Exponential Growth with a = 1000000000000, r = 0.02, p = 7400000000
By David Perry
Enter 3 out of 4 items below
You start with an initial value of 7400000000
This accumulates to exponentially to 1000000000000 at a rate of 0.02
How long did this take?:
Since r = 0.02 > 0, we have an exponential growth equation
The exponential growth equation is as follows:
Pert = A where P is your initial starting value, r is your rate,
and t is time it takes to grow your initial investment/amount to A, your final value.
Note: e is Eulers Constant = 2.718281828459
Plugging in our known values, we get:
7400000000e0.02t = 1000000000000
Step 1: Divide each side of the equation by 7400000000 to isolate (t):
| 7400000000e0.02t |
| 7400000000 |
| 1000000000000 |
| 7400000000 |
Step 2: Cancel the 7400000000 on the left side:
e0.02t = 135.13513513514
Step 3: Take the natural log Ln of both sides of the equation to remove e:
Ln(e0.02t) = Ln(135.13513513514)
There exists a logarithmic identity which states: Ln(en) = n, so we have
0.02t = 4.906275278772
Step 4: Divide each side of the equation by 0.02 to isolate (t):
| 4.906275278772 |
| 0.02 |
Step 5: Cancelling 0.02 on the left side of the equation and simplifying the right, we can solve for (t):
t = 245.3137639386
Summary:
Final Answer:
Therefore, it would take 245.3137639386 units of time to increase an initial value of 7400000000 to 1000000000000 at a rate of 0.02 exponentially!
You have 1 free calculations remaining
What is the Answer?
Therefore, it would take 245.3137639386 units of time to increase an initial value of 7400000000 to 1000000000000 at a rate of 0.02 exponentially!
How does the Exponential Growth Calculator work?
Free Exponential Growth Calculator - This solves for any 1 of the 4 items in the exponential growth equation or exponential decay equation, Initial Value (P), Ending Value (A), Rate (r), and Time (t).
This calculator has 4 inputs.
What 2 formulas are used for the Exponential Growth Calculator?
Pert = Ae is Eulers Constant = 2.718281828459
For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Exponential Growth Calculator?
- decay
- Reduction in size from decomposition
- exponential
- of or relating to an exponent
- exponential growth
- growth whose rate increase in proportion to the total number
- rate
- the ratio between two related quantities in different units. A measure, quantity, or frequency.
- time
- a point of time as measured in hours and minutes past midnight or noon
