(2) Retirement investment: Suppose an initial deposit of D dollars into a savings account yields a fixed percentage per year. We would like to know how much capital D a person needs to initially deposit when s/he retires to live for N years assuming an annual withdrawal of W dollars. (i) How much money needs to be initially deposited to last exactly N years when withdrawing W dollars per year (starting after the first year) out of the account? [Note: the partial sum of a geometric series is given by: P N i=1 bri−1 = b(1 − r N )/(1 − r)]. (ii) In a realistic scenario, the average person retires at 65 and the life expectancy is about 80 years. Assume a 5% yield a year and that the person needs 30, 000 per year to sustain themselves. How much does this person need to invest at retirement? (iii) Compare this to the total amount needed to live for 15 years at 30, 000 per year (= 15 × 30, 000 = 450, 000).

What is the length and width of a 84.5 square foot rug? will mark

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Apoll is being conducted at a mall nothingto obtain a sample of the population of an entire country. what is the frame for this type of​ sampling? who would be excluded from the survey and how might this affect the results of the​ survey? what is the frame for this type of​ sampling? a. the frame is people who need new clothes. b. the frame is people who shop at the mall. c. the frame is people who like to shop. d. the frame is the entire population of the country. who would be excluded from the survey and how might this affect the results of the​ survey? a. any person that does not need new clothes is excluded. this could result in sampling bias due to undercoverage. b. any person who does not shop at the mall is excluded. this could result in sampling bias due to undercoverage. c. any person who does not shop at the mall is excluded. this could result in nonresponse bias due to people not participating in the poll. d. there is nobody that is being excluded from the survey.