1- Sara bought 100 shares of her dad's favorite stock for $25 per share exactly 1 year ago, commission free. She sold it today for a total amount of $2865. She plans to invest the entire amount in a different corporation's stock today, but must now pay a $50 commission fee. If she plans to sell this new stock exactly 1 year from now and realize the same return as she has just made, what must be the total amount she receives next year? Include the commission fee as a part of the purchase price, but neglect any tax effects. 2- Construct a cash flow diagram that represents the amount of money that will be accumulated in 7 years from an initial investment of $20,000 now and $3,500 per year for 8 years at an interest rate of 8% per year. 3- A company that makes Ethernet adapters is planning to expand its production facility at a cost of $1,000,000 one year from now. However, a contractor who needs work has offered to do the job for $800,000 provided the company will do the expansion now instead of 1 year from now. If the interest rate is 10% per year, how much of a discount is the company receiving? 4-(a) At a simple interest rate of 11% per year, determine how long it will take $5000 to increase to twice as much. (b) Compare the time it will take to double if the rate is 20% per year simple interest 5- A company is considering purchasing a new flotation system for grease recovery. The company can finance a $200,000 system at 5% per year compound interest or 5.5% per year simple interest. If the total amount owed is due in a single payment at the end of 3 years, (a) which interest rate should the company select, and (b) how much is the difference in interest between the two schemes