Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, where t is time in months and S(t) is the number of computers sold each month. S'(t)= -35t 2 3 The company plans to stop manufacturing this computer when monthly sales reach 500 computers. If monthly sales now (t = 0) are 1,970 computers, find S(t). How long will the company continue to manufacture this computer? S(t) = How long will the company continue to manufacture this computer? Approximately months. (Round to the nearest whole number.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers
per month, where t is time in months and S(t) is the number of computers sold each month.
S'(t)= 35t
2
3
The company plans to stop manufacturing this computer when monthly sales reach 500 computers. If monthly sales
now (t = 0) are 1,970 computers, find S(t). How long will the company continue to manufacture this computer?
S(t) =
How long will the company continue to manufacture this computer?
Approximately months.
(Round to the nearest whole number.)
Transcribed Image Text:Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, where t is time in months and S(t) is the number of computers sold each month. S'(t)= 35t 2 3 The company plans to stop manufacturing this computer when monthly sales reach 500 computers. If monthly sales now (t = 0) are 1,970 computers, find S(t). How long will the company continue to manufacture this computer? S(t) = How long will the company continue to manufacture this computer? Approximately months. (Round to the nearest whole number.)
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