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 Guest Post3 days ago 11 Cool Home Learning Space Ideas Guest Post3 days ago How To Manipulate And Create Directives In Angular? Guest Post3 days ago 11 Smart Ways Online Education is Blooming For Data Science Guest Post1 week ago What Is Alteryx And Its Purpose In Business Analytics? Guest Post2 weeks ago Power BI Tutorial – Introduction of Business Intelligence Guest Post2 weeks ago 5 Incredible Breakthroughs In The Realm Of Programming Languages Guest Post2 weeks ago How to Send Unlimited Bulk Emails using Python? Guest Post3 weeks ago What is Routing and How to use in Angular Application? LCM3 weeks ago Least Common Multiple (LCM) of 9 and 15 with Primes Guest Post4 weeks ago How Can I Learn SQL Programming Quickly? Math9 months ago Average Rate Of Change Formula Made Simple Math9 months ago List of Basic Maths Formulas for Class 5 to 12 Math2 years ago Percentage Formulas | How to Calculate Percentages of a Number? 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 Y Intercept & X Intercept Formula | Slope Intercept Form & Equation Math2 years ago What is (a-b)^3 Formula? a^3-b^3 Formula | (a-b)^2 | (a+b-c)^2 Math2 years ago What is Integration? List of Integration by Parts Formulas Math9 months ago List of Basic Algebra Formulas for Class 5 to 12 Math2 years ago What Is Loan Amortization Formula? Calculation & Example? Advertisement