Algebra and Maths

In a pest eradication program, "N" sterilized male flies are released into a general population each day.
It is estimated that 90% of these flies will survive a give data.

A) Show that the number of sterilzed flies in population "n" days after the program begun is:

(geometric sequence)

B) If long range goal of the program is to keep 20,000 sterilized male flies in the population, how many flies should be released each day?

  1. 👍
  2. 👎
  3. 👁
  1. A) just check the population after each day
    1: 90% survive; a new batch is added.
    Total is .90N+N
    2: 90% of 1st day's group survive: .90*.90
    90% of 2nd batch survive; N more added
    total: .90*.90N + .90N + N
    So, after n days, you can see the proposed sequence.

    B) You want the limit to be 20000, so

    N/(1-.90) = 20000
    N =200,000

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics.urgent please help..

    A local college cafeteria has a self-service soft ice-cream machine. The cafeteria provides bowls that can hold up to 16 ounces of ice-cream. The food service manager is interested in comparing the average amount of ice-cream

  2. profit and loss

    two thousand people live in business village of which 55% were male. the male population earned 5 % and female population earned 8% on an investment of rs. 50 each. find the change in the % profit of the village if the ratio of

  3. Statistics

    The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80

  4. math

    The education department of state is interested in funding an education assistance program for 12 year-old children whose intelligence quotients lie in the bottom 5% of the population. According to national data, the IQ's of the

  1. science

    A general aviation aircraft, with a wing surface area of 18 square metres, flies at sea level with a speed of 180 kilometres per hour. Its lift curve is shown below. Given that lift equals weight for this aircraft and that the

  2. Math

    A population of flies grows according to the function p(x)=2(4)^x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x)=2x + 5. What is the population of flies after two

  3. Science

    Which of these is an example of how an abiotic factor affects a biotic factor? 1 Taming of a wild animal, like Cockatoo, for commercial purposes. 2. A fungus infects the population of frogs causing a population decline 3. An

  4. Statistics

    Suppose a researcher wants to study the effectiveness of a new reading program for students who have not acquired the necessary reading skills by the time they reach the 8th grade. A randomly selected group of 50 students from a

  1. Calculus

    On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly (Drisophila) with a limited food supply could be approximated by the exponential model below where t denotes the number of days

  2. Social Studies

    Colombian eradication programs designed to limit or halt the production of crops used to produce drugs is unlikely to cause a decrease in A. deforestation B. poor soil quality. C. The population of Columbia. D. the number of

  3. Science

    What has been the general trend in human population growth? A. The Human Population has decreased. B. The Human Population has remained constant. C. The Human Population has grown exponentially. D. The Human Population has

  4. biology

    a farmer sprays insecticide on his crops and notices that the insect pest problems disappear. a year later he tries the same insecticide only to find that he did not achieve the same result. the insect population shows resistance

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