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Can anyone help me solve this ?
In investigating different job opportunities, you find that firm A will start you at $25,000 per year and guarantee you a raise of $1,200 each year whereas firm B will start you at $28,000 per year but will guarantee you a raise of only $800 each year.
A). Create a sequence for firm A. What kind of sequence is it? Arithmetic? Geometric? Neither? Explain why you believe it is this sequence. B). Create a sequence for Firm B. What kind of sequence is it? Arithmetic? Geometric? Neither? Explain why you believe it is this sequence.C). Create an equation for each sequence. Show and explain how it was created.D). On the 15th year, how much would you receive from each firm? Use techniques learned in class. Explain answers in sentence form. Show work. Use formula from part C.
1 Answer
- Anonymous3 weeks ago
A: 25,000, 26,200, 27,400, 28600, ...
B: 28,000, 28,800, 29,600, 30,400...
A = 25,000 + 1200x where x is the number of years worked. It’s arithmetic sequence because it’s 1200 when you take previous number and subtract it from the next number. 25000, 26200, 27400.
B is the same. 28000 + 800x. Arithmetic sequence because n2 - n1 = 800. n3 - n2 = 800.
To find out how much you make after 15 years, just substitute 14 for x on both equations.
25000 + 1200(14)
28000 + 800(14)