Metro DepartmeIt Stor S(t) = B + Ae-kt (0 stS 4) where B = 41,000 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 $82,050 and $63,400, respectively. Assume that the sales volume is decreasing exponentially. (a) Find the decay constant k. (Round your answer to five decimal places.) k =5761 (b) Find the sales volume at the end of the fourth week. (Round your answer to the nearest whole number.) $ 2666

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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-kt
S(t) = B + Ae
(0 <t< 4)
where B = 41,000 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 $82,050 and $63,400,
respectively. Assume that the sales volume is decreasing exponentially.
(a) Find the decay constant k. (Round your answer to five decimal places.)
k =5761
(b) Find the sales volume at the end of the fourth week. (Round your answer to the nearest whole number.)
$ 2666
Transcribed Image Text:-kt S(t) = B + Ae (0 <t< 4) where B = 41,000 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 $82,050 and $63,400, respectively. Assume that the sales volume is decreasing exponentially. (a) Find the decay constant k. (Round your answer to five decimal places.) k =5761 (b) Find the sales volume at the end of the fourth week. (Round your answer to the nearest whole number.) $ 2666
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