In: Advanced Math

A country's census lists the population of the country as 254
million in 1990, 286 million in 2000, and 314 million in 2010. Fit
a second-degree polynomial passing through these three points. (Let
the year 2000 be * x* = 0 and let

p(x) = ________million

Use this polynomial to predict the populations in 2020 and in 2030.

2020_________million

2030 ________million

254 million in 1990, 286 million in 2000, and 314 million in 2010

Let the year 2000 be * x* = 0

so points are (-10,254),(0,286), (10,314)

put all points in above equation

system Ax=b is

augmented matrix is

solution is

so equation is

.

for the year 2020 take x=20

**millions
in 2020**

.

for the year 2030 take x=30

**
millions in 2030**

The population of a country was 5.192 million in 1990. The
approximate growth rate of the country's population is given by f
(t) = 0.08083944 e ^ 0.01557t where t = 0
corresponds to 1990.
A. Find a function that gives the population of the country (in
millions) in year t.
B. Estimate the country's population in 2014.

According to a census bureau, 12.5% of the population in a
certain country changed addresses from 2008 to 2009. In 2010, 14
out of a random sample of 200 citizens of this country said they
changed addresses during the previous year (in 2009). Complete
parts a through c below. a. Construct a 99% confidence interval to
estimate the actual proportion of people who changed addresses from
2009 to 2010. A 99% confidence interval to estimate the actual
proportion has a...

The country of Econometrix has the following statistics.
Population: 22.5 million
Population under the age of 16 years: 7.5 million
Discouraged workers: 200,000.
Retired people: 1 million
Structurally unemployed people: 200,000
Frictionally unemployed people: 200,000
Cyclically unemployed people: 2.2 million
Using only these statistics above, answer the following four
parts. Show full calculations.
i. What is the labour force participation rate in economy
X?
ii. What is the current total unemployment rate in...

The carrying capacity for a country is 800 million. The
population grew from 282 million in the year 2000 to 309 million in
the year 2010.
1) Make a logistical model for determining the country's
population
2) Use this model to predict the country's population in
2100
3) Predict the year in which the population will exceed 500
million

Figure 8-16 on page 254 in your textbook lists traditional,
evolving, and emerging technologies used to capture and enter data
into a system. List 10 actual examples with descriptions of
innovative methods to capture data. To get you started look at law
enforcement, agriculture, GPS, hand held devices, manufacturing,
RFID, barcoding among other numerous fields. You can also think
about devices/methods that are actually used, are unexpected, or
cutting edge. In your description make sure you describe how this
method...

Figure 8-16 on page 254 in your textbook lists traditional,
evolving, and emerging technologies used to capture and enter data
into a system. List 10 actual examples with descriptions of
innovative methods to capture data. To get you started look at law
enforcement, agriculture, GPS, hand held devices, manufacturing,
RFID, barcoding among other numerous fields. You can also think
about devices/methods that are actually used, are unexpected, or
cutting edge. In your description make sure you describe how this
method...

a. A company generated revenues of $286 million during the last
twelve months, with an operating margin of 42.8% and net margin of
28.9%. Its current market capitalization (equity value) is $506
million and it has 12 million shares outstanding. What's its
trailing PE ratio? Round to one decimal place.
b. What is the free cash flow of a firm with revenues of $59
million, operating margin of 39.5%, net margin of 15.2%, tax rate
of 10.1%, and reinvestment rate...

A small country with an adult population
of 2.5 million has 1.2 million employed and 100,000 unemployed, and
the rest of the adult population is out of the labor force.
Calculate the following indicators and show your
work.1. Labor force participation rate=2. Unemployment rate=3 . If the number of unemployed persons changed to
130,000, calculate the percentage change in unemployed
people.

Two towns had a population of 12,000 in 1990. By 2000, the
population of town A had increased by 13 % while the population
of town B had decreased by 13 %. Assume these growth and decay
rates continued.
a. Write two exponential population models A(T)
and B(T) for towns A and B, respectively, where T is the number of
decades since 1990.
A(T)=
12000*e0.12*T
B(T)=
12000*e−0.14*T
b. Write two new exponential models a(t) and
b(t) for towns A and...

In 2013, Country A had a population aged 16 and over of 35
million, a labour force participation rate of 70%, and an
unemployment rate of 8%. In 2014, the population rose by 1%, the
number of new entrants was 50 000, the number of employed
habitants remained unchanged, and the unemployment rate decreased
to 7.0000033%. What was the total number of dropouts and
retirements in 2014?

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