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.)
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 34SE: For the following exercises, consider this scenario: The profit of a company decreased steadily...
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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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