Exam 4: Systems of Linear Equations

You just inherited $15000. You are willing to invest up to the entire amount. The plan is to invest some of it in a bond fund that yields 5% per year and the rest of the invested amount in a stock fund that yields 8% per year. You want at least $900 in investment income per year. Let b be the amount you invest in the bond fund and let s be the amount that you invest in the stock fund. Is in the solution set of this system of inequalities?

Determine whether the given point is in the solution set of the system of inequalities graphed below.

Write the linear inequality for the given graph.

Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent.

Use the table of values to solve the system.

You have two part-time jobs: in the library paying $7 per hour and at the student radio station paying $9 per hour. You want to earn at least $175 per week. In addition you can only work at most 25 hours per week. Let b be the hours you work in the library each week and let r be the hours that you work at the radio station each week. Is in the solution set of this system of inequalities?

If $18000 is invested at an interest rate of 4.5% compounded continuously what is the amount of the investment after 10 years? Rounded to the nearest hundredth.

Is the point in the solution set of ?

Find the inverse of .

Graph the solution set for the system of inequalities.

Solve the system using the elimination method.

You bought supplies for the semester at two different shopping trips. The first trip you bought 3 notebooks and 5 pencils for a total of $7.25. The second trip you bought 5 notebooks and 3 pencils for a total of $10.75. How much does each notebook and pencil cost individually?

Test to determine whether the given point is in the solution set of the system of inequalities.

Your business baking birthday cakes has the following weekly revenue and cost equations. where R represents the weekly revenue in dollars C represents the weekly cost in dollars and k cakes are baked and sold. Use the method of substitution to find the break-even point.

The graph below shows the solution set to an inequality. Is the point in the solution set?

Solve the system of equations using the substitution method.

Using the graph below determine which one of the following exponential functions models the graph.

Is the point in the solution set of ?

The sum of two numbers is 15 and the difference of the two numbers is 7. Find the two numbers.

For the system is a solution to the system?