Please do all 3 and include all calculations and cashflow diagrams. HAND WRITTEN WORK ONLY. DO NOT USE EXCEL!!!! Thank you

Question 2 (4 points): The chemical plant is planning to purchase in 6 years a $250K piece of equipment which will increase production. The plant currently has $25K for this project in the investment account. The plan is to deposit $30K in years 1 and 2 and grows this deposit by $2K each year from year 3 through year 6. (a) Determine the future worth of the investment account with interest rate of 4%. (b) Does the chemical plant have enough funds to purchase the equipment at year 7? Question 5 (2 points): With an interest rate of 1.5%, compounded quarterly, if you deposit $2,500 every semi-annual, how much will you have in 4 years? Question 6 (4 points) Income from the recycling paper and cardboard at Hamden recycling center has averaged $9,000 per quarter for 5 years. What is the future worth of the income at year 5 at an interest rate of 4%, compounded semiannually? a) Assume that interperiod cash flows earn prorated compound interest. b) Assume there is no interperiod compounding