Exponential Growth Calculator

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Model populations, investments, or any quantity that grows at a consistent percentage rate.

Growth Parameters

Initial Quantity (N₀)

Growth Rate (k)

Time (t)

Projected Growth

271.83

Final Amount (Nₜ)

The total quantity reached after the specified growth period.

Doubling Time (t₂)6.93

About this calculator

The Power of Exponential Growth

Exponential growth occurs when the growth rate of a mathematical function is proportional to the function's current value. This results in the quantity growing faster and faster over time. It is a fundamental concept in finance (compound interest), biology (bacterial growth), and technology (Moore's Law).

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Pro Tips

The 'Rule of 70' is a quick way to estimate doubling time: 70 / (growth rate as %).
Continuous growth uses 'e', while annual compounding uses (1 + r).
Exponential growth is often unsustainable in nature due to limited resources (leading to a Logistic curve).

Fun Facts

"If you fold a standard piece of paper 42 times, it would be thick enough to reach the Moon because of exponential growth."
"A single bacterium dividing every 20 minutes could theoretically produce a mass equal to the Earth in less than 2 days."
"The invention of chess legend says the inventor asked for one grain of rice on the first square, two on the second, and so on; by the 64th square, it's more rice than has ever been harvested."

Formula: N(t) = N₀ × eᵏᵗ