Solve the following set of problems. Show your work - ne points will be awarded without showing work (Note that these are three separate problems and are not related to each other.: 1. You invest $30,000 today and $4000 per year for 32 years. Assuming you earn an 8.7% rate of return, how much will you have at the end of the 32nd year? How much more do you have after 40 years? Of that additional money, how much came from your contributions and how much from investment income? 2. You want to borrow $30,000. For the loan to you must repay $1100 every quarter (4 times per year) for the next 8 years plus $8000 at the end of the 8 years. Based on this, what rate of interest are you paying? 3. Assume you currently have $220.000 that you are ready to invest for retirement. In addition, you plan to save $6.000 per year at the end of each year for years 1-10 . $25.000 at the end of year 11 . $9.000 per year at the end of each year for years 12-20 Assuming you carn 9.1% as an annual rate of return, how much will you have 20 years from today when you retire? 4. Today, you retire with $1,100,000 and you want to ensure that you can withdraw $1250 per week (52 weeks per year) and plan to earn a 4% rate of return. How many weeks will your original $1,100,000 last