1. Consider a 100L tank containing 50L of salt water with a concentration of 1kg/L. Suppose that each second, 3L of pure water flows into the tank and 2L of the mixture flows out of the tank. The tank is kept well mixed at all times. (a) Write an IVP that governs the salt content in the tank. Make sure to explain your equation. (b) Solve the IVP from part (a).

Solve the initial value problem by the linear or separable method

Show all step by step solution. Find P(6) and P(5) for a binomial experiment. Explain your work.

The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is  = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the y-intercept (a) estimated in the linear prediction equation provided above (= 22-1.3x)?  Also, interpret the y-intercept.   y-intercept:     Interpretation of y-intercept: