
Concept explainers
In Exercises 133-134, you will develop geometric sequences that model the population growth for California and Texas, the two most populated U.S. states.
The table shows the population of California for 2000 and 2010, with estimates given by the U.S. Census Bureau for 2001 through 2009.
Year | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | |||||
Population in millions | 33.87 | 34.21 | 34.55 | 34.90 | 35.25 | 35.60 | |||||
Year | 2006 | 2007 | 2008 | 2009 | 2010 | ||||||
Population in millions | 36.00 | 36.36 | 36.72 | 37.09 | 37.25 |
a. Divide the population for each year by the population in the preceding year. Round to two decimal places and show that California has a population increase that is approximately geometric.
b. Write the general term of the geometric sequence modeling California's population, in millions, n years after 1999.
c. Use your model from part (b) to project California's population, in millions, for the year 2020. Round to two decimal places.

Want to see the full answer?
Check out a sample textbook solution
Chapter 5 Solutions
Thinking Mathematically (6th Edition)
- Calibri BIUAAAA ויו Text in Italian is not being checked. Do you want to add it as a proofing language? Task 12 Fig 1 75 75 75 Fig 2 Fig 3j Add Figures 1 to 3 each shows a top view and a front view of models. Make use of the lineated paper for isometric projection and take each block on the paper as being 10mm x 10mm. Use the indicated sizes and draw an isometric view of each of the three models Samsung Galaxy A04earrow_forwarda) show that the empty set and sigletonset are convex set. 6) show that every sub space of linear space X is convex but the convers heed not be true. c) let Mand N be two convex set of a linear Space X and KEF Show that MUN is conevex and (ii) M-N is convex or hot A and is MSN or NSM show that MUN convex or not, 385arrow_forwardxp x+xarrow_forward
- For the given graph, determine the following. -3 12 УА 4 3 - -1 ° 1 2 3 x -1. -2- a. Determine for which values of a the lim f (x) exists but f is not continuous at x = a. a b. Determine for which values of a the function is continuous but not differentiable at x = a. aarrow_forwardI write with prove one-to-one linear Sanction but not onto Lexample.) b) write with Prove on to linear function but not oh-to-on (example). c) write with prove example x=y St Xandy two linear space over Sielad F.arrow_forwardUse the following graph of ƒ (x) to evaluate ƒ' (−1) and ƒ' (2). y +10+ 9 8 7 6 5 4 3 2 1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 x 3 4 0 8 9 10 -2 3 -4 5 -6 -7 -8 -9 -10- f'(-1)= f' (2)arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning




