6-40. (Future value of an annuity) Let's say you deposited $160,000 in a 529 plan (a tax advantaged college savings plan) hoping to have $420,000 available 12 years later when your first child starts college. However, you didn't invest very well, and two years later the account's balance dropped to $140,000. Let's look at what you need to do to get the college savings plan back on track. a. What was the original annual rate of return needed to reach your goal when you started the fund two years ago? b. With only $140,000 in the fund and 10 years remaining until your first child starts college, what annual rate of return would the fund have to make to reach your $420,000 goal if you add nothing to the account? c. Shocked by your experience of the past two years, you feel the college fund has invested too much in stocks, and you want a low risk fund in order to ensure you have the necessary $420,000 in 10 years. You are willing to make end of month deposits to the fund well. If you found a fund that promises 6 per cent which is compounded monthly, and you transfer $140,000, how much you need to deposit on a monthly basis to reach your $420,000 ? Find the domain and the range of the following functions 1. f(x)=3x2+2 2. f(x)=1x1 3. f(x)=x+2