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Please help me with these assignment! Thank you! 1) The population of a particular city is increasing at a rate proportional to its size. It
Please help me with these assignment! Thank you!
1) The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = l + QOJZt where k is a constant and t is the time in years. If the current population is 18,000, in how many years is the population expected to be 45,000? Round to the nearest tenth of a year. (Hint: Use the current population with t = 0 to solve for the initial population, k, rst. Use this value for k to solve for the time, t, it would take to grow the population to 45,000, given the 12% growth rate.) 2) The population of country A in millions is modeled by f(x) = 17.56 0.0019x. During the same time period, the population of country B in millions is modeled by g(x) = 13.5e 0.0107x. In both formulas x is the number of years. Assuming these trends continue, estimate what the population will be when the populations are equal. Round to the nearest tenth of a million. Hint: Set the population models equal to each other. Then manipulate the equation to solve for x, the time (in years) at which the two populations will be equal. There are three or four ways to do this! Use the value obtained for x to calculate the population at the point they are equalStep by Step Solution
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