Question 1

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?

Accepted Answer

A)  21.62 
B)  35.81 
C)  65.47 
D)  96.55 
A)  21.62 
B)  35.81 
C)  65.47 
D)  96.55

Question 2

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?

Accepted Answer

The answer of A colony of penguins had 1024 members...

Question 3

Use the following reproduction curve for a population to answer the Questions Units are in thousands.  
-A population equilibrium corresponds to:

Accepted Answer

A)  10,000. 
B)  20,000. 
C)  30,000. 
D)  40,000. 
A)  10,000. 
B)  20,000. 
C)  30,000. 
D)  40,000.

Question 4

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?

Accepted Answer

The answer of The half-life of carbon-14 is 5730 years....

Question 5

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?

Accepted Answer

A)  21.62 
B)  35.81 
C)  65.47 
D)  96.55 
A)  21.62 
B)  35.81 
C)  65.47 
D)  96.55

Question 6

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?

Accepted Answer

A)  46,506,993 
B)  47,165,236 
C)  49,203,421 
D)  50,120,215 
A)  46,506,993 
B)  47,165,236 
C)  49,203,421 
D)  50,120,215

Question 7

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?

Accepted Answer

A)  2,465,421 
B)  5,617,428 
C)  5,960,700 
D)  7,187,500 
A)  2,465,421 
B)  5,617,428 
C)  5,960,700 
D)  7,187,500

Question 8

Use the following reproduction curve for a population to answer the Questions Units are in thousands.  
-A population equilibrium corresponds to:

Accepted Answer

A)  20,000. 
B)  30,000. 
C)  40,000. 
D)  50,000. 
A)  20,000. 
B)  30,000. 
C)  40,000. 
D)  50,000.

Question 9

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?

Accepted Answer

A)  6,238,100 
B)  7,284,700 
C)  8,028,200 
D)  8,187,500 
A)  6,238,100 
B)  7,284,700 
C)  8,028,200 
D)  8,187,500

Question 10

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?

Accepted Answer

A)  4,565,454 
B)  4,818,995 
C)  5,224,386 
D)  6,187,500 
A)  4,565,454 
B)  4,818,995 
C)  5,224,386 
D)  6,187,500

Question 11

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?

Accepted Answer

A)  4751 
B)  4923 
C)  5071 
D)  5120 
A)  4751 
B)  4923 
C)  5071 
D)  5120

Question 12

The half-life of iron-59 is 45 days. After three months, how much of a 72-gram sample of iron-59 is left?

Accepted Answer

A)  10 grams 
B)  18 grams 
C)  24 grams 
D)  70 grams 
A)  10 grams 
B)  18 grams 
C)  24 grams 
D)  70 grams

Question 13

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?

Accepted Answer

A)  70,165 
B)  99,351 
C)  101,203 
D)  120,032 
A)  70,165 
B)  99,351 
C)  101,203 
D)  120,032

Question 14

Refer to the iterated function system based on the function $f ( n )$ =  the sum of the squares of the digits of n text to solve the questions: 
-If the $m \text { th }$ term is 20, what could term number $m - 1$ be?

Accepted Answer

A)  42 
B)  24 
C)  11411 
D)  All of the above. 
A)  42 
B)  24 
C)  11411 
D)  All of the above.

Question 15

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?

Accepted Answer

The answer of The population of the state of Virginia...

Question 16

A population grows according to a logistic growth model, with population parameter
F1F1F1S1F1F1F10 = 4.1 and x = 0.9 for the first year. Find the value of x after the second year.

Accepted Answer

The answer of A population grows according to a logistic...

Question 17

Suppose that the discrete logistic model for population growth is models as follows: $P _ { n + 1 } = P _ { n } + 0.351 P _ { n } \left( 1 - \frac { P _ { n } } { 2.849 \times 10 ^ { 8 } } \right)$ What is the carrying capacity?

Accepted Answer

A)  0.351 
B)  $1.232 \times 10 ^ { - 9 }$ 
C)  $2.849 \times 10 ^ { 8 }$ 
D)  None of the above. 
A)  0.351 
B)  $1.232 \times 10 ^ { - 9 }$ 
C)  $2.849 \times 10 ^ { 8 }$ 
D)  None of the above.

Question 18

A population grows according to a logistic population model, with population parameter F1F1F1S1F1F1F10 = 3.8 and starting population fraction x = 0.8 for the first year. The value of x after the second year is:

Accepted Answer

A)  0.273. 
B)  0.546. 
C)  0.608. 
D)  0.994. 
A)  0.273. 
B)  0.546. 
C)  0.608. 
D)  0.994.

Question 19

Suppose the world demand for cobalt is about 16,360,000 pounds per year and the static reserve is 110. The demand for cobalt is increasing at a rate of 1.5%. What is the exponential reserve for cobalt?
A)
21.62
B)
35.81
C)
65.47
D)
96.55

Accepted Answer

The answer of Suppose the world demand for cobalt is...

Question 20

Use the following reproduction curve for a population to answer the Questions Units are in thousands.  
-The maximum sustainable yield is approximately:

Accepted Answer

A)  10,000. 
B)  20,000. 
C)  30,000. 
D)  40,000. 
A)  10,000. 
B)  20,000. 
C)  30,000. 
D)  40,000.

Exam 23: The Economics of Resources

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?

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?

Use the following reproduction curve for a population to answer the Questions Units are in thousands. -A population equilibrium corresponds to:

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?

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?

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?

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?

Use the following reproduction curve for a population to answer the Questions Units are in thousands. -A population equilibrium corresponds to:

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?

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?

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?

The half-life of iron-59 is 45 days. After three months, how much of a 72-gram sample of iron-59 is left?

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?

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−1m - 1m−1 be?

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?

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.

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:

Suppose the world demand for cobalt is about 16,360,000 pounds per year and the static reserve is 110. The demand for cobalt is increasing at a rate of 1.5%. What is the exponential reserve for cobalt? A) 21.62 B) 35.81 C) 65.47 D) 96.55

Use the following reproduction curve for a population to answer the Questions Units are in thousands. -The maximum sustainable yield is approximately:

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Probability: the Mathematics of Chance

Social Choice: the Impossible Dream

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Refer to the iterated function system based on the function $f ( n )$ = the sum of the squares of the digits of n text to solve the questions: -If the $m \text { th }$ term is 20, what could term number $m - 1$ be?