You need to earn 6% annul real rate of return and, in addition, you need to keep up with the annual inflation rate. Exactly 4 years ago, the expected inflation rate was 2% per year. At that time, you decided to invest in a 7-year annuity with $20,000 deposited at the end of each year. Now, right after you made the 4th deposit, the expected annual inflation rate for the next 3 years is 3% per year. To keep your investment goal of 6% real annual return and keeping up with the new inflation rate, how much more each year for the last 3 years you will need to deposit in addition to the $20,000 per year to reach that goal?

Simon, aged 10, is invited to a classmate's birthday party at an exclusive ski resort on march 15th. the day will include 4 hours of snowboarding, lunch and birthday cake. simon's mother checks a box on the invitation that says "yes, we will attend" and returns it to the classmate's address. unfortunately, they later don't attend the party when simon comes down with the flu. on march 17th, simon's mother receives an invoice in the mail from simon's classmate for $35 that says, "party no-show fee." can simon's classmate collect the fee?

Jose recently died with a probate estate of $900,000. he was predeceased by his wife, guadalupe, and his daughter, lucy. he has two surviving children, pete and fred. jose was also survived by eight grandchildren, pete’s three children, naomi, daniel, nick; fred’s three children, heather, chris and steve; and lucy’s two children, david and rachel. jose’s will states the following “i leave everything to my three children. if any of my children shall predecease me then i leave their share to their heirs, per stirpes.” which of the following statements is correct? (a) under jose’s will rachel will receive $150,000. (b) under jose’s will chris will receive $150,000. (c) under jose’s will nick will receive $100,000. (d) under jose’s will pete will receive $200,000.

Customers arrive at rich dunn's styling shop at a rate of 3 per hour, distributed in a poisson fashion. rich can perform an average of 5 haircuts per hour, according to a negative exponential distribution.a) the average number of customers waiting for haircuts= customersb) the average number of customers in the shop= customersc) the average time a customer waits until it is his or her turn= minutesd) the average time a customer spends in the shop= minutese) the percentage of time that rich is busy= percent