The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7%
per hour. How many hours does it take for the size of the sample to double?

Note: This is a continuous exponential growth model.

Do not round any intermediate computations, and round your answer to the nearest hundredth.

  1. 👍 1
  2. 👎 0
  3. 👁 1,936
  1. the growth after t hours is 1.036^t

    so, find t where

    1.036^t = 2
    t log1.036 = log2
    t = log2/log1.036 = 19.5986

    1. 👍 0
    2. 👎 2

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Suppose that a population of bacteria triples every hour and starts with 700 bacteria. (a) Find an expression for the number n of bacteria after t hours. n(t) = ? (b) Estimate the rate of growth of the bacteria population after

  2. 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

  3. Steve - Stat

    A Bacteria has a doubling period of 8 days. If there are 2250 bacteria present now, how many will there be in 33 days? find the growth rate (Round this to 4 decimal places). Growth Rate___________. There will be _________

  4. Math

    A population doubles every 18 years. Assuming exponential growth find the following: (a) The annual growth rate: (b) The continuous growth rate is

  1. math

    the population of a southern city follows the exponential law. If the population doubled in size over an 18 month period and the current population in 10000, what will be the population 2 years from now? the equation for the

  2. Algebra

    The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5 and x = 7? A) 5 B) 25 C) 125 D) 625 3) If a city that currently has a population of 1000 triples in

  3. Calculus

    The population of a colony of bacteria is modeled by the function p(x)=50(e^-x - e^-x^2)+10 ,for 0 ≤ x, where population P is in thousands, x is in hours, and x = 0 corresponds to the moment of introduction of a certain chemical

  4. Urgent math

    population growth model. Can anybody please help me out in trying to solve this problem? It's my homework and I don't seem to understand what I am getting. The count in a culture of bacteria was 400 after 2 hours and 25,600 after

  1. Algebra II

    An investment service promises to triple your money in 12 years. Assuming continuous compounding of interest, what rate of interest is needed? For the question is it asking me if simple interest or continuously compounded interest

  2. Honors Algebra

    A biologist is researching a newly discovered species of bacteria. At time t=0 hours, she puts on hundred bacteria into a Petri dish. Six hours later, she measures 450 bacteria. Assuming exponential growth, what is the growth rate

  3. Calculous Pre

    A population grows from 11,000 to 15,000 in three years. Enter your answers to three decimal places. Assuming the growth is exponential, find the growth rate and continuous growth rate Growth rate ______ %? Continuous rate

  4. precalculus

    A population doubles every 30 years. Assuming exponential growth find the following: annual growth rate: % continuous growth rate: %

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