MAT 543  Week 3 Homework

Chapter 3: Exercise 3-3 (page 61 of the text)

Chapter 4: Exercise 4-1 through 4-4 (page 72 of the text)

3-3 Using the following narrative, create a general system flow chart. When a patient arrives at the clinic the patient first sees the receptionist, who checks to see if the patient was seen before. If so, the receptionist pulls the medical record from the file. If the patient is new, the receptionist has the patient complete the necessary forms and creates a medical record. Patients are seen by the physician in the order they arrive. If one of the two examination rooms is empty, the nurse escorts the patient to the examination room and records the complaint. The nurse performs routine tests. The nurse writes the complaint and findings on a medical examination form, a form that will be subsequently filed with the patient’s medical record. The physician examines the patient and orders medical tests, if necessary. A diagnosis and treatment plan is presented to the patient by the physician; a written copy of this plan and any other appropriate instructions. [Notes are written on the medical examination form.] When the physician releases the patient, the patient returns to the receptionist, who prepares a bill. If the patient has health insurance, the bill is sent to the health insurance carrier. The patient leaves after either paying the bill (by cash, check, or credit card) or signing the forms to authorize payment by his or her health insurance company. If the health insurance company refuses to pay or partially pays the bill, the receptionist bills the patient by mail. Any patient with an unpaid bill or bad credit history is refused subsequent treatment until the old bill is paid.

4-1 You decide to invest $100,000 in a program that is guaranteed to grow by 2.5% for each of the next 5 years. At the end of the 5 years, how much is your investment worth?

4-2 What is the effective annual rate of an investment that pays 6% for 5 years, compounded semiannually?

4-3 What is the present value of a single cash flow of $25,000 received at the end of 10 years, if we assume a discount rate of 5% annually? With a discount rate of 7%?

4-4 Suppose you deposit $100 in a savings account that compounds annually at 2%. After 1 year at this rate, the bank changes its rate of compounding to 1.5% annually. Assuming the compounding rate does not change for 4 additional years, how much will your account be worth at the end of the 5-year period?