Math Decay Formula – Exponential Growth & Radioactive Decay Formula More Videos Decay Formula Exponential problems usually move around the decay formula in mathematics. To show money, bacteria, fishes in a pond, the exponential growth or decay formula is used frequently. Where continuous growth or decay are shown in the form of small r and t is the time during which decay was measured. The decay formula can be compared to compound interest formula where interests are being compounded continuously. Keep in mind that value of variables varies based on one equation to another but structure of formula always remains the same showing the equal relationship. Here is how to represent the decay formula in mathematics. \[\ A = Pe^{rt}\] \[\large N(t)=N_{0}\left ( \frac{1}{2}^{\frac{t}{t_{\frac{1}{2}}}} \right )\] \[\large N(t)=N_{0}e^{\frac{-t}{r}}\] \[\large N(t)=N_{0}e^-\lambda t\] Where P is the initial amount, r is growth or decay rate, and t is the final time during which decay process was completed. As an example, think of atmospheric pressure around where pressure in the air decreases as you go higher. Exponential decay is common in physical processes like radioactive decay or cooling in a draft etc and they are represented by first order differential equation ahead. To simplify the calculations, take the logarithms or you can use calculators too for quick results. In mathematics, these are just the topics but in physics or chemistry, there are proper units dedicated to the exponential decay or growth formulas. So, it is used everywhere especially if you are interested in science or technical studies. So, basic understanding of this concept is necessary and a little practice will make you the pro. Related posts: List of Basic Maths Formulas for Class 5 to 12 What is Permutation & Combination? List of Basic Formulas Quadratic Equations & Cubic Equation Formula Double Time Formula – Problem Solution with Solved Example Y Intercept & X Intercept Formula | Slope Intercept Form & Equation What Is Number? Type Of Numbers List of Basic Algebra Formulas for Class 5 to 12 What is Integration? List of Integration by Parts Formulas Exponential Formula | Function, Distribution, Growth & Equation Interpolation Formula with Problem Solution & Solved Example Charge Density Formula For Volume, Surface & Linear With Solution What is Mean Median Mode? List of Basic Median Mean Mode Formula Average Rate Of Change Formula Made Simple What is Matrix? Inverse Matrix Formula | Adjoint & Covariance Matrix What is Vector in Math? List of Basic Vector Formulas What is Binary? Binary to Decimal & Decimal to Binary Formula What is Complex Number? Complex Number Formulas CPK Formula & CP Formula with Problem Solution & Solved Example List of Maths Formulas for Class 8th CBSE Linear Correlation Coefficient Formula | Coefficient of Variation Formula Related Topics: Up Next Quartile Formula – First Quartile, Third Quartile & Lower Quartile Formula Don't Miss Population Mean Formula – Problem Solution with Solved Example Continue Reading Latest Popular Math6 days ago List of all Basic Limit Formulas Math6 days ago List of all Basic Profit and loss Formulas Math6 days ago List of all Basic Perimeter & Area formulas of Quadrilateral Guest Post1 week ago How to Prepare for Salesforce Certification? Math2 weeks ago List of all Basic Area & Surface area Formulas Math2 weeks ago List of all Basic Semicircle Formulas Math2 weeks ago Proof of Pythagoras Theorem & Formulas Math2 weeks ago List of all Basic Perimeter Formulas Questions3 weeks ago one number is 2 more than 3 times another. their sum is 22. find the numbers Questions3 weeks ago a line passes through the points (0,3) and (2,-9). what is the equation of this line in alope-intercept form Math6 months ago Average Rate Of Change Formula Made Simple Math2 years ago Surface Area of a Triangular Prism Formula & Volume of a Triangular Math2 years ago Triangular Pyramid Formula | Volume & Surface Area of a Triangular Pyramid Math2 years ago Percentage Formulas | How to Calculate Percentages of a Number? Math6 months ago List of Basic Maths Formulas for Class 5 to 12 Math2 years ago List of Pyramid Formula – Surface Area, Volume of Pyramid Math2 years ago What is Integration? List of Integration by Parts Formulas Math6 months ago List of Basic Algebra Formulas for Class 5 to 12 Math1 year ago What Is Loan Amortization Formula? Calculation & Example? Math2 years ago Y Intercept & X Intercept Formula | Slope Intercept Form & Equation Advertisement