Exponential Growth with a = 7000000000, r = 0.13815510558, p = 10000

You start with an initial value of 1000000 This accumulates to exponentially to 7000000000 at a rate of 0.13815510558 How long did this take?: Since r = 0.13815510558 > 0, we have an exponential growth equation

Exponential Growth with a = 7000000000, r = 0.13815510558, p = 10000 MathCelebrity logo Image to Crop

Enter 3 out of 4 items below

You start with an initial value of 1000000

This accumulates to exponentially to 7000000000 at a rate of 0.13815510558

How long did this take?:

Since r = 0.13815510558 > 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:

1000000e0.13815510558t = 7000000000

Step 1: Divide each side of the equation by 1000000 to isolate (t):
1000000e0.13815510558t
1000000
7000000000
1000000

Step 2: Cancel the 1000000 on the left side:

e0.13815510558t = 7000

Step 3: Take the natural log Ln of both sides of the equation to remove e:

Ln(e0.13815510558t) = Ln(7000)

There exists a logarithmic identity which states: Ln(en) = n, so we have

0.13815510558t = 8.8536654280375

Step 4: Divide each side of the equation by 0.13815510558 to isolate (t):
0.13815510558t
0.13815510558
8.8536654280375
0.13815510558

Step 5: Cancelling 0.13815510558 on the left side of the equation and simplifying the right, we can solve for (t):

t = 64.084967333405

Summary:
Final Answer:

Therefore, it would take 64.084967333405 units of time to increase an initial value of 1000000 to 7000000000 at a rate of 0.13815510558 exponentially!

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What is the Answer?

Therefore, it would take 64.084967333405 units of time to increase an initial value of 1000000 to 7000000000 at a rate of 0.13815510558 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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