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. The demand for copper is increasing at a rate of 4.6%. What is the exponential reserve for copper?

Accepted Answer

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

Question 2

A population grows according to a logistic population model, with population parameter F1F1F1S1F1F1F10 = 4.0 and starting population fraction x = 0.67 for the first year. The value of x after the fourth year is:

Accepted Answer

A)  0.433. 
B)  0.592. 
C)  0.827. 
D)  0.967.

Question 3

Suppose the world demand for chromium is about 1,845,000 tons per year. The known global reserves are 775,000,000 tons. What is the static reserve for chromium?

Accepted Answer

A)  98.15 
B)  110.02 
C)  420.05 
D)  604.51

Question 4

Suppose that the discrete logistic model for population growth is models as follows: $P _ { n + 1 } = 1.5612 P _ { n } - 0.000861 P _ { n } ^ { 2 }$ What is the natural rate of increase when the population is small?

Accepted Answer

A)  0.5612 
B)  1.5612 
C)  0.00086 
D)  651.8

Question 5

Suppose that the discrete logistic model for population growth is models as follows: $P _ { n + 1 } = 1.5612 P _ { n } - 0.000861 P _ { n } ^ { 2 }$ What is the carrying capacity?

Accepted Answer

A)  0.5612 
B)  1.5612 
C)  0.00086 
D)  651.8

Question 6

List the three characteristics of a dynamical system that exhibits chaos.

Accepted Answer

The answer of List the three characteristics of a dynamical...

Question 7

The population of the state of Texas in 1993 was about 17,778,000. In 2001, the population was about 21,325,000. What was the average growth rate over that period?

Accepted Answer

A)  0.3% 
B)  1.2% 
C)  1.9% 
D)  2.3%

Question 8

The population of the state of New York in 2000 was about 18,976,000. In 2001, the population was about 19,011,000. What was the average growth rate over that period?

Accepted Answer

A)  0.18% 
B)  1.16% 
C)  1.90% 
D)  2.30%

Question 9

A population grows according to a logistic population model, with population parameter F1F1F1S1F1F1F10 = 2.5 and starting population fraction x = 0.28 for the first year. The value of x after the fourth year is:

Accepted Answer

A)  0.210. 
B)  0.501. 
C)  0.586. 
D)  0.702.

Question 10

A population grows according to a logistic growth model, with population parameter
F1F1F1S1F1F1F10 = 3.1 and x = 0.9 for the first year. Find the value of x after the third year.

Accepted Answer

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

Question 11

Suppose the world demand for gold is about 32,000,000 troy ounces per year. The known global reserves are 100,000,000,000 troy ounces. The demand for gold is increasing at a rate of 4.1%. What is the exponential reserve for gold?

Accepted Answer

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

Question 12

A colony of penguins had 541 members at the beginning of 1994. At the beginning of 2015, the colony had grown to 770 members. What was the average growth rate over that period?

Accepted Answer

The answer of A colony of penguins had 541 members...

Question 13

The population of a small town was 1500 at the beginning of 2007. Assuming an average growth rate of 2.3% per year, what will the population be at the beginning of 2015?

Accepted Answer

A)  1621 
B)  1799 
C)  2137 
D)  3197

Question 14

Suppose the world demand for silver is about 343,750,000 troy ounces per year. The known global reserves are 5,500,000,000 troy ounces. What is the static reserve for silver?

Accepted Answer

A)  3.44 
B)  14.2 
C)  16.0 
D)  51.5

Question 15

A population grows according to a logistic growth model, with population parameter
F1F1F1S1F1F1F10 = 3.9 and x = 0.84 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 16

Suppose the world demand for coal is about 2,174,000,000 tons per year. The known global reserves are 5,000,000,000,000 tons. What is the static reserve for coal?

Accepted Answer

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

Question 17

A colony of penguins had 352 members at the beginning of 1998. The colony is expanding at an average rate of 1.2% per year. How many penguins will there be at the beginning of 2015?

Accepted Answer

The answer of A colony of penguins had 352 members...

Question 18

Suppose the world demand for zinc is about 5,000,000 tons per year. The known global reserves are 123,000,000 tons. What is the static reserve for zinc?

Accepted Answer

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

Question 19

The half-life of polonium-210 is 138 days. How many days will it take for 10 grams of polonium-210 to decay to 3 grams? Round to the nearest day.

Accepted Answer

The answer of The half-life of polonium-210 is 138 days....

Question 20

Suppose the world demand for cobalt is about 16,360,000 pounds per year. The known global reserves are 1,800,000,000 pounds. The demand for cobalt is increasing at a rate of 1.5%. What is the exponential reserve for cobalt?

Accepted Answer

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

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. The demand for copper is increasing at a rate of 4.6%. What is the exponential reserve for copper?

A population grows according to a logistic population model, with population parameter  = 4.0 and starting population fraction x = 0.67 for the first year. The value of x after the fourth year is:

Suppose the world demand for chromium is about 1,845,000 tons per year. The known global reserves are 775,000,000 tons. What is the static reserve for chromium?

Suppose that the discrete logistic model for population growth is models as follows: $P _ { n + 1 } = 1.5612 P _ { n } - 0.000861 P _ { n } ^ { 2 }$ What is the natural rate of increase when the population is small?

Suppose that the discrete logistic model for population growth is models as follows: $P _ { n + 1 } = 1.5612 P _ { n } - 0.000861 P _ { n } ^ { 2 }$ What is the carrying capacity?

List the three characteristics of a dynamical system that exhibits chaos.

The population of the state of Texas in 1993 was about 17,778,000. In 2001, the population was about 21,325,000. What was the average growth rate over that period?

The population of the state of New York in 2000 was about 18,976,000. In 2001, the population was about 19,011,000. What was the average growth rate over that period?

A population grows according to a logistic population model, with population parameter  = 2.5 and starting population fraction x = 0.28 for the first year. The value of x after the fourth year is:

A population grows according to a logistic growth model, with population parameter  = 3.1 and x = 0.9 for the first year. Find the value of x after the third year.

Suppose the world demand for gold is about 32,000,000 troy ounces per year. The known global reserves are 100,000,000,000 troy ounces. The demand for gold is increasing at a rate of 4.1%. What is the exponential reserve for gold?

A colony of penguins had 541 members at the beginning of 1994. At the beginning of 2015, the colony had grown to 770 members. What was the average growth rate over that period?

The population of a small town was 1500 at the beginning of 2007. Assuming an average growth rate of 2.3% per year, what will the population be at the beginning of 2015?

Suppose the world demand for silver is about 343,750,000 troy ounces per year. The known global reserves are 5,500,000,000 troy ounces. What is the static reserve for silver?

A population grows according to a logistic growth model, with population parameter  = 3.9 and x = 0.84 for the first year. Find the value of x after the second year.

Suppose the world demand for coal is about 2,174,000,000 tons per year. The known global reserves are 5,000,000,000,000 tons. What is the static reserve for coal?

A colony of penguins had 352 members at the beginning of 1998. The colony is expanding at an average rate of 1.2% per year. How many penguins will there be at the beginning of 2015?

Suppose the world demand for zinc is about 5,000,000 tons per year. The known global reserves are 123,000,000 tons. What is the static reserve for zinc?

The half-life of polonium-210 is 138 days. How many days will it take for 10 grams of polonium-210 to decay to 3 grams? Round to the nearest day.

Suppose the world demand for cobalt is about 16,360,000 pounds per year. The known global reserves are 1,800,000,000 pounds. The demand for cobalt is increasing at a rate of 1.5%. What is the exponential reserve for cobalt?

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. The demand for copper is increasing at a rate of 4.6%. What is the exponential reserve for copper?

A population grows according to a logistic population model, with population parameter  = 4.0 and starting population fraction x = 0.67 for the first year. The value of x after the fourth year is:

Suppose the world demand for chromium is about 1,845,000 tons per year. The known global reserves are 775,000,000 tons. What is the static reserve for chromium?

Suppose that the discrete logistic model for population growth is models as follows: Pn+1=1.5612Pn−0.000861Pn2P _ { n + 1 } = 1.5612 P _ { n } - 0.000861 P _ { n } ^ { 2 }Pn+1​=1.5612Pn​−0.000861Pn2​ What is the natural rate of increase when the population is small?

Suppose that the discrete logistic model for population growth is models as follows: Pn+1=1.5612Pn−0.000861Pn2P _ { n + 1 } = 1.5612 P _ { n } - 0.000861 P _ { n } ^ { 2 }Pn+1​=1.5612Pn​−0.000861Pn2​ What is the carrying capacity?

List the three characteristics of a dynamical system that exhibits chaos.

The population of the state of Texas in 1993 was about 17,778,000. In 2001, the population was about 21,325,000. What was the average growth rate over that period?

The population of the state of New York in 2000 was about 18,976,000. In 2001, the population was about 19,011,000. What was the average growth rate over that period?

A population grows according to a logistic population model, with population parameter  = 2.5 and starting population fraction x = 0.28 for the first year. The value of x after the fourth year is:

A population grows according to a logistic growth model, with population parameter  = 3.1 and x = 0.9 for the first year. Find the value of x after the third year.

Suppose the world demand for gold is about 32,000,000 troy ounces per year. The known global reserves are 100,000,000,000 troy ounces. The demand for gold is increasing at a rate of 4.1%. What is the exponential reserve for gold?

A colony of penguins had 541 members at the beginning of 1994. At the beginning of 2015, the colony had grown to 770 members. What was the average growth rate over that period?

The population of a small town was 1500 at the beginning of 2007. Assuming an average growth rate of 2.3% per year, what will the population be at the beginning of 2015?

Suppose the world demand for silver is about 343,750,000 troy ounces per year. The known global reserves are 5,500,000,000 troy ounces. What is the static reserve for silver?

A population grows according to a logistic growth model, with population parameter  = 3.9 and x = 0.84 for the first year. Find the value of x after the second year.

Suppose the world demand for coal is about 2,174,000,000 tons per year. The known global reserves are 5,000,000,000,000 tons. What is the static reserve for coal?

A colony of penguins had 352 members at the beginning of 1998. The colony is expanding at an average rate of 1.2% per year. How many penguins will there be at the beginning of 2015?

Suppose the world demand for zinc is about 5,000,000 tons per year. The known global reserves are 123,000,000 tons. What is the static reserve for zinc?

The half-life of polonium-210 is 138 days. How many days will it take for 10 grams of polonium-210 to decay to 3 grams? Round to the nearest day.

Suppose the world demand for cobalt is about 16,360,000 pounds per year. The known global reserves are 1,800,000,000 pounds. The demand for cobalt is increasing at a rate of 1.5%. What is the exponential reserve for cobalt?

Suppose that the discrete logistic model for population growth is models as follows: $P _ { n + 1 } = 1.5612 P _ { n } - 0.000861 P _ { n } ^ { 2 }$ What is the natural rate of increase when the population is small?

Suppose that the discrete logistic model for population growth is models as follows: $P _ { n + 1 } = 1.5612 P _ { n } - 0.000861 P _ { n } ^ { 2 }$ What is the carrying capacity?