5) How much do you have to invest now at 6.5% interest compounding continuously to have $1,000,000 in 50 years? (7 points) 6) At birth a baby weighed 7 pounds and 10 ounces. Three months later the baby weighed 12 pounds and 12 ounces. What has been the percent gain in the baby's weight? (7 points) 7) The rule of 72 estimates the doubling time to be 72 : (100r) Find the exact doubling time and the estimated doubling time for the following question. What is the doubling time for $1,000 to double if it is placed in a bank and it is compounding monthly at 8 %? (10 points) 8) What amount should be deposited at the end of each month for 3 years in a savings account earning 4.9% compounding semiannually to accumulate $19,500 to buy a new car? (7 points) 9) A state has 10,000,000 worth of bonds that are due in 25 years. A sinking Fund is established to pay off the debt if the state can earn 15% annually on its money. Can you show that the deposit will be $46,994.02? (6 points) This table will show the sinking fund every 5 years. (Fill in the blanks) (12 points for graph) Years Accumulated Payments Interest Future Value of Payments 5 234.970.12 81,881.5 10 469.940.232 15 2.235,994.78 20 25 1,174,850.58 8.825,148.82 9.999,999.32