You plan on taking an Asian vacation 7 years from today. The vacation is estimated to cost $15,300 at the time of traveling, and you have decided to invest in an investment instrument that pays 7.2 percent per year, to fund it. How much should you invest today to achieve your objective?

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?

Match the different financial task to their corresponding financial life cycle phases

In 2018, laureen is currently single. she paid $2,800 of qualified tuition and related expenses for each of her twin daughters sheri and meri to attend state university as freshmen ($2,800 each for a total of $5,600). sheri and meri qualify as laureen’s dependents. laureen also paid $1,900 for her son ryan’s (also laureen’s dependent) tuition and related expenses to attend his junior year at state university. finally, laureen paid $1,200 for herself to attend seminars at a community college to her improve her job skills.what is the maximum amount of education credits laureen can claim for these expenditures in each of the following alternative scenarios? a. laureen's agi is $45,000.b. laureen’s agi is $95,000.c. laureen’s agi is $45,000 and laureen paid $12,000 (not $1,900) for ryan to attend graduate school (i.e, his fifth year, not his junior year).