Given That a Quantity Q(t) Exhibiting Exponential Decay Is Described

question 186

Multiple Choice

Given that a quantity Q(t) exhibiting exponential decay is described by the function where t is measured in years. What is the decay constant? What quantity is present initially? Complete the table of values. Round your answer to the nearest integer.

• A) k = - 0.01; Q = 2,500 t 0 5 10 20 100 Q 2,500 2,378 2,262 2,047 920
• B) k = - 0.01; Q = 2,500 t 0 5 10 20 100 Q 2,500 2,378 2,207 2,047 925
• C) k = 2,500; Q = - 2,500 t 0 5 10 20 100 Q 2,500 2,489 2,207 2,058 925
• D) k = 2,500; Q = - 2,500 t 0 5 10 20 100 Q 2,500 2,489 2,262 2,058 920

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Definitions:

Double-Declining Balance

A method of accelerated depreciation which doubles the normal depreciation rate, reducing the asset's book value more quickly in its early years.

Salvage Value

The estimated residual value of an asset at the end of its useful life.

Straight-Line Depreciation

A method of allocating an asset's cost evenly across its useful life.

Salvage Value

The estimated resale value of an asset at the end of its useful life, often considered during depreciation calculations.