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The average surcharge for non-account holders who use an ATM can be modeled as f(x) = 0.004x³0.061x² + 0.299x +0.899 dollars where x is the number of years since 1998, data between 1998 and 2007. (a) Write the derivative model for f. f(x)=0.012x²-0.122x + 0.299 (b) Estimate the transaction fee in 2014. (Round your answer to two decimal places.) $ (c) Estimate the rate of change of the ATM fee in 2012. (Round your answer to three decimal p per year Need Help? Read It
The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Year 2003 2004 2005 2006 2007 2008 Sales (million iPods) 2.32 5.536 27.333 68.642 118.972 175.9 (a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of years after 2003, w $(x) = million iPods (b) Write the derivative for the sales model. (Round all numerical values to three decimal places.) million iPods per year (c) Calculate the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.) million iPods per year Interpret the rate of change of cumulative sales in 2005. (Round your answer to three decimal places.) In 2005, cumulative iPod sales were-Select- by million per year.