Concept explainers
Rental income A woman has $500,000 invested in two rental properties. One yields an annual return of 10% on her investment, and the other returns 12% per year on her investment. Her total annual return from the two investments is $53,000. Let
Write an equation that states that the sum of the investments is $500,000.
What is the annual return on the 10% investment?
What is the annual return on the 12% investment?
Write an equation that states that the sum of the annual returns is $53,000.
Solve these two equations simultaneously to find how much is invested in each property.
Trending nowThis is a popular solution!
Chapter 1 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
- Dogs Human Age From the data printed in the following table from the Minneapolis Star Tribune on September 20, 1998, a dogs age when compared to a humans age can be modeled using either a linear formula or a quadratic formula as follows: y1=4.13x+14.63 y2=-0.033x2+4.647x+13.347, where y1 and y2 represent a dogs human age for each formula and x represents the dogs actual age. Source: Mathematics Teacher. Dog Age Human Age 1 16 2 24 3 28 5 36 7 44 9 52 11 60 13 68 15 76 a. Find y1 and y2 when x=5. b. Find dy1/dx and dy2/dx when x=5 and interpret your answers. c. If the first two points are eliminated from the table, find the equation of a line that perfectly fits the reduced set of data. Interpret your findings. d. Of the three formulas, which do you prefer?arrow_forwardGraph the equation x=2 .arrow_forwardCholesterol. The age, x, and LDL cholesterol level, y, of two men are given by the points (18,69) and (27,122) . Find a linear equation that models the relationship between age and LDL cholesterol level.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University