# Uninhibited Growth

posted by .

In 1992, Chad and Denmark each had a population of about 5.2 million. However, the relative growth rate for Chad was 2.5% per year, which Denmark was 0.1% per year.

a. assuming exponential growth and the given growth rate, make projections for the population of each nation in the year 2010.

b. when might the population of Chad reach 10 million? What would the population of Denmark be at this time?

• Uninhibited Growth -

time from 1992 to 2010 = 18 years

Denmark:
pop = 5.2 e(18(.001)) = appr 5.29 million

pop = 5.2 e(18(.025)) = 8.2 million

when is
10 = 5.2 e^(.025t)
1.923077 = e^ .025t
.025t = ln 1.923077
t = 26.16 years or in appr 26 years or in 2018

(in 2010 it was 12.7 million)

## Similar Questions

1. ### Macroeconomics

Calculating the Rate of Growth of Per Capita Real GDP The annual rate of growth of real GDP in a developing nation is 0.3 percent. Initially, the countries' population was stable from year to year. Recently, however, a significant …
2. ### Math

Suppose that a country's population is 64 million and its population growth rate is 3.7% per year. If the population growth follows a logistic growth model with r=.053, what is the country;s carrying capacity?
3. ### Math

Suppose that a country's population is 64 million and its population growth rate is 3.7% per year. If the population growth follows a logistic growth model with r=.053, what is the country;s carrying capacity?
4. ### Math

Suppose that a country's population is 64 million and its population growth rate is 3.7% per year. If the population growth follows a logistic growth model with r=.053, what is the country's carrying capacity?
5. ### algebra

In 1998, the population of a given country was 37 million, and the exponential growth rate was 5% per year. Find the exponential growth function
6. ### Algebra

Wk 6 Sec 12.7 #24 World population growth In 2008 the world population was 6.7 billion and the exponential growth rate was 1.14% per year. A.Find the exponential growth function B.Predict the world’s population in 2014 C.When will …
7. ### maths

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015.
8. ### uninhibited growth

In 1992, Chad and Denmark each had a population of about 5.2 million. However, the relative groth reate for Chad was 2.5% per year and Denmark was 0.1% per year. a. assuming that exponential groth and the given groth rate, make projections …
9. ### maths

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1991.
10. ### Math

Assume the carrying capacity of the earth is 9 billion. Use the 1960s peak annual growth rate of 2.1​% and population of 3 billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population …

More Similar Questions