Answer:
about 9765 mosquitoes
Step-by-step explanation:
This is an exponential growth problem which follows the formula:
[tex]A=P(1+r)^t[/tex]
Where A is the future amount (we need this after 4 months)
P is the initial amount (here, it is 4000)
r is the rate of increase (here it is 25% or 0.25)
t is the time period (here t= 4, because we want to know after 4 months)
plugging in all the available/given info, we can solve for A:
[tex]A=P(1+r)^t\\A=4000(1+0.25)^4\\A=4000(1.25)^4\\A=9765.63[/tex]
Since, no fractional mosquitoes, we round down to 9765 mosquitoes
