An individual has been making periodic premium payments on an annuity. The annuity income payments are scheduled to begin after 1 year since the annuity was purchased. What type of annuity is it

Amathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. thus, if mexico's real gdp per person is growing at 7 percent per year, it will take about 10 years(=70/7) to double. apply the rule of 70 to solve the following problem. real gdp per person in mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the u.s. if real gdp per person in mexico grows at the rate of 5 percent per year: how long will it take mexico's real gdp per person to reach the level that the united states was at in 2005? (hint: how many times would mexico's 2005 real gdp per person have to double to reach the u.s.'s 2005 real gdp per person?

(05.04 mc) a 2012 report from the u.s. surgeon general stated: "another common practice is strategically locating tobacco-related marketing materials where young children will be exposed to them. tobacco industry executives acknowledge that products and advertising should be placed at eye level (pollay 2007), but in california, 48% of stores had at least one cigarette marketing item at or below 3 feet from the floor (feighery et al. 2001)." it was also noted that 25% of cigarette displays were next to candy. in addition, a national study found that about one-third of the stores had tobacco ads at low heights. after california banned counter displays, some stores place cigarettes in transparent displays so product brands could still be seen. why did some stores use transparent units to display the cigarettes? (3 points) to comply with the new rules while still encouraging cigarette purchases via visual exposure to ensure children and minors are not exposed to cigarettes and their eye-catching packaging to minimize exposure to humidity, extending the shelf life of the cigarettes' tobacco to reduce the occurrence of shoplifting, since cigarettes are high-revenue items

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.