I Problem 8. You take out a $3000 simple interest loan to start a small business at an annual rate of 7% for 4 months. Please determine how much interest have you accumulated. Please determine how much money do you owe after 4 months. (Compute the whole answer by hand.) Problem 9. Please determine how much money should be deposited today in an account that earns 8.4% compounded monthly so that it will accumulate to $16,000 in seven years. (set up problem so that the missing variable is solved for, but do not compute!) Problem 10. Please find the accumulated value of an investment of $7,000 for 20 years at an annual interest rate of 7.3% if the money is compounded continuously. (set up the problem but do not compute!) Problem 11. Suppose that at age 16, you decide to save for retirement by depositing $100 at the end of each month in an IRA (type of annuity) that pays 7.5% compounded monthly. Please determine how much will you have from the IRA when you retire at age 65. (set up the problem but do not compute!) Problem 12. The price of a home is $180,000. The bank requires a 15% down payment The buyer chooses a 15-year fixed mortgage at 10% (mortgages are paid/compounded monthly). Please set up the formula that would calculate the amount each monthly mortgage payment is. (Set up but do not compute!) Hint: You will need to first find the down payment!!! Problem 32. Suppose 70. and x are supplementary angles. Please determine x. Problem 33. Please use binomial theorem to expand (2x - y)". Hint: Pascal's triangle may help out quite a bit