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Chapter 12: Q. 67 (page 817)
Salary: If you received a job offer with a starting salary of \(35,000 per year and a guaranteed raise of \)1400 per year, how many years will it take before your aggregate salary is $280,000?
[Hint: Your aggregate salary after 2 years is 35,000 + (35,000 + 1400)
It will take 8 years.
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Environmental Control: The Environmental Protection Agency (EPA) determines that Maple Lake has 250 tons of pollutants as a result of industrial waste and that 10% of the pollutant present is neutralized by solar oxidation every year. The EPA imposes new pollution control laws that result in 15 tons of new pollutant entering the lake each year. The amount of pollutant in the lake at the end of each year is given by the recursively defined sequence
(a) Determine the amount of pollutant in the lake at the
end of the second year. That is, determine p2 .
(b) Using a graphing utility, provide pollutant amounts for
the next 20 years.
(c) What is the equilibrium level of pollution in Maple
Lake? That is, what is localid="1646823556776" ?
In Problems 17鈥�28, write down the first five terms of each sequence.
In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.
In Problems 29鈥�36, the given pattern continues. Write down the nth term of a sequence suggested by the pattern.
In Problems 71-82, find the sum of each sequence.
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