Logarithmic growth is inverse of exponential growth...
r = growth rate
P = initial population value
Y = result
t = time
Formula:
Y = P * log r(t)
While exponential growth is as follows:
Y = P * (1 + r) ^ t
Y = P * EXP(1) ^ t (if growth "r" is contigous over time "t")
also linear growth formula is:
Y = P * r * t
finaly here is polynomial growth:
Y = P * t ^ r
~codekiddy.
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The formula for logarithmic growth is ( y = a \cdot \log(x) + b ), where ( y ) is the output, ( a ) is a growth factor, ( x ) is the input, and ( b ) is a constant. The logarithmic function grows slowly at first but then accelerates as the input increases, often used to model growth that levels off over time.
The logistic growth equation is commonly used to model populations limited by regulation. It is given as: ( \frac{dN}{dt} = rN\left(1-\frac{N}{K}\right) ), where (N) is the population size, (r) is the growth rate, and (K) is the carrying capacity. This equation accounts for both exponential growth (when (N) is much smaller than (K)) and slower growth as the population approaches its limit.
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The natural growth rate refers to the rate of population growth excluding any factors such as migration. The overall growth rate, on the other hand, takes into account all factors affecting population change, including births, deaths, and migration.
Growth centers are locations designated by the government for economic development purposes, where infrastructure and resources are focused to stimulate growth and create employment opportunities. Growth sites are specific areas within growth centers earmarked for development projects to further boost economic growth and investment. Both concepts aim to concentrate resources and investments to spur regional development and attract businesses.
Given two data points (1985, 145 million) and (1995, 190 million), you can solve for A and k in the general exponential growth formula. Once you have A and k, you can use these values to estimate the population in 2005 by substituting t = 20 (2005 - 1985) into the formula. Round your estimate to the nearest whole number.