la) Find the present and future value of an income stream of $7000 per year for a period of 10 years if the interest rate, compounded continuously, is 4%. Round your answers to two decimal places. Presentvalue = $ n I Future value = $ l I lb) How much of the future value is from the income stream? How much is from interest? Round your answers to two decimal places. The amount from the income stream is $ . The amount from the interest is $ n I . (a) An investment account earns 10 % interest compounded continuously. At what (constant, continuous) rate must a parent deposit money into such an account in order to save $100,000 in 8 years for a child's college expenses? Give the result in dollars per year. Round your answer to the nearest dollar. per year e Textbook and Media (b) If the parent decides instead to deposit a lump sum now in order to attain the goal of $100,000 in 8 years, how much must be deposited now? Round your answer to two decimal places. e Textbook and MediaSales of Version 6.0 of a computer software package start out high and decrease exponentially. At time t, in years, the sales are s(t) = 50,000e't dollars per year. After two years, Version 7.0 of the software is released and replaces Version 6.0. You can invest earnings at an interest rate of 5.7%, compounded continuously. Calculate the total value of sales of Version 6.0 over the two-year period. Round your answer to the nearest integer. The total value of the sales is $ a Your company is considering buying new production machinery that costs $140,000 and earns prot at the continuous rate of $90,000 per year. The interest rate is 9.0% per year compounded continuously. How long does it take for the machinery to pay for itself? [Hint: It pays for itself when the present value of the prot generated equals the cost] Round your answer to two decimal places. a years