Suppose sally smith plans to invest $1,000. she can earn an effective annual rate of 5% on security a, while security b has an effective annual rate of 12%. after 11 years, the compounded value of security b should be more than twice the compounded value of security a. (ignore risk, and assume that compounding occurs annually.)

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening. a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number. include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i. e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

When cell phones were first entering the market, they were relatively large and reception was undependable. all cell phones were essentially the same. but as the technology developed, many competitors entered, introducing features unique to their phones. today, cell phones are only a small fraction of the size and weight of their predecessors. consumers can buy cell phones with color screens, cameras, internet access, daily planners, or voice activation (and any combination of these features). the history of the cell phone demonstrates what marketing trend?

Four students are at an extracurricular activity fair at their high school and are trying to decide which clubs to join. some information about the students is listed in this chart: which describes which ctso each student should join?