The differential equation below models the temperature of an 89°C cup of coffee in a 23°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 73°C. Solve the differential equation to find an expression for the temperature of the coffee at time t. (Let y be the temperature of the cup of coffee in °C, and let t be the time in minutes, with t = 0 corresponding to the time when the temperature was 89°C.)

Answer the following questions with true or false and provide a brief explanation (2- 3 sentences) a) economies of scale in production give rise to multi-product firms. b) ace hardware corporation is an example of economies of scale in production.

Your grandmother told you a dollar doesn't go as far as it used to. she says the purchasing power of a dollar is much lesser than it used to be. explain what she means. try and use and explain terms like inflation and deflation in your answer.

Stock a has a beta of 1.2 and a standard deviation of 20%. stock b has a beta of 0.8 and a standard deviation of 25%. portfolio p has $200,000 consisting of $100,000 invested in stock a and $100,000 in stock b. which of the following statements is correct? (assume that the stocks are in equilibrium.) (a) stock b has a higher required rate of return than stock a. (b) portfolio p has a standard deviation of 22.5%. (c) portfolio p has a beta equal to 1.0. (d) more information is needed to determine the portfolio's beta. (e) stock a's returns are less highly correlated with the returns on most other stocks than are b's returns.