Concept explainers
Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year:
a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now.
b. Seven years from now, what will the oil reserves be?
c. If the rate at which the reserves are decreasing is constant, when will the world’s oil reserves be depleted?
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
College Algebra By Openstax
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Pre-Algebra Student Edition
Basic Business Statistics, Student Value Edition
Algebra and Trigonometry (6th Edition)
Thinking Mathematically (6th Edition)
College Algebra with Modeling & Visualization (5th Edition)
- Plot each point given its polar coordinates. Then, give another pair of polar coordinates for the same point with the opposite radius and angle 0 ≤ 0 < 2π (or 0 ≤ 0 < 360°). (-6, 120°)arrow_forwardFind two additional polar representations of the given point such that one has the same sign as r but the opposite sign of 0, and the other has the opposite sign of r but the same sign as 0. 3, - π 6arrow_forwarde consider the problem -((1+x)))= 0 XE U(0) = 0, 'U(1)=\@Sind the analytical sol and he Find the Variational form and find Matrix A and b? consider the Variational form a (u,v)-(SV) where acu,v) = vdx prove that YVE H. (0,1),i=1, 2, \\-\ a(vi)=-v(x-1)+2V(xi)-(X;+1)] Where Vn is usual basis of hat functions. Consider the Problem Au=f and u= du=0 0 a with bilinear formalu,v) = SAU. AV r Prove that alu, v). V-ellPitic. and aluv) is continuous..arrow_forward
- The resistance, R, of a conductor is directly proportional to its length, 7. If the resistance. of 3.80 km of a certain transmission line is 121 ohms, find the resistance of 74.9 km of that line. Round your answer to 3 significant digits. Ωarrow_forwardThe number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. Find the constant of proportionality k to 2 decimal places if 455 workers work 6 hours and can produce 11493.3 widgets. k = How many widgets (to the nearest tenth) can be produced by 490 workers in 37 hours? Widgets =arrow_forward### Based on the figure below, find an equation in which you can determine x as a function of only z, y, a, and barrow_forward
- Z x ·b-arrow_forwardNo A.i Solve pleasearrow_forwardSketch the graph of a function y − f(2) such that all of the following statements are true: - • lim_ f(x) — −2 1+0+ lim f(x)-1 1+0 • f(0) - -1 ⚫lim f(x) - co 2 lim f(x) - 1+2+ --∞ H NW 2 3 6 5 4 -6 - 5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5 -6 20 5 6 7arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University