math

Country A has a growth rate of 2.1% per year. The population is currently 5,747,000 and the land area of Country A is 36,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land.This will happen in what years?

  1. 👍
  2. 👎
  3. 👁
  1. 5,747 * 1.021^n = 36,000,000

    1.021^n = 36,000,000/5,747 =

    n = log (36,000,000 / 5,747)/log 1.021

    = 421
    ============================
    check
    1.021^421 = 6307
    6307*5,747,000 = 3.6*10^10
    = 3.6*10,000,000,000 =36,000,000,000
    sure enough

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    the population growth of a city is modeled by P(t)=240,360e^.012t where t represents the number of years since 2000 a) what is the yearly growth rate as a percent? b) find the population in 2015 c) how long, to the nearest year,

  2. math

    the population of Smallville in the year 1890 was 6250.assume the population increased at a rate of 2.75% per year. predict when the population reached 50,000 I'm not suppose to use logs to find the answer :(

  3. Algebra

    On January 1, 2010, Chessville has a population of 50,000 people. Chessville then enters a period of population growth. Its population increases 7% each year. On the same day, Checkersville has a population of 70,000 people.

  4. 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

  1. Calculus

    The rate of growth of a particular population is given by dP/dt=50t^2-100t^3/2 where P is the population size and t is the time in years. The initial population is 25,000. Find the population function. Estimate how many years it

  2. Algebra II Help

    4) The function f(x)=2(3)^x represents the growth of a dragonfly population every year in a remote swamp. Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. Which

  3. Algebra

    I know I can use the population growth formula. here is the question; The fox population in a certain region has a relative growth rate of 7% per year. It is estimated that the population in 2005 was 19,000. (a) Find a function

  4. Algebra

    The fox population in a certain region has a relative growth rate of 5% per year. It is estimated that the population in 2013 was 18,000. (a) Find a function n(t) = n0ert that models the population t years after 2013. n(t) =

  1. Trigonometry

    In 2010, the population of a country was 70 million and growing at a rate of 1.9% per year. assuming the percentage growth rate remains constant express the population P, as a function of t, the number of years after 2010.

  2. PreCal

    A country X has a population growth rate of 3%. How many years will it take the population of country X to double? Use continuous compound growth So I used A=Pe^.03n I know A has to be double P. e^.03 = 1.0304543954 but now I'm

  3. Math

    a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a certain year. Write an exponential function to represent the city’s population, y, based on the number of

  4. math

    After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world population is expected to slow dramatically in the twenty-first century. The function G(t) = 1.58e−0.213t gives the projected annual

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