Concept explainers
Tourism in the 1990s The following table gives the number of people (in thousands) who visited Australia and South Africa in 1998:6
To | Australia | South Africa |
From North America | 440 | 190 |
Europe | 950 | 950 |
Asia | 1,790 | 200 |
It was predicted that in 2008, 20,000 fewer people from North America would visit Australia and 40,000 more would visit South Africa, 50,000 more people from Europe would visit each of Australia and South Africa, and 100,000 more people from Asia would visit South Africa, but there would be no change in the number of people from Asia visiting Australia.
a. Represent the changes predicted in 2008 in the form of a matrix, and use matrix algebra to predict the number of visitors from the three regions to Australia and South Africa in 2008.
b. Take A to be the
Trending nowThis is a popular solution!
Chapter 5 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- How many different signals can be sent, when three flags are used, if two of the 9 flags are missing?arrow_forwardCholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forwardIn Example 5, after how many days are 250 students infected?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning