SOLUTION: A team of financial advisers guiding the launch of a national newspaper has modeled the
future circulation of the newspaper by the equation
𝑁 = 𝑐(1 − 𝑒
−𝑘𝑡
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Question 1172715: A team of financial advisers guiding the launch of a national newspaper has modeled the
future circulation of the newspaper by the equation
𝑁 = 𝑐(1 − 𝑒
−𝑘𝑡
)
where N is the daily circulation after t days of publication, and c and k are positive constants.
Transpose this formula to show that
𝑡 =
1
𝑘
𝑙𝑛
𝑐
𝑐 − 𝑁
When the paper is launched, audits show that
c = 700 000 and k = (1/30) ln2
(a) Calculate the daily circulation after 30 days of publication.
(b) After how many days will the daily circulation first reach 525 000?
(c) What advice can you give the newspaper proprietor if it is known that the paper will break
even only if the daily circulation exceeds 750 000?
Answer by ikleyn(52793) (Show Source): You can put this solution on YOUR website!
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