Exponential Growth Calculator
Calculate exponential growth using the formula y = a × e^(kt). Find the final value, growth factor, and doubling time.
How to Use the Exponential Growth Calculator
- Enter the initial value and continuous growth rate (as %).
- Enter the time period.
- Click Calculate to see the final value and doubling time.
مرجع سريع
| من | إلى |
|---|---|
| a=100, k=5%, t=10 | ≈ 164.87 |
| a=1000, k=10%, t=7 | ≈ 2,013.75 |
| Doubling at 7% | t ≈ 9.9 |
| Rule of 70 | 70/rate% ≈ doubling time |
حالات الاستخدام
- •Modeling population growth in biology.
- •Calculating compound interest with continuous compounding.
- •Predicting bacterial colony growth in lab experiments.
الصيغة
y = a × e^(kt), where a is initial value, k is growth rate (as decimal), t is time. Doubling time = ln(2)/k.
الأسئلة الشائعة
What is exponential growth?
Growth where the rate is proportional to the current value, creating a J-shaped curve.
What is the growth rate?
Enter the rate as a percentage. For example, 5 means 5% continuous growth rate.
What is doubling time?
The time it takes for the quantity to double: ln(2)/k.