Charlie has $12,000 to invest for a period of 5 years. The following three alternatives are available to him: Account 1 pays 4.00% for year 1, 5.00% for year 2, 8.00% for year 3, 9.00% for year 4, and 12.00% for year 5, all with annual compounding. • Account 2 pays 12.00% for year 1, 9.00% for year 2, 8.00% for year 3,5.00% for year 4, and 4.00% for year 5, all with annual compounding. • Account 3 pays interest at the rate of 7.56183 % per year for all 5 years. Based on the available balance at the end of year 5, which alternative is Charlie's best choice? Year 5 Balance, Alternative 1: $ Year 5 Balance, Alternative 2: $ Year 5 Balance, Alternative 3: $ Carry all interim calculations to 5 decimal places and then round your final answer to the nearest dollar. The tolerance is £5.

During the past eight years, the demand for Titleist Pro V1 golf balls has increased from 400 units per day to 560 units per day at a local pro shop. What was the average annual compound growth rate over this period? Assume continuous compounding and show your work.

An award is being established, and it will pay $9,200 every four years, with the first installment being paid in four years. The award will be given for an indefinitely long period of time. If the interest rate is 4% per annum, what lump-sum amount of money (invested now) will be required to endow this award forever? Click the icon to view the interest and annuity table for discrete compounding when the MARR is 4% per year. The lump-sum amount of money required to endow this award forever is $ .(Round to the nearest dollar.)

A company contributes $180 per month into a retirement fund paying 4.30% compounded monthly and employees are permitted to invest up to $2,400 per year into another retirement fund which pays 4.30% compounded annually. How large can the combined retirement fund be worth in 26 years?