Mexico city, mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. its population in 1991 was 20,899,000 people. use the formula p = 20.899e0.032t to predict its population p in millions with t equal to the number of years after 1991. what is the predicted population to the nearest thousand of mexico city for the year 2010?

38.3863 million

Step-by-step explanation:

We know that the initial population is 20,899 million.

The annual growth rate is 0.032.

The formula for population growth is:

We wish to find the population in 2010.

Between 1991 and 2010, 19 years go by.

So:

P(19) = 38.3863 million

The prediction says that for the year 2010 the population will be 38.38633 million

The predicted population to the nearest thousand of Mexico City for the year 2010 is 38.24517 million.

Step-by-step explanation:

Given : Mexico City is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. Its population in 1991 was 20,899,000 people.

Formula used :  to predict its population P in millions with t equal to the number of years after 1991.

To find : What is the predicted population to the nearest thousand of Mexico City for the year 2010?

Solution :

The formula used to determine the population of the city is

Where, 20.899 is the initial population at 1991.

0.032 is the growth rate of the population.

t is the time.

We have to find the population for year 2010.

So, number of years between 1991 to 2010 is 2010-1991=19 years.

Substitute t=19 in the formula to get  the population for year 2010.

Therefore, The predicted population to the nearest thousand of Mexico City for the year 2010 is 38.24517 million.

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