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The formula for continuously compounded interest on a principal investment Pat a given interest rate rover time tin years is given by A = Pe'". You have deposited $12,000 in an account that pays 4.15% interest, compounded continuously. How long will it take for your initial investment to grow six times its original worth? Describe what method you used to solve the problem, and why. Round your answer to the nearest tenth. The length of time, t (in days), for 25 animals of a particular variety to grow to a population, p, is given by the function: (5) 012 4p)= To the nearest tenth, what will the population of animals be after 48 hours? A local government charges taxes according to the income schedule below. Income up to $30,000{Between $30,000 [Between $50,000 [$100,000 or more and $50,000 and $100,000 How much would a taxpayer owe the government if she earns $80,000 per year? O $19,200 O $20,980 O s21,99 ( $18500 A worker earns $10.00 per hour for the first 40 hours worked during the week. The worker earns $18.80 for every overtime hour worked after that up to the maximum of 80 hours worked. What is a piecewise function that represents the worker's total wages earned? O 10.00x OS x $40 f ( x ) = 18.80x-352 40 + 1 = x - 1 graphically. Your answer must include: A hand-drawn or calculator-created image of the graph with the equations f(x) and g(x) identified, along with labeled axes and any point(s) of intersection A statement listing the solution(s) to the equation Your work verifying that the solution(s) create a true statement In the original equation