Exam 23: The Economics of Resources

The population of the United States in 1700 was about 600,000,000. In 2000, the population was about 6,000,000,000. What was the average growth rate over that period?

Suppose the world demand for chromium is about 1,845,000 tons per year. The known global reserves are 775,000,000 tons. The demand for chromium is increasing at a rate of 2.6%. What is the exponential reserve for chromium?

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

Use the following information to answer the Questions A radioactive element used in medicine has a physical half-life $H_{p}$ (the time in which half of any quantity of the element decays) and a biological half-life $H _ { b }$ (the time in which half of an amount of this element in the body is excreted). The effective half-life $H _ { e }$ is calculated from $\frac { 1 } { H _ { e } } = \frac { 1 } { H _ { p } } + \frac { 1 } { H _ { b } } .$ -The physical half-life of iron-59 is 45 days and its biological half-life is 600 days. Find the effective half-life of iron-59.

The population of the state of California in 1980 was about 23,237,000. In 2001, the population was about 34,501,000. What was the average growth rate over that period?

The population of a small town was 3000 at the beginning of 2007. Assuming an average growth rate of 0.8% per year, what will the population be at the beginning of 2015?

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 first term of the sequence is 211, what is the fourth term?

The population of Ontario in 1997 was about 11,249,500. In 2001, the population was about 11,874,400. What was the average growth rate over that period?

The population of a small town was 4200 at the beginning of 2002. Assuming an average growth rate of 0.2% per year, what will the population be at the beginning of 2020?

A population grows according to a logistic population model, with population parameter  = 1.8 and starting population fraction x = 0.34 for the first year. The value of x after the third year is:

Suppose the world demand for silver is about 343,750,000 troy ounces per year and the static reserve is 16. What are the known global reserves for silver?

For a logistic model, what kind of shape will you get if you graph the quantity $\left( P _ { n + 1 } - P _ { n } \right) / P _ { n }$ against $P _ { n }$ ?

A small change in initial conditions of a system can make an enormous difference later on. This is called:

A population grows according to a logistic growth model, with population parameter  = 2.4 and starting population fraction x = 0.35 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. The known global reserves are 1,800,000,000 pounds. What is the static reserve for cobalt?

The population of Laos in 1996 was about 5,200,000. In 2001, the population was about 5,952,520. What was the average growth rate over that period?

The population of Mexico in 1900 was about 18,000,000. In 2000, the population was about 100,000,000. What was the average growth rate over that period?

If $\ { H } _ { p }$ is much larger than $H _ { b }$ for a particular element, then $H _ { e }$ is approximately equal to:

What is the world demand for iron, if the known global reserves are 100,000,000,000 tons and the static reserve is 238?

Suppose the world demand for chromium is about 1,845,000 tons per year and the static reserve is 420. What are the known global reserves for chromium?