Take-Home Portion of Exam IV

Take-Home Portion of Exam IV

1-6 Compute the exact solution of each equation. No calculator is required for these six equations. You must show your (non-calculator) solution method completely.

7-8 Approximate the solution to each equation. A calculator will be necessary for the approximations. State your answers accurate to four places to the right of the decimal.

9. Compute the value of an investment of $10,000 invested at 5% annual interest compounded monthly if the money is invested for six years.

10. How many years would it take for an initial investment of $10,000 invested at 4.5% annual interest compounded quarterly to be worth $20,461.90?

11. What is the present value of $10,000 that you would receive in four years if we assume a 5% annual interest rate compounded monthly?

12. The rate of increase of the population of a certain country is proportional to its population. Thus if P represents its population, P₀ represents its population at time t = 0 (t given in years since 1960), and r represents the yearly rate of increase in the population, then

The population of the country was 100 million in 1960 and 200 million in 2000. Find the rate of yearly increase, r (approximate accurate to 5 places to the right of the decimal), and predict the population of the country in the year 2040 to the nearest million.

13-16. Solve each system of equations exactly or show that the system has no solution.

17. Solve the system of inequalities and graph the solution set.

18. Approximate the solution to the following system of equations. Express your solution accurate to four places to the right of the decimal.

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Lane Vosbury, Math Chair, Seminole Community College email: vosburyl@scc-fl.edu