📈 Exponential Growth Calculator

Calculate exponential growth using the formula P = P₀ * e^(rt). Enter the initial value, rate, and time.

Result will appear here…

📌 Understanding Exponential Growth

Exponential growth occurs when a quantity increases at a constant rate over time. The general formula is:

P = P₀ * e^(rt)
Where:
P = Final amount
P₀ = Initial amount
r = Growth rate (as a decimal)
t = Time

📌 Example Calculations

Initial Value (P₀)	Growth Rate (r)	Time (t)	Final Value (P)
1000	5%	3 years	1161.83
500	10%	2 years	610.70

🔧 Practical Applications of Exponential Growth

1. Finance & Economics: Used in compound interest and investment growth.

2. Biology & Medicine: Helps in modeling population growth and bacterial growth.

3. Physics & Engineering: Essential in decay rates and reaction processes.

❓ FAQs

Q1: How do I calculate exponential growth?
✅ Use the formula P = P₀ * e^(rt).

Q2: What does ‘e’ represent?
✅ ‘e’ is the mathematical constant (approximately 2.718), used in exponential functions.

Q3: How is exponential growth different from linear growth?
✅ Exponential growth increases at a rate proportional to its current value, while linear growth increases by a fixed amount.

Q4: Where is exponential growth commonly used?
✅ It is widely used in **finance, biology, and physics**.

Q5: Why is exponential growth important?
✅ It helps in **understanding rapid changes in populations, investments, and scientific processes**.