Intermediate Algebra
posted by Samantha .
Hello I need a little help with my homework. I started trying to work it out but I am not sure if it is the correct solution. Please help!
Question:
Population growth. The exponential growth rate of the population of United Arab Emirates is 4.4% per year (one of the highest in the world). What is the doubling time?
Sources: Based on data from U.S. Census Bureau; International Data Base 2007
My Answer: I changed 4.4% to .044^2. My result was .001936 or round to 0.002%.
Is this correct? Should I be using the P(t) = P0e^kt? If so how should I go by doing so? Thanks for your help in advance!

If the population after year 1 is
P(1)=P(0)x1.044
at the end of year 2 it is
P(2)=P(1)x1.044 = P(0)x1.044^2
at the end of year t it is
P(t)=P(0)x(1.044)^t
to find when population has doubled (i.e. is 2P(0))
2P(0)= P(0)x(1.044)^t
and solve for t
2 = (1.044)^t
log(2)=log(1.044)^t)= txlog(1.044)
thus t=log(2)/log(1.044)
and I got 16.1 years
Respond to this Question
Similar Questions

Math
You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population … 
Mathematics
You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population … 
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 
MATH
You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population … 
college algebra HELP
The population of a city was 166 thousand at the begining of 2004. The exponential growth rate was 1.5% per year. Use the formula P(t)=P[o]e^(kt) where P[o] is the population in 2004 and k is the exponential growth rate. a) predict … 
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 worldâ€™s population in 2014 C.When will … 
environmental science
Explain the main point concerning exponential growth and whether it is good or bad. Compare exponential growth to a logistic growth curve and explain how these might apply to human population growth. What promotes exponential growth? 
Algebra
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? 
Algebra
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1000 bacteria selected from this population reached the size of 1274 bacteria in five hours. Find … 
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 function …