Explain, the following questions.

3. At time 0, deposits of 10,000 are made into each of Fund X and Fund Y. Fund X accumulates at an annual effective interest rate of 5%. Fund Y accumulates at a simple interest rate of 8%. At time t, the forces of interest on the two funds are equal. At time t, the accumulated value of Fund Y is greater than the accumulated value of Fund X by Z. Determine Z. 4. (i) At time t =0, Donald puts 1,000 into a fund crediting interest at a nominal rate of i compounded semiannually. (ii) At time t = 2, Lewis puts 1,000 into a different fund crediting interest at a force of = , for all t. way he gummed add do Y (61) (iii) At time t = 16, the amounts in each fund will be equal. Calculate i. 5. Carl puts 10,000 into a bank account that pays an annual effective interest rate of 4% for ten years. If a withdrawal is made during the first five and one-half years, a penalty of 5% of the withdrawal amount is made. Carl withdraws K at the end of each of years 4.5.6, and 7. The balance in the account at the end of year 10 is 10,000. Calculate K.The following graph input tool shows the daily demand for hotel rooms at the Big Winner Hotel and Casino in Las Vegas, Nevada. To help the hotel management better understand the market, an economist identified three primary factors that affect the demand for rooms each night. These demand factors, along with the values corresponding to the initial demand curve, are shown in the following table and alongside the graph input tool. Demand Factor Initial Value Average American household income $50,000 per year Roundtrip airfare from San Francisco (SFO) to Las Vegas (LAS) $200 per roundtrip Room rate at the Lucky Hotel and Casino, which is near the Big Winner $250 per night1. Suppose that the representative firm owns its capital stock (K), hires labor (N), and produces output (Y) according to Y, = A,KPN, " where A, is productivity and 0