Pre Calculus

The population P of a culture of bacteria is described by the equation P = 1600e^0.052t

where t is time, in hours, relative to the time at which the population was 1600.
(a) What was the population at t = 6 hours? Show your work.
(b) After how many hours will the population reach 8000? Round to the nearest tenth of an hour.
Show your work.

  1. 👍
  2. 👎
  3. 👁
  1. Please do not post any more questions until you've gone back shown what you know about solving your previous questions.

    1. 👍
    2. 👎
    👤
    Ms. Sue
  2. Shsjsksk

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calc

    The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. a) Find the initial population. b) Write an

  2. Math

    a lab has two bacterial cultures. culture a contains 8×10^4 bacteria and culture B contains 4 × 10^6 bacteria. How do the two cultures compare in size?

  3. AP CALC

    At any time t=>0 , in days, the rate of growth of a bacteria population is given by y' = ky, where y is the number of bacteria present and k is a constant. The initial population is 1500 and the population quadrupled during the

  4. PreCalc

    The initial size of a culture of bacteria is 1500. After 1 hour the bacteria count is 12000. (a) Find a function n(t) = n0e^rt that models the population after t hours. (Round your r value to five decimal places.) n(t) = (b) Find

  1. Math

    A culture of bacteria in a petri dish is doubling every hour. If there are 100 bacteria at time t=0, how many bacteria will there be in 12 hours?

  2. math

    A biologist grows a culture of bacteria as part of an experiment. At the start of the experiment, there are 75 bacteria in the culture. The biologist observes that the population of bacteria dobules evert 18 minutes. Which of the

  3. Algebra 2 check my answer please?

    The population of a bacteria in a Petri dish doubles every 16 hours. The population of the bacteria is initially 500 organisms. How long will it take for the population of the bacteria to reach 800? Round your answer to the

  4. SCIENTIFIC NOTATION

    A lab has two bacteria cultures. Culture A contains 8*10^4 bacteria and culture B contains 4*10^6 bacteria. How do the two cultures compare in size? A. Culture A contains twice as many bacteria as Culture B B. Culture A contains

  1. Math

    The generation time G for a particular bacterium is the time it takes for the population to double. The bacteria increase in population is shown by the formula G = t over 3.3log a p, where t is the time period of the population

  2. Math

    How do I solve this if there is no equation to this 1. The population of the bacteria in a Petri dish increases by a factor of 10 every 10 hour. If there are initally 20 bacteria in the dish, how long will it take before the

  3. Math

    The population of bacteria in a petri dish doubles every 12 h. The population of the bacteria is initially 500 organisms. How long will it take for the population of the bacteria to reach 800? Round your answer to the nearest

  4. science

    Darwin hypothesized that there are definite steps to natural selection. Consider the model here. Use the Roman numerals (I - III) to guide you through the steps. Which is an accurate description of Darwin's hypothesized theory of

You can view more similar questions or ask a new question.