please show all formulas and calculations, thanks!

For each of the following, compute the future value: For each of the following, compute the present value: Solve for the unknown interest rate in each of the following: Solve for the unknown number of years in each of the following: McNutt Co. has identified an investment project with the following cash flows. If the discount rate is 9 percent, what is the present value of these cash flows? What is the present value at 16 percent? At 21 percent? 6. An investment offers $3,500 per year for 12 years, with the first payment occurring one year from now. If the required return is 5.15 percent, what is the value of the investment? What would the value be if the payments occurred for 40 years? For 75 years? Forever? 7. If you put up $450,000 today in exchange for a 5.375 percent, 20-year annuity, what will the annual cash flow be? 8. Calculating EAR [L04] Find the EAR in each of the following cases: 9. You would like to start saving for your retirement and are trying to figure out how much to save. You estimate that you will need $450,000 per year for the 35 years you'll be retired. In addition, you'd like to have an additional $80.000 in your fifth year of retirement to buy a boat. Assume that you plan to save an equal amount of money every year, starting next year for the 40 years you will be working (save in years 1-40, withdraw in years 41 -75, buy boat in year 46) How much do you need to save each year if the interest rate is 7% ? 10. After deciding to buy a new car, you can either lease the car or purchase it on a three-year loan. The car you wish to buy costs $43,000. The dealer has a special leasing arrangement where you pay $4,300 today and $505 per month for the next three years. If you purchase the car, you will pay it off in monthly payments over the next three years at an APR of 6 percent. You believe you will be able to sell the car for $28,000 in three years. Should you buy or lease the car? What break-even resale price in three years would make you indifferent between buying and leasing