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11 February, 16:32

In 1970, Town A had a population of 800 people and the population increased by 5% each year. In 1970, Town B had a population of 1100 people and the population increased by 50 people each year.

Which town will eventually have the greater population?

Which town had a greater population in 2000?

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  1. 11 February, 16:38
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    Town "A" was going to have a larger population eventually

    Town "A" = 3458 inhabitants

    Town "B" = 2600 inhabitants

    Step-by-step explanation:

    Eventually Town "A" will have a greater population population because it increases in percentage with respect to each year, therefore, there will come a time that its increase will be greater than 50 per year, which is what Town "B" increases.

    To calculate the population the first thing is to know that 30 years have passed, then we must calculate that 30-year increase.

    For Town "A" the increase would be as follows:

    800 * (1.05 ^ 30) = 3457.55 = 3458 inhabitants

    For Town "B" the increase would be as follows:

    1100 + 50 * 30 = 2600 inhabitants

    Thus checking that Town "A" was going to have a larger population eventually
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