Solve the Problem $Q ( t ) = 4 e ^ { - 0.00938 t }$

question 226

Multiple Choice

Solve the problem.
-If the function $Q ( t ) = 4 e ^ { - 0.00938 t }$ models the quantity (in $\mathrm { kg }$ ) of an element in a storage unit after $t$ years, how long will it be before the quantity is less than $1.5 \mathrm {~kg}$ ? Round to the nearest year.

• A) \(105 \mathrm { yr }\)
• B) \(31 \mathrm { yr }\)
• C) \(45 \mathrm { yr }\)
• D) \(4 \mathrm { yr }\)

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Definitions:

Forecast

A prediction or estimate of future events or trends, often based on current data and analysis.

Number of Forecast Values

The quantity of data points projected or predicted for future periods based on historical trends and analysis.

Smoothing Constant

A parameter used in exponential smoothing methods to apply different weights to past observations, typically ranging between 0 and 1.

Exponential Smoothing Model

A time series forecasting method for univariate data that applies exponentially decreasing weights over past observations.