The formula for exponential population growth is

$A$ population in a habitat with limited resources shows four phases of growth. Identify the correct sequence of growth.

If a population adds $20$ new individuals per year and the total population after $2$ years is $75$,what was the initial population size?

"In the absence of environmental resistance, the population grows in a geometrical ratio when the food is given in an arithmetical ratio." This is:

Ecological factors which prevent a species from producing at its maximum rate is termed as

The integral form of the exponential growth equation is $N_{t} = N_{0} e^{rt}$. Identify $A, B, C$,and $D$ from the given equation where:
$A$: Population density after time $t$
$B$: Population density at time zero
$C$: Intrinsic rate of natural increase
$D$: The base of natural logarithms $(2.71828)$