11-You have contracted to buy a house for $250,000, paying $30,000 down and taking out a fully amortizing loan for the balance, at a 5.7 % annual rate for 30 years. What will your monthly payment be if they make equal monthly installments over the next 30 years (to the nearest dollar)? 12-Cindy wants $2.5 million for her retirement at age 65. Cindy is 25 years old today and plans to deposit equal amounts each year starting on her 26th birthday and ending on her 65th birthday. If her investments earn 6 % per year , how much must each deposit be? 13-An investment is expected to yield $300 in three years, $500 in five years, and $300 in seven years. What is the present value of this investment if our opportunity rate is 5%? 14- 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? 15-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