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A wireless phone company estimates that it can get a maximum of 160 thousand subscribers in a city. By advertising heavily, its total sales

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A wireless phone company estimates that it can get a maximum of 160 thousand subscribers in a city. By advertising heavily, its total sales grow at a rate proportional to the difference of this upper limit and total number of subscribers. (a) If the company enters a new market, and after 3 months the total number of subscribers is 76 thousand find a formula for the total subscribers y (in thousands) months after entering the market. Round any constant of proportionality to four decimals. y(t): (b) Now, use this to estimate the total number of subscribers at the end of the first year. Round your answer to the nearest whole number. Total subscribers at end of the first year:

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