculate: The difference in total salary over 20 years between Chamille and Brook when the initial salaries of Chamille and Brook are $48,000 and $48,000 with 4.5% and 4% raise each year respectively.

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Chapter 14.4, Problem 70PE

Chapter 14.4, Problem 1PRE

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Chapter 14 Solutions

BEG+INTER ALG BUNDLE LL+CNCT MATH ALEK

Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

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The sum of Brook’s yearly salary over a 20-year period when the initial salary is $48,000 with 4% raise in the year.

Solution Summary: The author calculates the sum of Brook's yearly salary over a 20-year period when the initial salary is 48,000 with 4% raise in the year.

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To calculate: The sum of Brook’s yearly salary over a 20-year period when the initial salary is $48,000 with 4% raise in the year.

To calculate: The sum of Chamille’s yearly salaries over a 20-year period when the initial salary is $48,000 with 4.5% raise each year.

To calculate: The difference in total salary over 20 years between Chamille and Brook when the initial salaries of Chamille and Brook are $48,000 and $48,000 with 4.5% and 4% raise each year respectively.

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Chapter 14 Solutions