the number of mosquitoes at the beginning of the summer was 4,000 the population of mosquitoes expected to grow as a at a rate of 25% a month how many mosquitoes will there be after 4 months ​

the figure is a concave pentagon.

step-by-step explanation:

in mathematical context, a pentagon is a flat, two-dimensional closed shape (polygon) with 5 straight sides and 5 angles.

now a pentagon is said to be concave if one or more corners bend inwards and at least one of its angles is 180 degrees or more than 180 degrees.

in the given figure, we can see that we have a corner which is bending inwards and an angle which is clearly greater than 180°. therefore, it is a concave pentagon.

the difference of two squares is a special form that has a factorization worth memorizing.

a² - b² = (a - b)(a + b)

your equation can be factored as

x² - 16 = 0

(x - 4)(x + 4) = 0

the zero product rule tells you the solutions are the values of x that make these factors zero: x=4, x=-4.

this is a geometric sequence with common ratio r

r = = = = 3

(a)

to obtain a term in the sequence multiply the previous term by 3

= 3 ← recursive rule

(b)

the n th term of a geometric sequence is

=

where is the first term and r the common ratio

= 6 × ← explicit rule