solve all questions with steps please

Question 1:(0.5 points) Construct a cash flow diagram to find the present worth in year of a $400 expenditure in year 3, a $900 receipt in year 4, and $100 expenses in each of years 5 and 6 at an interest rate of 15% per year. Question 2: (0.5 points) A company that manufactures general-purpose transducers invested $2 million 4 years ago in high-yield junk bonds. If the bonds are now worth $2.8 million, what rate of return per year did the company make on the basis of (a) simple interest, and (b) compound interest? Question 3:(0.5 points) How much money should a bank be willing to loan a real estate developer who will repay the loan by selling seven lakefront lots at $120,000 each 2 years from now? Assume the bank's interest rate is 10% per year. Question 4: (0.5 points) Labco Scientific sells high-purity chemicals to universities, research laboratories, and pharmaceutical companies. The company wants to invest in new equipment that will reduce shipping costs by better matching the size of the completed products with the size of the shipping container. The new equipment is estimated to cost $450,000 to purchase and install. How much must Labco save each year for 3 years in order to justify the investment at an interest rate of 10% per year? Question 5: (0.5 points) Determine the numerical value of the following factors using (a) linear interpolation, (b) the formula. 1. (P/F,8.4%,15) 2. (A/F,17%,10) Question 6: (0.5 points) A low-cost noncontact temperature measuring tool may be able to identify railroad car wheels that are in need of repair long before a costly structural failure occurs. If the BNF railroad saves $100,000 in year 1, $110,000 in year 2, and amounts increasing by $10,000 each year for 5 years, what is the future worth of the savings in year 5 at an interest rate of 10% per year? Question 7: (0.5 points) Assume you were asked to prepare a table of compound interest factor values (like those in the back of this book) used in calculating the present worth of a geometric gradient series. Determine the two values for n = 1 and 2 for an interest rate of 10% per year and a rate of change g of 5% per year. Question 8: (0.5 points) An A&E firm planning for a future expansion deposited $40,000 each year for 5 years into a sinking (investment) fund that was to pay an unknown rate of return. If the account had a total of $451,000 immediately after the fifth deposit, what rate of return did the company make on these deposits