Hrm 531 Week 9 Final Paper

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Pages: 3
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I have been informed that two offices, Dr.Crown and Dr.Canal, have offered you dental assistant jobs. I'm sure that you are wondering which job offer would be the better option in the long run. I know this can be a difficult decision, but hopefully I can help you determine your salaries. I intend to aid you by calculating what your salary and total would be at either office. At Dr.Crown's office, you would earn $27,000 the first year and recieve a $3,000 raise every year after that. Because the increase in your salary each year is constant, this is an arithmetic sequence and can help us find your 20th salary using the formula: an = a1 + (n – 1)d. When using sequence formulas, n is used to represent the term that you are trying to find; in this case, year 20. The symbols below the line, called subscripts, stand for a certain term. For example, a1 is the first term, or your starting salary, $27,000. The d stands for the difference, which would be an increase in $3,000 each year that you work. When you plug all of these values into the arithmetic sequence formula, you get a20 = 27,000 + (20 – …show more content…
Since figuring out your pay would require us to multiply each year by a constant number, this is classified as a geometric sequence. The formula for the general term for any geometric sequence is an = a1 (r)n-1, which we can use to calculate your 20th salary. Take note that many of the variables in this equation were also used in the arithmetic sequence. Therefore, we should have no trouble determining that n=20, the number of years we are looking for, and a1=30,000, your starting value. This leaves us with an unfamiliar variable, r. R stands for the common ratio. That means the constant number it is being multiplied by, 1.04. After substituting these values into the formula and solving, you should find that you would make $63,205.48 during year 20 at Dr.Canal's
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