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The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

Read the scenario. alfonso is 19 years old and has a high school diploma. recently, he was promoted to assistant manager at the fast-food restaurant where he has worked since the age of sixteen. his dream is to become the restaurant’s manager. what is his best option for achieving his dream? he should find another job and work his way up to a higher position. he should hope that his manager transfers to another location and that he is his replacement. he should attend classes at the local college to receive training in management. he should work hard, work longer hours, and remain assistant manager.

A$100 million interest rate swap has a remaining life of 10 months. under the terms of the swap, the six-month libor is exchanged semi-annually for 12% per annum. the six-month libor rate in swaps of all maturities is currently 10% per annum with continuous compounding. the six-month libor rate was 9.6% per annum two months ago. what is the current value of the swap to the party paying floating? what is its value to the party paying fixed?