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3. Don won the "Cash for Life" lottery and will receive a $1000 per week for the next 25 years. How much must the lottery corporation invest today into an account that pays 4% compounded weekly to provide Don with the prize? An annuity pays $1200 per year for 15 years. The money is invested at 5.2% compounded annually. The first payment is made 1 year after the purchase of the annuity. Determine the interest earned by the annuity over the 15 years. 4. 5. Noah wants to buy a 5 year annuity. He has two options. . Option A pays $1000 at the end of each year, starting one year from now. It earns interest at 6.25% compounded annually. Option B pays $500 at the end of every six months, starting six months from now. It earns interest at 6.25% compounded semi-annually. . Which annuity should Noah choose? Write an explanation that includes calculations to support your