Captain america (cap) is transported by one of his foes to the planet trellis, where he is forced to participate in gladiatorial games with the native trellisians. while no one is severely injured during these battles, winners do get an extra piece of trellisian apple pie for dessert. the size of cap's opponents is determined by alleles at seven loci in the trellisian genome: we shall label them a1, a1, a2, a2, a7, a7. each capital allele is an increaser allele, adding the same amount to the size and weight (musculature) of the trellisian competitor, and each lower-case allele is a null allele, adding nothing. cap knows that the smallest opponent he has faced, who is homozygous for all lower-case alleles, has a trellisian musculature index (tmi) of 56. cap also knows that his 2nd opponent, with a multi-locus genotype of: a1a1 a2a2 a3a3 a4a4 a5a5 a6a6 a7a7, has a tmi of 181. given this information, what is the tmi of the strongest opponent cap must face; that is, the opponent who is homozygous for all capital alleles at all seven loci?

Suppose that xtel currently is selling at $40 per share. you buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. the rate on the margin loan is 8%. a. what is the percentage increase in the net worth of your brokerage account if the price of xtel immediately changes to (a) $44; (b) $40; (c) $36? (leave no cells blank - be certain to enter "0" wherever required. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) b. if the maintenance margin is 25%, how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.) c. how would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (round your answer to 2 decimal places.) d. what is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if xtel is selling after one year at (a) $44; (b) $40; (c) $36? (negative values should be indicated by a minus sign. round your answers to 2 decimal places.) e. continue to assume that a year has passed. how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.)

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?

:; )write a paragraph of two to three sentences and describe what will happen to a society that does not have a productive workforce?