In a survey, the population growth in an area can be predicted according to the equation α(T)=αO(1+d/100)T where d is the percentage growth rate of population per year and T is the time since the initial population count αo was taken. If in 2015, the population of Adyar was 30,000 and the population growth rate is 4% per year, then what will be the approximate population of Adyar in 2020?(T = 0 corresponds to the year 2015, T = 1 corresponds to the year 2016 and so on..)

The total expenditures (in millions) of current dollars for pollution abatement and control during the poriod from 2000 through 2019 can be approximatod by the function P(x) = 175.17 e008x, where x0 corresponds to the year 2000. (a) In what year would the total expenditures reach $209 million dollars? (b) If this model remains accurate, when would the total expenditures reach $481 million?

Suppose a species of fish in a particular lake has a population that is modeled bythe logistic population model with growth rate k, carrying capacity N, and time tmeasured in years. Adjust the model to account for each of the following situations. * One hundred fish are harvested each year.* One-third of the fish population is harvested annually.* The number of fish harvested each year is proportional to the square root of thenumber of fish in the lake. I was hoping to compare my answer to yours because I am a little confused if I did it right. Thank you for your time and effort.

According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate continues, the model t- 2008 P(t) = 304 · (1.011)' represents the population P (in millions of people) in year t. According to the model, when will the population be 442 million people? Be sure to round your answer to the nearest whole year. Year