The Number of People Who Donated to a Certain Organization $D ( t ) = - 10.82 t ^ { 3 } + 209.508 t ^ { 2 } - 167.402 t + 9774.134$

question 70

Multiple Choice

The number of people who donated to a certain organization between 1975 and 1992 can be modeled by the equation $D ( t ) = - 10.82 t ^ { 3 } + 209.508 t ^ { 2 } - 167.402 t + 9774.134$ donors, where t is the number of years after 1975. Find the inflection point(s) from $t = 0$ through $t = 17$ , if any exist.

• A)There are no inflection points from \(t = 0\) through \(t = 17\) .
• B)There is one inflection point at \(t = 6.45\) .
• C)There are inflection points at \(t = 0\) and \(t = 17\) .
• D)There is one inflection point at \(t = 0.15\) .
• E)There are inflection points at \(t = 0\) , \(t = 0.15\) , and \(t = 17\) .

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Definitions:

Reasoning Errors

Mistakes or flaws in the process of thinking, assessing, or coming to conclusions, often leading to inaccurate judgments or decisions.

Financial Decisions

Choices made regarding the management, investment, and utilization of funds within an organization.

Behavioral Finance

A field of finance that proposes psychology-based theories to explain stock market anomalies.

Reasoning Errors

Mistakes in logical thinking or incorrect conclusions drawn from evidence or assumptions.