Chapter 12 Business Applicati- × Y calculus homework problem? I × + ia https://w

Question

Chapter 12 Business Applicati- × Y calculus homework problem? I × + ia https://www.webassign.net/web/Student/Assignment-Respo 90% |QSearch 11. -4 points WaneFMACS 12.3.004. 0/10 Submissions Used My NotesA The following graph shows the approximate value of the U.S. Consumer Price Index (CPI) from September 2004 through November 2005. CPI Sep 2004-Nov 2005 202 200 198 196 194 192 190 188 0 246 8 10 1 14 Sep-04 Jan-05 Nov-05 The approximating curve shown on the figure is given by I(t)--0.005t3 + 0.128-0.01t + 190 (0 t 14), where t is time in months (t-O represents September 2004) (a) Use the model to estimate the monthly inflation rate ln February 2005 (t = 5). [Recall that the Inflation rate ls I'(t)/1(t).] (Round your answer to three decimal places.) (b) Was inflation slowing or speeding up in February 2005? slowing down O speeding up (c) When was inflation speeding up? When was inflation slowing? HINT [See Example 3.] (Use the model to determine this.) Inflation was speeding up prior to Select 2005 and slowing after Select2005 Need Help?Read lt Talk to a Tutor 4.57 PM lype here to search 11/28/2017

Explanation / Answer

a. The inflation rate at t=5 is 1.25%

b. It was speeding up as we can see an increasing trend

c. Inflation was speeding up prior to Nov-04 and slowing after May-05 which can be observed in the above table.

Month t It Inflation Inflation growth Sep-04 0 190 0.00% Oct-04 1 190.115 0.06% 0.061% Nov-04 2 190.44 0.23% 0.171% Dec-04 3 190.945 0.50% 0.265% Jan-05 4 191.6 0.84% 0.343% Feb-05 5 192.375 1.25% 0.404% Mar-05 6 193.24 1.71% 0.450% Apr-05 7 194.165 2.19% 0.479% May-05 8 195.12 2.69% 0.492% Jun-05 9 196.075 3.20% 0.489% Jul-05 10 197 3.68% 0.472% Aug-05 11 197.865 4.14% 0.439% Sep-05 12 198.64 4.55% 0.392% Oct-05 13 199.295 4.89% 0.330% Nov-05 14 199.8 5.16% 0.253%

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