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The monetary value of a certain antique chair increases with its age (but at a diminishing rate). The rate of change in the value of
The monetary value of a certain antique chair increases with its age (but at a diminishing rate). The rate of change in the value of the chair can be modeled as 2400 dollars per year v(x) where x years is the age of the chair, x 2 25. The chair was valued at $300 twenty-five years after it was crafted. (For the following questions, disregard inflation of the dollar.) (a) How much will the value of the antique increase between 25 and 100 years after it was crafted? $ 480 How much will it be worth 100 years after it was crafted? $780 (b) How much will the chair eventually be worth? Use the algebraic method. $ The monetary value of a certain antique chair increases with its age (but at a diminishing rate). The rate of change in the value of the chair can be modeled as 2400 dollars per year v(x) where x years is the age of the chair, x 2 25. The chair was valued at $300 twenty-five years after it was crafted. (For the following questions, disregard inflation of the dollar.) (a) How much will the value of the antique increase between 25 and 100 years after it was crafted? $ 480 How much will it be worth 100 years after it was crafted? $780 (b) How much will the chair eventually be worth? Use the algebraic method. $
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