Betty and Bob invest in separate accounts at the same time. Unfortunately Bobs account decreases in value at a continuous rate per annum of magnitude 3%. Fortunately Bettys account increases in value at a rate of 16% per annum compounded quarterly. If Betty initially invests 35% less than Bob then algebraically find how much time it will take for their accounts to be of equal value. Your answer should be stated in years and be accurate to 2 places after the decimal point.