Henry Weatherspoon, a super salesman contemplating retirement on his fifty-fifth birthday, decides to create a fund on an 11% basis that will enable him to withdraw $19,350 per year on June 30, beginning in 2024 and continuing through 2027. To develop this fund, Henry intends to make equal contributions on June 30 of each of the years 2020–2023. Click here to view factor tables

How much must the balance of the fund equal on June 30, 2023, in order for Henry to satisfy his objective? (Round factor values to 5 decimal places, e. g. 1.25124 and final answer to 0 decimal places, e. g. 458,581.)

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?