Investing You have $30, 000 to invest. You will invest M dollars in municipal bonds and T dollars in Treasury notes. For security, your financial advisor recommends that you invest twice as much Treasury notes as you invest in municipal bonds.
a. Write a system of equations that will determine how much to invest in each category. (Suggestion: One equation should show the total amount invested. The second equation should show that twice as much is invested in Treasury note as in municipal bonds.)
b. Solve the system of equation in part a to determine how much is invested in each category.
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Chapter 3 Solutions
Webassign Printed Access Card For Crauder/evans/noell's Functions And Change: A Modeling Approach To College Algebra, 6th Edition, Single-term
- Solve the system of equations {x+y=10xy=6 (a) by graphing and (b) by substitution. (c) Which method do you prefer? Why?arrow_forwardTranslate to a system of equations and then solve: Alexis wants to build a rectangular dog run in her yard adjacent to her neighbor’s fence. She will use 136 feet of fencing to completely enclose the rectangular dog run. The length of the dog run along the neighbor’s fence will be 16 feet less than twice the width. Find the length and width of the dog run.arrow_forwardSolve the system of equations {x+y=10xy=6 (a)by graphing. (b)by substitution. (c) Which method do you prefer? Why?arrow_forward
- Write an application problem similar to Example 4.14. Then translate to a system of equations and solve it.arrow_forwardTranslate to a system of equations and then solve: Jason paddled his canoe 24 miles upstream for 4 hours. It took him 3 hours to paddle back. Find the speed of the canoe in still water and the speed of the river current.arrow_forwardSolve the system of equations {3x+y=12x=y8 by substitution and explain all your steps in words.arrow_forward
- Write an application problem similar to Example5.37 using the ages of two of your friends or family members. Then translate to a system of equations and solve it.arrow_forwardUse the system of three equations in three variables to solve each problem. Work schedules A college student earns 198.50 per week working three part-time jobs. Half of his 30-hour work week is spent cooking hamburgers at a fast-food chain, earning 5.70 per hour. In addition, the student earns 6.30 per hour doing janitorial work. How many hours per week does the student work at each jobarrow_forwardTranslate to a system of equations and then solve: Jake’s dad is 6 more than 3 times Jake’s age. The sum of their ages is 42. Find their ages.arrow_forward
- Translate to a system of equations and then solve: Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only need to fence three sides. There are two long sides and the one shorter side is parallel to the house. He needs 155 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.arrow_forwardSolve the system by using substitution: {x2+9y2=9y=13x3.arrow_forward
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