(a) Explanation Given Information: The first job offers $ 50 , 000 for the first year. Each year thereafter, she would receive a $ 2400 raise. The second job offers $ 54 , 000 for the first year. Each year thereafter, she would receive a $ 2000 raise. However, with the second job Jose would have to pay $ 100 out of his paycheck for health insurance. Formula used: For an arithmetic series, The n th term is a n = a 1 + ( n − 1 ) d and the sum is S = n 2 ( a 1 + a n ) . Where a 1 is the first term, n is the number of terms, and d is the common difference. Calculations: Consider the first job, The first job offers $ 50 , 000 and would receive a $ 2400 raise each year, which can be written as: a 1 = 50 , 000 and d = 2400 Now, substitute the above values in a n = a 1 + ( n − 1 ) d , a n = 50 , 000 + ( n − 1 ) 2400 = 50 , 000 + 2400 n − 2400 = 2400 n + 47 , 600 For a 6-year period, substitute n = 6 in the above expression. a 6 = 2400 ( 6 ) + 47 , 600 = 14 , 400 + 47 , 600 = 62 , 000 Since the sum can be calculated as, S = n 2 ( a 1 + a n ) The sum of the salary for 6-year period is: S = 6 2 ( 50 , 000 + 62 , 000 ) = 3 ( 112 , 000 ) (b) To determine To calculate: The total amount Jose will earn from each job if she works for 12 years for the company. The first job offers $ 50 , 000 for the first year. Each year thereafter, she would receive a $ 2400 raise. The second job offers $ 54 , 000 for the first year. Each year thereafter, she would receive a $ 2000 raise. However, with the second job Jose would have to pay $ 100 out of his paycheck for health insurance.

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ISBN: 9780078035630

Author: Julie Miller

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 8.2, Problem 66PE

(a)

To determine

To calculate: The total amount Jose will earn from each job if she works for 6 years for the company. The first job offers $50,000 for the first year. Each year thereafter, she would receive a $2400 raise. The second job offers $54,000 for the first year. Each year thereafter, she would receive a $2000 raise. However, with the second job Jose would have to pay $100 out of his paycheck for health insurance.

(b)

To determine

To calculate: The total amount Jose will earn from each job if she works for 12 years for the company. The first job offers $50,000 for the first year. Each year thereafter, she would receive a $2400 raise. The second job offers $54,000 for the first year. Each year thereafter, she would receive a $2000 raise. However, with the second job Jose would have to pay $100 out of his paycheck for health insurance.

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Chapter 8.2, Problem 65PE

Chapter 8.2, Problem 67PE

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Chapter 8 Solutions

College Algebra

Ch. 8.1 - Skill Practice Write the first four terms of the...Ch. 8.1 - Skill Practice 2. Write the first five terms of...Ch. 8.1 - Prob. 3SP Ch. 8.1 - Prob. 4SP Ch. 8.1 - Prob. 5SP Ch. 8.1 - Skill Practice Write each sum using summation...Ch. 8.1 - 1. An infinite ______________ is a function whose...Ch. 8.1 - Prob. 2PE Ch. 8.1 - 2. An _________ sequence is a sequence in which...Ch. 8.1 - Prob. 4PE

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Solution Summary: The author calculates the total amount Jose will earn from each job if she works for 6 years for the company.

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