12. Two sisters, Bethany and Dana, decide to invest for their retirement. They both expect to retire in 40 years. The following graph shows their investment. a) Describe the rates of change for each person using words like increasing, constant, or zero rate of change. (4 marks) b) The following phrases can be used to describe the sisters investments. Use all of the phrases by placing the phrase under the correct sister's name in the following table. Use each phrase only once to describe the sisters' investment. Include reasons for matching the phrase to that sister. (4 marks) - Had $2500 to invest. - Invested at 8% compound interest. - Invested at 8% simple interest. - After 20 years the investment improved to 11\% simple interest. - Stored her money under the mattress for two years, then invested it. - Had $5000 to invest. Task 4: Thinking (25 marks) Show all work for each question. 13. The company you work for has downsized and you have lost your job. You receive a severance package of $65000 and decide to invest it for retirement, earning an average of 7% per year. It has been suggested that you should be able to retire comfortably with $500000 in savings. If your investment can be modelled with the equation y=65000(1.07)x how many years will pass before you reach $500000