3/11/2023 0 Comments Exponential growth graph![]() ![]() ![]() Therefore, the exponential growth formula we should use is: What should you do to calculate the projected population size in the year 2030? From the given data, we can conclude the initial population value, x 0, equals 10,000. ![]() It was noticed that the population of the city grows at a steady rate of 5% annually. For more examples of where you can use this formula, please check below.Ĭonsider the following problem: the population of a small city at the beginning of 2019 was 10,000 people. To learn more, please see our compound interest calculator. The exponential growth equation is used in radiocarbon dating, PCR (you can discover why with our annealing temperature calculator) as well as in calculating compound interest. The reason for this is that you cannot have a decline of more than 100% with regards to the initial quantity, as it would result in a negative value. Note that the exponential growth rate, r, can be any positive number, but, this calculator also works as an exponential decay calculator - where r also represents the rate of decay, which should be between 0 & -100%. The exponential function appearing in the above formula has a base equal to 1 + r/100. Is used when there is a quantity with an initial value, x 0, that changes over time, t, with a constant rate of change, r. The general rule of thumb is that the exponential growth formula: There is a substantial number of processes for which you can use this exponential growth calculator. ![]()
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