8-One year from now, you deposit $300 in a savings account. You deposit $1,800 the next year. Then you wait two more years (until 4 years from now) and deposit $1,000. If your account always earns 6% annual interest and you make no withdrawals, how much will be in the account 11 years from now? 9-You deposit $5000 for 5 years at 4% annual interest. In 5 years, you add $15,000 to your account, but the rate on your account changes to 8% annual interest (for existing balance and new deposit). You leave the account untouched for an additional 10 years. How much do you accumulate? 10- You are interested in saving money for your first house. Your plan is to make regular deposits into a brokerage account which will earn 14 percent. Your first deposit of $5,000 will be made today. You also plan to make four additional deposits at the beginning of each of the next four years. Your plan is to increase your deposits by 10 percent a year. (That is, you plan to deposit $5,500 at t = 1, and $6,050 at t = 2, etc.) How much money will be in your account after five years? 11-You take out a $250,000 30 year mortgage with monthly payments and a rate of 10%, monthly compounded. What will your mortgage balance be after your first year of making your monthly payments? How much total interest you paid on this mortgage? 12-You deposit $3,000 per year at the end of each of the next 20 years into an account that pays 6% compounded annually. a) How much you will have accumulated at the end of the 20th year? b) How much could you withdraw at the end of each of the 15 years following your last deposit if all withdrawals are the same dollar amount? (The first withdrawal is made at the end of the first year in the 15-year period.)