You are considering an annuity that costs $160,000 today. the annuity pays $17,500 a year at an annual interest rate of 7.5 percent. what is the length of the annuity time period?

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?

In the 1970s, kmart used blue light specials to encourage customers to flock to a particular department having a temporary sale. a spinning blue light activated for approximately 30 seconds, and then an in-store announcement informed shoppers of the special savings in the specific department. over time, loyal kmart shoppers learned to flock to the department with the spinning blue light before any announcement of special savings occurred. if kmart was employing classical conditioning techniques, what role did the spinning blue light play?

One pound of material is required for each finished unit. the inventory of materials at the end of each month should equal 20% of the following month's production needs. purchases of raw materials for february would be budgeted to be: