In 2006 population of country was 32.2 million. This represented an increase of 3.6% since 2001. What was population of country in 2001. Round to nearest hundredth of a million.
1.036x = 32.2
x = 32.2/1.036
x = ?
I count 5 years
let the population in 2001 be P
P(1.036)^5 = 32.2 million
P = 32.2/1.036^5 = 26.98 million
To find the population of the country in 2001, we will use the given information that the population in 2006 was 32.2 million, representing an increase of 3.6% since 2001.
First, we need to calculate the population increase between 2001 and 2006. We can do this by multiplying the population in 2001 by the percentage increase:
Population increase = Population in 2001 * Percentage increase
Population increase = Population in 2001 * 3.6%
Next, we can set up an equation to solve for the population in 2001:
Population in 2006 = Population in 2001 + Population increase
Since we know the population in 2006 (32.2 million), we can rearrange the equation to solve for the population in 2001:
Population in 2001 = Population in 2006 - Population increase
Now, let's substitute the values into the equation:
Population in 2001 = 32.2 million - Population in 2001 * 3.6%
To solve for the population in 2001, we'll isolate the term with the unknown population:
Population in 2001 + Population in 2001 * 3.6% = 32.2 million
Combining like terms:
1.036 * Population in 2001 = 32.2 million
Dividing both sides of the equation by 1.036:
Population in 2001 ≈ 32.2 million / 1.036
Now, we can use a calculator to find the approximate value of the population in 2001:
Population in 2001 ≈ 31.07 million
Rounded to the nearest hundredth of a million, the population of the country in 2001 is approximately 31.07 million.