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

Answer:about 9765 mosquitoesStep-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