Jan is 62 and is considering retiring soon. She has $680,000 in a fund paying interest at an annual rate of 4.2% compounded continuously. She would like to withdraw a fixed amount continuously after she retires, and have a balance of $80,000 when she is 90 years old. Assume a continuous money flow, then she can spend $. John is 28 years old and plans to retire at 67. He wants to have a fund at 67 that will let him spend $4,500 a month after retirement, and last for 45 years. Assume a continuous money flow. Answer the following.
(a) Suppose that after his retirement John puts the money in a fund paying interest at an annual rate of 4.2%, compounded continuously. Then John will need $for his retirement.
(b) Suppose that John starts to invest a fixed amount each month from now until he retires, in a fund that pays interest at an annual rate of 6.2%, compounded continuously Then he should invest $each month.
If Jan decides to postpone her retirement for 4 years, then she can spend $each month after retirement.
If John waits until he is 35 to start investing for his retirement, then he needs to invest $amount when he retires at 67.

The owners of backstreets italian restaurant are considering starting a delivery service forpizza and their other italian dishes in the small college town where they are located. theycan purchase a used delivery van and have it painted with their name and logo for $21,500.they can hire part-time drivers who will work in the evenings from 5 p.m. to 10 p.m. for$8 per hour. the drivers are mostly college students who study at the restaurant when theyare not making deliveries. during the day, there are so few deliveries that the regular employeescan handle them. the owners estimate that the van will last 5 years (365 days per year)before it has to be replaced and that each delivery will cost about $1.35 in gas and othermaintenance costs (including tires, oil, scheduled service, they also estimate that onaverage each delivery order will cost $15 for direct labor and ingredients to prepare andpackage, and will generate $34 in revenue.a. how many delivery orders must backstreets make each month in order for the service to break even? b. the owners believe that if they have approximately the break-even number of deliveries during the week, they will at least double that number on fridays, saturdays, and sundays. if that’s the case, how much profit will they make, at a minimum, from their delivery service each month (4 weeks per month)?

On september 1, 2016, steve loaned brett $2,000 at 12% interest compounded annually. steve is not in the business of lending money. the note stated that principal and interest would be due on august 31, 2018. in 2018, steve received $2,508.80 ($2,000 principal and $508.80 interest). steve uses the cash method of accounting. what amount must steve include in income on his income tax return?

Win goods inc. is a large multinational conglomerate. as a single business unit, the company's stock price is estimated to be $200. however, by adding the actual market stock prices of each of its individual business units, the stock price of the company as one unit would be $300. what is win goods experiencing in this scenario? a. diversification discount b. learning-curveeffects c. experience-curveeffects d. economies of scale