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Understanding Exponential Growth

What is Exponential Growth?

Exponential growth occurs when the rate of change of a quantity is proportional to its current value. This results in growth that accelerates over time, creating a characteristic J-shaped curve.

The Formula

The exponential growth formula is:

A = P(1 + r)áµ—

Where:

  • A = Final amount
  • P = Principal (initial) amount
  • r = Growth rate (as decimal)
  • t = Time period

Common Applications

Exponential growth appears in many real-world scenarios:

  • Compound interest
  • Population growth
  • Bacterial growth
  • Investment returns
  • Inflation