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An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing the line in a carefully selected city, the marketing research department estimates that the sales (in millions of dollars) will increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 19-10e¯0.1t 0≤t≤20 (A) What will be the total sales, s(t), t months after the beginning of the national sales campaign if we assume no sales at the beginning of the campaign? S(t) = 19t+100ē¯0.1t – 100 (B) What are the estimated total sales for the first 9 months of the campaign? 112 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $90 million? Use a graphing calculator to approximate the solution to the equation S(t) = 90. tx (Round to two decimal places as needed.)

An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing the line in a carefully selected city, the marketing research department estimates that the sales (in millions of dollars) will increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 19-10e¯0.1t 0≤t≤20 (A) What will be the total sales, s(t), t months after the beginning of the national sales campaign if we assume no sales at the beginning of the campaign? S(t) = 19t+100ē¯0.1t – 100 (B) What are the estimated total sales for the first 9 months of the campaign? 112 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $90 million? Use a graphing calculator to approximate the solution to the equation S(t) = 90. tx (Round to two decimal places as needed.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing the line in a carefully selected city, the marketing research department estimates that the sales (in millions of dollars) will increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 19-10e¯0.1t 0≤t≤20 (A) What will be the total sales, s(t), t months after the beginning of the national sales campaign if we assume no sales at the beginning of the campaign? S(t) = 19t+100ē¯0.1t – 100 (B) What are the estimated total sales for the first 9 months of the campaign? 112 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $90 million? Use a graphing calculator to approximate the solution to the equation S(t) = 90. tx (Round to two decimal places as needed.)
Transcribed Image Text:An automobile company is ready to introduce a new line of cars through a national sales campaign. After test marketing the line in a carefully selected city, the marketing research department estimates that the sales (in millions of dollars) will increase at the monthly rate of the following function for t months after the campaign has started. S'(t) = 19-10e¯0.1t 0≤t≤20 (A) What will be the total sales, s(t), t months after the beginning of the national sales campaign if we assume no sales at the beginning of the campaign? S(t) = 19t+100ē¯0.1t – 100 (B) What are the estimated total sales for the first 9 months of the campaign? 112 million (Round to the nearest whole number.) (C) When will the estimated total sales reach $90 million? Use a graphing calculator to approximate the solution to the equation S(t) = 90. tx (Round to two decimal places as needed.)
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