The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? 5433 9766 9765 9006

To solve this problem, we need to use the formula for exponential growth: Where:- \( P(t) \) is the population after time - is the initial population- is the growth rate- is the time in monthsGiven:- - (25% growth rate)- monthsPlugging in the values: Now, calculate \( (1.25)^4 \): Then multiply by the initial population: So, the number of mosquitoes after 4 months will be 9765.The correct answer is:9765