Sequences and series (1 Viewer)

AFGHAN22

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1. Two men A and B commence work on an annual salary of $10000. A receives an increment of $1000 p.a. whilst B receives an increment of $500 each 6 months. Who has received the greater amount after 10 years, and by how much?

Answer = B by $2500 ( Note B’s pay rises last ½ year each)

2. A’s present salary is $390 per week and each year is to receive a rise of $60 per week. B starts with the same salary but receives a half-yearly rise of $30 per week.
Taking a year as exactly 52 weeks, find the total amounts received by each during the first n years.

I only need the amount received by B as I have already obtained B.

Answer = A: $1560n (n+12), B: $780n(2n+25)
 

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