The population of a bee colony (in thousands of bees) is given by the following expression P(t) = 60−(35)/(t+ 1).The variable t represents time in years.(a) How big is the bee colony when t= 0?

A study of the annual population of bees in a county park shows the population, B(t)𝐵(𝑡), is declining due to pesticide usage and can be represented by the function B(t)=1872(.83)t𝐵(𝑡)=1872(.83)𝑡, where the t𝑡 represents the number of years since the study started. Based on the function, what is the percent the bees population declines by each year?

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420.(a) Find an expression for the number of bacteria after t hours.P(t) = 100·4.2t (b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.)P(4) = bacteria(c) Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.)P'(4) = bacteria per hour(d) When will the population reach 10,000? (Round your answer to one decimal place.)t = hr

The population P = P(t) at time 't' of a certain species follows the differential equation  = 0.5P – 450. If P(0) = 850, then the time at which population becomes zero is

A bacteria population is 7000 at time t = 0 and its rate of growth is 1000 · 2t bacteria per hour after t hours. What is the population after one hour? (Round your answer to the nearest whole number.)

A bacteria culture P grows according to dPdt =kP. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.1. What is the relative growth rate?Answer: k= 2. What was the initial size of the culture?Answer: P0= 3. Find an expression for the number of bacteria after t hours.Answer: P(t)= 4. When will the population reach 1000000?Answer (in hours): t=