Decrease Over Time Calculator

Calculate how values decrease over time with different decay patterns and visualize the results

Initial Parameters

units

Decrease Type

% per period

Time Period

periods

Decrease Over Time Results

Initial Value
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Final Value
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Total Decrease
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Percentage Decrease
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Detailed Data

Period Value Decrease % Decrease
Enter parameters to see results

📊 Real-world Examples of Decrease Over Time

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Depreciation

Assets like vehicles and equipment lose value over time, often following predictable patterns.

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Radioactive Decay

Substances decay exponentially based on their half-life, used in carbon dating and medicine.

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Inventory Depletion

Products in inventory decrease as they're sold, which can be modeled with different patterns.

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Drug Metabolism

Medications in the body decrease over time as they're metabolized and eliminated.

🧮 Decrease Formulas Explained

Formula: Vt = V0 × (1 - r)t

Where:

  • Vt = Value at time t
  • V0 = Initial value
  • r = Percentage decrease per period (as decimal)
  • t = Number of periods

This creates a curve where the absolute decrease gets smaller each period as the base value decreases.

Formula: Vt = V0 - (d × t)

Where:

  • Vt = Value at time t
  • V0 = Initial value
  • d = Fixed decrease amount per period
  • t = Number of periods

This creates a straight line decrease where the same amount is subtracted each period.

Formula: Vt = V0 × e-λt

Where:

  • Vt = Value at time t
  • V0 = Initial value
  • λ (lambda) = Decay rate
  • t = Number of periods
  • e = Euler's number (~2.71828)

This models natural decay processes where the rate of decrease is proportional to the current value.

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Note: This calculator provides estimates based on mathematical models. Actual decrease patterns may vary in real-world scenarios due to external factors not accounted for in these calculations.