Exponential Growth with a = , r = 0.05, p = 400, t = 6

Posted by Artie Phelan on Thursday, June 6, 2024
Exponential Growth with a = , r = 0.05, p = 400, t = 6 MathCelebrity logo Image to Crop

Enter 3 out of 4 items below

You start with an initial value of 400

This accumulates exponentially at a rate of 0.05

This goes for 6 units of time

How much is your initial value now?

Since r = 0.05 > 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:

A = 400e(0.05)(6)

A = 400e0.3

A = 400(1.349858807576)

A = 539.9435230304

Final Answer:

Therefore, 400 which accumulates exponentially at a rate of 0.05 for 6 units of time has a value of 539.9435230304

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What is the Answer?

Therefore, 400 which accumulates exponentially at a rate of 0.05 for 6 units of time has a value of 539.9435230304

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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