Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem. A manufacturer estimates that he can sell a maximum of 100,000 Blu-ray players in a city. His total sales grow at a rate proportional to the distance below this upper limit. If after 5 months total sales are 15,000, find a formula for the total sales after t months. (Round your coefficients to three decimal places.) y = Use your answer to estimate the total sales at the end of the first year. (Round your answer to the nearest whole number.) X sales

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 21E
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Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem.
A manufacturer estimates that he can sell a maximum of 100,000 Blu-ray players in a city. His total sales grow at a rate proportional to the distance below this upper limit. If after 5 months total sales
are 15,000, find a formula for the total sales after t months. (Round your coefficients to three decimal places.)
y =
Use your answer to estimate the total sales at the end of the first year. (Round your answer to the nearest whole number.)
X sales
Transcribed Image Text:Write the differential equation (unlimited, limited, or logistic) that applies to the situation described. Then use its solution to solve the problem. A manufacturer estimates that he can sell a maximum of 100,000 Blu-ray players in a city. His total sales grow at a rate proportional to the distance below this upper limit. If after 5 months total sales are 15,000, find a formula for the total sales after t months. (Round your coefficients to three decimal places.) y = Use your answer to estimate the total sales at the end of the first year. (Round your answer to the nearest whole number.) X sales
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