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The Rate at Which a Rumor Spreads Through an Alpine

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The rate at which a rumor spreads through an Alpine village of 500 residents is jointly proportional to the number of residents who have heard it and the number who have not. Initially, 15 residents heard the rumor, but 4 days later this number increased to 80. Find the number of people who will have heard the rumor after 1 wk. Round the answer to the nearest integer. __________ people


Definitions:

Christian Monopoly

The dominance of Christian institutions and beliefs in a society to the exclusion or marginalization of other religions.

Spiritual Life

An aspect of personal existence focused on the intentional search for or development of inner peace, ethical values, and a deeper understanding of life.

Civil Religion

A set of sacred beliefs shared by a nation's populace that integrates religious and national identities.

Quasi-religious Beliefs

Beliefs that possess some qualities of traditional religions, such as rituals and dogmas, but do not align with the formal structure of organized religion.

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