A population of mosquitoes is growing in a pond. Suppose that the initial population (at day ) is 420 mosquitoes and the population doubles in size every 3 days. Assume that the mosquito population grows exponentially. a. Write a function to model the number of mosquitoes in the pond. b. How many mosquitoes will be in the pond after 20 days? Show algebraic work to support your answer. c. When are there 10,000 mosquitoes? Show algebraic work to support your answer.

Which statement justifies why angle ebc measures 90?

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.