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Mathematics
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Practical Purposes
Exam 23: The Economics of Resources
Path 4
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Question 21
Multiple Choice
Suppose the world demand for copper is about 8,600,000 tons per year. The known global reserves are 308,000,000 tons. What is the static reserve for copper?
Question 22
Short Answer
A colony of penguins had 1024 members at the beginning of 2001. The colony is expanding at an average rate of 3.4% per year. How many penguins will there be at the beginning of 2015?
Question 23
Multiple Choice
Use the following reproduction curve for a population to answer the Questions Units are in thousands.
-A population equilibrium corresponds to:
Question 24
Short Answer
The half-life of carbon-14 is 5730 years. If a carbon sample that originally contained 1 milligram of carbon-14 now contains 0.05 milligrams, about how old is the sample to the nearest 100 years?
Question 25
Multiple Choice
Suppose the world demand for chromium is about 1,845,000 tons per year and the static reserve is 420. If the demand for chromium is increasing at a rate of 2.6%, what is the exponential reserve for chromium?
Question 26
Multiple Choice
In 1999 the population of the Ukraine was about 49,800,000 and the growth rate was approximately −0.62%. What is the projected population of the Ukraine in 2010?
Question 27
Multiple Choice
In 2001, the population of the state of Washington was about 5,594,000 and the growth rate was approximately 1.6%. What is the projected population of Washington in 2005?
Question 28
Multiple Choice
Use the following reproduction curve for a population to answer the Questions Units are in thousands.
-A population equilibrium corresponds to:
Question 29
Multiple Choice
The population of the state of Georgia in 2001 was about 8,384,000. The average growth rate from 2000 to 2001 was 2.4%. What was the approximate population in 2000?
Question 30
Multiple Choice
In 2001, the population of the state of Alabama was about 4,467,000 and the growth rate was approximately 0.4%. What is the projected population of Alabama in 2020?
Question 31
Multiple Choice
The population of a small town was 4500 at the beginning of 2009. Assuming an average growth rate of 1.3% per year, what will the population be at the beginning of 2019?
Question 32
Multiple Choice
The half-life of iron-59 is 45 days. After three months, how much of a 72-gram sample of iron-59 is left?
Question 33
Multiple Choice
In 1999 the population of the Marshall Islands was about 65,500 and the growth rate was approximately 3.86%. What is the projected population of the Marshall Islands in 2010?
Question 34
Multiple Choice
Refer to the iterated function system based on the function
f
(
n
)
f ( n )
f
(
n
)
= the sum of the squares of the digits of n text to solve the questions: -If the
m
th
m \text { th }
m
th
term is 20, what could term number
m
−
1
m - 1
m
−
1
be?
Question 35
Short Answer
The population of the state of Virginia was 7,187,700 at the beginning of 2002. Assuming an average growth rate of 1.5% per year, what will the population be at the beginning of 2020?
Question 36
Short Answer
A population grows according to a logistic growth model, with population parameter
= 4.1 and x = 0.9 for the first year. Find the value of x after the second year.
Question 37
Multiple Choice
Suppose that the discrete logistic model for population growth is models as follows:
P
n
+
1
=
P
n
+
0.351
P
n
(
1
−
P
n
2.849
×
1
0
8
)
P _ { n + 1 } = P _ { n } + 0.351 P _ { n } \left( 1 - \frac { P _ { n } } { 2.849 \times 10 ^ { 8 } } \right)
P
n
+
1
=
P
n
+
0.351
P
n
(
1
−
2.849
×
1
0
8
P
n
)
What is the carrying capacity?
Question 38
Multiple Choice
A population grows according to a logistic population model, with population parameter
= 3.8 and starting population fraction x = 0.8 for the first year. The value of x after the second year is: