Solve these following problems with accurate solutions:
36. MODELING DATA The table shows the populations (in millions) of five countries in 2018 and the projected populations (in millions) for 2030. (Source: U.S. Census Bureau) Country 2018 2030 Japan 126.2 120.8 Canada 35.9 38.6 Russia 142.1 138.2 Philippines 105.9 125.7 Turkey 81.3 86.7 (a) Find the exponential growth or decay model, y = debt or y = ae-bt for the population of each country, where z is the year, with t = 18 corresponding to 2018. Use the model to predict the population of each country in 2045. (b) You can see that the population of each country is changing at a different rate. What constant in the equation y = aed or y = ae-b is determined by these different rates? Discuss the relationship between the different rates and the magnitude of the constant.37. Demography The population P (in millions) of Colorado from 2010 through 2017 can be modeled by P = 4.324ek where i is the year, with f = 10 corresponding to 2010. In 2015, the population was 5,440,445. (Source: U.S. Census Bureau) (a) Find the value of & for the model. Round your result to four decimal places. (b) Use the model to predict the population in 2022.38. Demography The population P (in millions) of Puerto Rico from 2010 through 2017 can be modeled by P = 4.369e ", where r is the year, with ? = 10 corresponding to 2010. In 2015, the population was 3,473,177. (Source: U.S. Census Bureau) (a) Find the value of k for the model. Round your result to four decimal places. (b) Use your model to predict the population in 2022. an 14/L.. .... . . .Chemistry In Exercises 53-58, use the acidity model PH = -logo[H+], where acidity (pH) is a measure of the hydrogen ion concentration [H+] (in moles of hydrogen per liter) of a solution. 57. A glass of grape juice has a pH of 3.5, and a baking soda solution has a pH of 8.4. The hydrogen ion concentration of the glass of grape juice is how many times that of the baking soda solution