Solve the Problem $\mathrm { n } = 71.69 + 18.3 \sin \frac { \pi \mathrm { t } } { 24 }$

question 457

Multiple Choice

Solve the problem.
-The weekly sales in thousands of items of a product has a seasonal sales record approximated by $\mathrm { n } = 71.69 + 18.3 \sin \frac { \pi \mathrm { t } } { 24 }$ ( $\mathrm { t }$ is time in weeks with $\mathrm { t } = 1$ referring to the first week in the year) . During which week(s) will the sales equal 80,840 items?

• A) week 4 , week 20 , and week 52
• B) week 21 and week 30
• C) week 30 and week 47
• D) week 4 and week 47

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Definitions:

Forms

In Platonic philosophy, refers to the abstract, perfect, non-physical essences of things or concepts that represent their most accurate reality.

Will to Live

A fundamental drive or motivation inherent in humans and animals aimed at survival and continuation.

Schopenhauer's Metaphysics

The philosophical inquiry concerning the nature of reality and the fundamental structure of the world as outlined by Arthur Schopenhauer, emphasizing the will as the underlying essence of all things.

Optimistic

Having a hopeful or positive outlook on the future, believing that the best possible outcome will occur.