3. A sum of money is invested for five years in a CD paying an APY of 4.41%. At the end of the five years, you get a check for $9566.76. How much was the original principal? 4. How long does it take for an investment at 7.05% APR to double in value if it is compounded: a) Annually? b) Monthly? 5. In a two-year period a company's shares go up by 2.39% the first year and 17.61% the next. a) Find the average annual percent increase in the value of the shares over the two-year period (rounded to three decimal places). b) If the company's shares then increase 40.09% in the third year, what is the average annual percent increase in the value of the shares over the three-year period (rounded to three decimal places)? 6. A South Hill family has a household income of $76,500 per year (which is about the median household income in South Hill) and manages to save $700 per month (about 11 % of their annual income). A South Tacoma family has a household income of $44,000 per year (which is about the median household income in South Tacoma) and manages to save $200 per month (about 5.5 % of their annual income-half the savings rate of the South Hill family). Each family invests their respective amount monthly in a mutual fund that ends up making the equivalent of a monthly annuity earning 10.5% compounded monthly. a) What is the value of each mutual fund account in 30 years? b) How much total money will have been put into each account? c) How much is the net profit in each account