Choose the One Alternative That Best Completes the Statement or Answers

question 80

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-Sandy manages a ceramics shop and uses a $650 ^ { \circ } \mathrm { F }$ kiln to fire ceramic greenware. After turning off her kiln, she must wait until its temperature gauge reaches $205 ^ { \circ } \mathrm { F }$ before opening it and removing the ceramic pieces. If room temperature is $70 ^ { \circ } \mathrm { F }$ and the gauge reads $500 ^ { \circ } \mathrm { F }$ in 8 minutes, how long must she wait before opening the kiln? Assume the kiln cools according to Newton's Law of Cooling:
$$\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } } .$$
(Round your answer to the nearest whole minute.)

• A) 79 minutes
• B) 56 minutes
• C) 30 minutes
• D) 39 minutes

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Definitions:

Principal-Agent Framework

A theory that explores the challenges in motivations and conflicts of interest between a principal (such as an owner) and an agent (such as an employee) acting on the principal's behalf.

Incentive Compatibility

A concept in economics and game theory that occurs when the incentives align with the desired outcomes, ensuring that participants act in a way that leads to an optimal outcome for all involved.

Supervise

The act of overseeing, directing, or managing activities and tasks of individuals or groups to ensure objectives are met.

Expected Income

The amount of money an individual anticipates earning over a certain period, based on current or future situations.