Question

In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had reached 67,132.

If the city grows continuously by the same percent each year, when will the population be growing at a rate of 3,400 people per year?

Answer #1

In the year 2000, the population of a small city was
50,000.
The population grows at a rate of r(t)=1200e^0.03t
people per year t years after 2000.
Between 2027 and 2039,
is estimated the population will grow by people.

In the 2000 U.S. Census, the ages of individuals in a small town
were found to be the following:
Less than 18
18-35
More than 35
20%
30%
50%
In 2010 the ages of 500 individuals from the same small town were
sampled with the following results:
Less than 18
18-35
More than 35
111
165
224
Using an alpha of 0.05, test the claim that the population
distribution of ages has changed in the last 10 years?
[Hint: Be...

A city had a population of 7,777 at the beginning of 1954 and
has been growing at 8.4% per year since then.
Find the size of the city at the beginning of 2000.
During what year will the population of the city reach
8,731,489?

A city had a population of 7,777 at the beginning of 1954 and
has been growing at 8.4% per year since then.
Find the size of the city at the beginning of 2000.
During what year will the population of the city reach
8,731,489?

In 2000, the population of Montrose, GA was 153. By 2010, the
population had increased to 215. (a) Find the linear model L(t)
that gives the population of Montrose t years after 2000. (b) Find
the exponential model E(t) that gives the population of Montrose t
years after 2000. (c) What do each of the models predict that the
population of Montrose will be by 2020?

Singleton is a booming city with lots of single people. It has a
population of 3 million, but since most of the people are single,
the population is only growing at a rate of 0.4% each year. The
nearby Babysville is a smaller city with a population of only 1.5
million, but because most of the people there love babies, the
population is growing at a rate of 2.1% per year. How long will it
take for the population of...

In
1994 the city of Anoka had a population of 18,000 people. Since
then the population has grown by 5.2% each year. In 1994 the city
of Minneapolis had a population of 390,000 and has been decreasing
by 2.3% each year. How many more people will be living in
Minneapolis compared to Anoka after 25 years?

A city had a population of 7,567 at the beggining of 1944 and
has been growing at 8.7% per year since then.
(a) Find the size of the city at the beginning of 1994.
Answer:
(b) During what year will the population of the
city reach 1,677,180 ?
Answer:

Tacoma's population in 2000 was about 200 thousand, and had been
growing by about 9% each year. a. Write a recursive formula for the
population of Tacoma b. Write an explicit formula for the
population of Tacoma c. If this trend continues, what will Tacoma's
population be in 2016? d. When does this model predict Tacoma’s
population to exceed 400 thousand?

This exercise deals with data from the U.S. Bureau of the Census
on populations of major cities.† These data allow us to find how
fast the population is growing and when it will reach certain
levels. Such calculations are very important, because they indicate
the future needs of the population for goods and services and how
well the area can support the population.
The third largest city in the United States is Chicago. Its
population in 2011 was 2,705 (in...

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