4. Based on your current production levels, you anticipate that a critical piece of machinery used in your manufacturing process will no longer be serviceable at the end of four years and that a new replacement will cost $200,000 at that time. If you can buy an investment that pays 6% interest, how much do you need to invest today to pay for the new piece of machinery in 4 years? Diagram the cash flows, solve both mathematically and using the compound interest tables; prove your solution is correct by taking your answer and working backwards, using your solution, construct a table that includes balances, and interest; and explain your solution. (10 pts) 5. You have $1,000 that you would like to invest. If you invested the entire amount today at 6% interest compounded annually, how much would your investment be worth in 3 years? Diagram the cash flows; solve both mathematically and using the compound interest tables, prove your solution is correct by taking your answer and working backwards; using your solution, construct a table that includes balances, and interest; and explain your solution. (10 pts)