Exponential Growth Calculator -

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Enter 3 out of 4 items below

You start with an initial value of 1200

This accumulates to exponentially to 2400 at a rate of 0.105

How long did this take?:

Since r = 0.105 > 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:

1200e0.105t = 2400

Step 1: Divide each side of the equation by 1200 to isolate (t):

1200e0.105t
1200

Step 2: Cancel the 1200 on the left side:

e0.105t = 2

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

Ln(e0.105t) = Ln(2)

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

0.105t = 0.69314718055995

Step 4: Divide each side of the equation by 0.105 to isolate (t):

0.105t
0.105

0.69314718055995

0.105

Step 5: Cancelling 0.105 on the left side of the equation and simplifying the right, we can solve for (t):

t = 6.6014017196185

Summary:

Final Answer:

Therefore, it would take 6.6014017196185 units of time to increase an initial value of 1200 to 2400 at a rate of 0.105 exponentially!

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What is the Answer?

Therefore, it would take 6.6014017196185 units of time to increase an initial value of 1200 to 2400 at a rate of 0.105 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

Exponential Growth Calculator