# MATH

**iabepdadm**

Go to https://www.cia.gov/library/publications/the-world-factbook/geos/xx.html, choose a country, and find the following rates: Birth, Death, and Net Immigration for the most current year. Use the rates and the current population to find the number of each category expected for that year - use ratio tables and be sure to attach them to your answer.

Q.1. From the Course Materials, click the link to The World Factbook on the CIA website to find the current population and growth rate for a country of your choice. Use the population growth model below to predict the population of the country 1 year from now, 10 years from now,100 years from now, and 1000 years from now. Are all of these predictions appropriate? Why?

Use the model P(t) = P0(1+r)t where

P0 = current population

r = the population growth rate

t = time in years from now

P(t) = population t years from now

Q.2. Above, you predicted the population 10 years from now for the country you chose. Now calculate another projection of the population for 10 years from now and add 1% to the growth rate. What is the percent increase in the new prediction over the old? What do your findings signify?

Q.3. Watch the TED Ed Lesson “How folding paper can get you to the moon”. Just to get a feel for exponential growth. Next explain which of the following offers you would take and why.

Options. You are hired to work for 30 days and you get to choose from one of the following two options. Write equations for how much you have earned by the nth day.

1) You get $1000 on your first day, $2000 on your second day… So on the nth day you earn n x $1000.

2) You get $0.01 (1 penny on the first day) and each day afterwards the amount in your account doubles. So on day 2 you have $0.02, etc.

Which option do you take? If you take option (2) on which day does that option become more profitable than option (1)?

- a month ago
- 8

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