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:

Contingent Payment

A payment that is not guaranteed but depends on the occurrence of a certain event or condition in the future.

Cash Flows

The complete sum of funds moving into and out of an enterprise, predominantly affecting its ability to cover short-term obligations.

Time Value

The principle that money available at the present time is worth more than the same amount in the future due to its potential earning capacity.