rhonda started a business. her business made $30,000 in profits the first year. her annual profits have
increased by an average of 5% each year since then.
(a) write an iterative rule to model the sequence formed by the profits of rhonda’s business each year.
(b) use the rule to determine what the annual profits of rhonda’s business can be predicted to be 15
years from the start of her business. round your answer to the nearest dollar. do not round until the
end. show your work.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.