Popular Baby Names by Surname; There are basically two ways of giving information that you can use to compute \(k\). … Functions: What They Are and How to Deal with Them, Normal Probability Calculator for Sampling Distributions. Amount at Time 0: Decay Rate: Time t Passed: Amount at Time t: Half Life: Exponential Decay Formula: N t = N 0 * e-rt where: N t: The amount at time t N 0: The amount at time 0 r: Decay rate t: Time passed. Exponential Growth and Decay Calculator Use our online exponential growth and decay calculator by entering the initial value (x 0), decay rate (r) and time (t) in the below calculator and click calculate button to find the answer. Instructions: Use this step-by-step Exponential Decay Calculator, to find the function that describe the exponential decay for the given parameters. Formula to calculate exponential growth and decay is given by: It can be also used as Half Life Calculator. The Exponential Decay Calculator is used to solve exponential decay problems. It will calculate any one of the values from the other three in the exponential decay model equation. If you like Exponential Decay Calculator, please consider adding a link to this tool by copy/paste the following code: Fill in any three to calculate the fourth value. The following is the exponential decay formula: where:P(t) = the amount of some quantity at time tP0 = initial amount at time t = 0r = the decay ratet = time (number of periods). You can be either be provided with the corresponding half-life, OR you can be provided the value of the function at a certain future time. A function \(f(t)\) has exponential decay if it can be expressed as: The decay rate \(k\) can be either provided, or you may need to calculate it. But that is not enough, and you will need one extra piece of information. For both ways you will need the initial value \(A_0\). Instructions: Use this step-by-step Exponential Decay Calculator, to find the function that describe the exponential decay for the given parameters. Degrees of Freedom Calculator Paired Samples, Degrees of Freedom Calculator Two Samples. This website uses cookies to improve your experience. It will calculate any one of the values from the other three in the exponential decay model equation. The initial value \(A_0\) is typically provided. Exponential Decay Calculator. Half-life Calculator - Exponential decay Below we have a half-life calculator. The Exponential Decay Calculator is used to solve exponential decay problems. You need to provide the initial value \(A_0\), and the half life \(h\) OR one value of the function at a future time. This all-in-one online Exponential Decay Calculator evaluates the continuous exponential decay function. You can enter the values of any three parameters in the input fields of this calculator and find the missing parameter. A half-life is the period of time it takes for a substance undergoing decay to decrease by half. For a more in depth analysis of exponential decay and its formula and properties, see this tutorial. We'll assume you're ok with this, but you can opt-out if you wish. Home. In case you have any suggestion, or if you would like to report a broken solver/calculator, please do not hesitate to contact us. Also you can use this exponential growth calculator for the case of exponential growth. Exponential growth/decay formula x (t) = x0 × (1 + r) t x (t) is the value at time t. x0 is the initial value at time t=0.