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The total sales of a company (in millions of dollars) t months from now are given by S(t)=0.05t3+0.4t2+4t+8. The total sales of a company (in

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The total sales of a company (in millions of dollars) t months from now are given by

S(t)=0.05t3+0.4t2+4t+8.

image text in transcribed
The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t3 + 0.4t2 + 4t + 8. (A) Find S'(t). (B) Find 8(6) and S' (6) (to two decimal places). (C) Interpret S(13) = 237.45 and S'(13) = 39.75. (A) 8'6) = D (B) 8(6) = D 9(5): D (C) Choose the correct interpretation of S(13) = 237.45. 0 A. In 13 months the sales will be increasing at a rate of $237.45 million per month. 0 B. The total sales 13 months from now will be $237.45 million dollars. 0 c. In approximately 237 months the sales will be $13 million dollars. 0 D. In approximately 237 months the sales will be increasing by $13 million per month. Choose the correct interpretation of S'(13)= 39.75. C) A. The total sales 13 months from now will be $39.75 million dollars. 0 B. In 13 months the sales will be increasing at a rate of $39.75 million per month. 0 C. In approximately 40 months the sales will be increasing by $13 million per month. 0 D. In approximately 40 months the sales will be $13 million dollars

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