A population numbers 12 000 organisms initially and decreases by 4% each year. Suppose P represents population, and t the number of years of growth. An exponential model for population can be written in the form P = ab', where

A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia in the lake. Assume that the growth of the population of tilapia follows the logistic model, and that the lake has a carrying capacity of 20400 for this species of tilapia. (a) Write a formula that gives the number of tilapia after t years. (b) When will the population reach 10000? (c) How fast is the population changing when there are 10000 tilapia in the lake?

The table below represents the number of clients for a company from 2018 to 2022 (t − 0 represents 2018): Year, t Clients(Thousands) 1 6 2 10 3 25 4 34 (a) Find a logarithmic regression model, f(t) = A ln t + C to represent the data. (b) Using the model, predict the number of users in 2023? (c) Using the model, when will the company exceed 5227 clients?

If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population increases exponentially.