60 PTS ! Madame Dumas has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $450,000. Two years ago, the value of the collection was $810,000 and last year, the collection was valued at $1,458,000.Assume that the rate at which Madame Dumas’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence. Show all Work!
A) Write anexplicit rule which can be used to determine the value of her art collection n years after that.

B) Use this rule to determine the value of her collection 12 years after she started tracking its worthrounded to the nearest dollar.

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10