Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.)P'(4) = bacteria per hour

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

(b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.)P(4) = bacteria

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=

Bacteria are growing in a culture, and their number is increasing at the rate of 7% per hour. Initially, 500 bacteria are present.Determine an equation that gives the number, 𝑁, of bacteria present after 𝑡 hours.

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.)