Exponential Growth with a = 1000000000000, r = 0.02, p = 7400000000

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 Pert = A where P is your initial starting value, r is your rate,and t is time it takes

Exponential Growth with a = 1000000000000, r = 0.02, p = 7400000000 MathCelebrity logo Image to Crop

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!

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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 = A
e is Eulers Constant = 2.718281828459

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Exponential Growth Calculator?

decayReduction in size from decompositionexponentialof or relating to an exponentexponential growthgrowth whose rate increase in proportion to the total numberratethe ratio between two related quantities in different units. A measure, quantity, or frequency.timea point of time as measured in hours and minutes past midnight or noon

Example calculations for the Exponential Growth Calculator

Exponential Growth Calculator Video


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