SOLUTION: The population of the world in 1995 was 5.7 billion people. The observed population growth rate was 2% per year. -Assuming the growth rate doesn't change, what will the populat

Algebra.Com
Question 1010080: The population of the world in 1995 was 5.7 billion people. The observed population growth rate was 2% per year.
-Assuming the growth rate doesn't change, what will the population be in the year 2046?
-In what year will the worlds population have tripled?
-The predicted sustainable population of the earth is 20.1 billion people. When will Earth have too many people?
I got 15.6 billion for part a and I need help on parts b and c. Thank you!!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The population of the world in 1995 was 5.7 billion people. The observed population growth rate was 2% per year.
-Assuming the growth rate doesn't change, what will the population be in the year 2046?
1995 to 2046 is 51 years
---
A(51) = 5.7*1.02^51 = 15.65 billion
------------------------
-In what year will the worlds population have tripled?
Ans:: When 1.02^x = 3
x = log(3)/log(1.02) = 55.48 years or the year 1995 + 55.48 = 2050
---------------------
-The predicted sustainable population of the earth is 20.1 billion people. When will Earth have too many people?
Solve:: 20.1 = 5.7(1.02)^x
3.52 = 1.02^x
x = log(3.52)/log(1.02) = 63.55 or the year 2058
-----------
Cheers,
Stan H.
---------
I got 15.6 billion for part a and I need help on parts b and c. Thank you!!

RELATED QUESTIONS

The population of the world in 1987 was about 5 billion, and the relative growth rate was (answered by josgarithmetic)
The population of the world in 1995 was 5.7 billion people. The observes population... (answered by scott8148)
The population of the world in 1987 was 5 billion and the growth rate was estimated at 7... (answered by josgarithmetic)
In 2008,the world population was 6.7 billion and the exponential growth rate was 1.14%... (answered by stanbon)
How long (in years) will it take the world population to double at an exponential growth... (answered by josgarithmetic)
World Population was 6.7 billion and the exponential growth rate was 1.14% per year.... (answered by stanbon)
The population of a certain city was 116,000 in 1995, and the observed relative growth... (answered by stanbon)
in 2000, the population of the united states was 286.75 million and the exponential... (answered by nerdybill)
In 1984, the population of the world was about 4.8 billion and the yearly growth rate was (answered by stanbon)