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Effect of Advertising on Sales Metro Department Store found that t weeks after the end of a sales promotion the volume of sales was given by S(t) = B + Ae-kt (0 sts 4) where B = 46,000 and is equal to the average weekly volume of sales before the promotion. The sales volumes at the end of the first and third weeks we $84,510 and $61,670, respectively. Assume that the sales volume is decreasing exponentially. (a) Find the decay constant k. (Round your answer to five decimal places.) k = [ (b) Find the sales volume at the end of the fourth week. (Round your answer to the nearest whole number.)

Effect of Advertising on Sales Metro Department Store found that t weeks after the end of a sales promotion the volume of sales was given by S(t) = B + Ae-kt (0 sts 4) where B = 46,000 and is equal to the average weekly volume of sales before the promotion. The sales volumes at the end of the first and third weeks we $84,510 and $61,670, respectively. Assume that the sales volume is decreasing exponentially. (a) Find the decay constant k. (Round your answer to five decimal places.) k = [ (b) Find the sales volume at the end of the fourth week. (Round your answer to the nearest whole number.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 27E
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1.9) Calculus homework

Effect of Advertising on Sales Metro Department Store found that t weeks after the end of a sales promotion the volume of sales was given by S(t) = B + Ae-kt (0 sts 4) where B = 46,000 and is equal to the average weekly volume of sales before the promotion. The sales volumes at the end of the first and third weeks were $84,510 and $61,670, respectively. Assume that the sales volume is decreasing exponentially. (a) Find the decay constant k. (Round your answer to five decimal places.) (b) Find the sales volume at the end of the fourth week. (Round your answer to the nearest whole number.)
Transcribed Image Text:Effect of Advertising on Sales Metro Department Store found that t weeks after the end of a sales promotion the volume of sales was given by S(t) = B + Ae-kt (0 sts 4) where B = 46,000 and is equal to the average weekly volume of sales before the promotion. The sales volumes at the end of the first and third weeks were $84,510 and $61,670, respectively. Assume that the sales volume is decreasing exponentially. (a) Find the decay constant k. (Round your answer to five decimal places.) (b) Find the sales volume at the end of the fourth week. (Round your answer to the nearest whole number.)
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