In 2014, the size of a Midwest city's population was growing at a rate of 0.673% yearly. If there were 307,000 people living in that city in 2014, find how many people (rounded to the nearest whole) should be expected in the year 2036? Use P = P 0 e 0.00673 t P=P0e0.00673t, where t t is the number of years since 2014 and P 0 P0 is the initial population.

Question

Nikki

Mathematics

8 April, 11:48

In 2014, the size of a Midwest city's population was growing at a rate of 0.673% yearly. If there were 307,000 people living in that city in 2014, find how many people (rounded to the nearest whole) should be expected in the year 2036? Use P = P 0 e 0.00673 t P=P0e0.00673t, where t t is the number of years since 2014 and P 0 P0 is the initial population.

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Ryan Cherry · Answer 1

Answer:The expected number of people in 2036 is 355992

Step-by-step explanation:

The formula or equation for determining the the population of Midwest city after t years is expressed as

P = Poe0.00673t

Where

Po is the initial population

0.673% represents the rate at which the population increased yearly.

From the information given,

The total number of people that lived in Midwest city in 2014 was 307,000 people. It means that Po = 307000. The number of years between 2014 and 2036 is 22 years so t = 22. Therefore,

P = Poe0.00673 ^ 22 = 355992