Suppose that a company needs new equipment, and that the machinery in question earns the company revenue at a continuous rate of 58000t + 39000 dollars per year during the first six months of operation, and at the continuous rate of $68000 per year after the first six months. The cost of the machine is $145000. The interest rate is 8% per year, compounded continuously. a) Find the present value of the revenue earned by the machine during the first year of operation. Round your answer to the nearest cent. Value: $59503.66 b) Determine how long it will take for the machine to pay for itself; that is, how long until the present value of the revenue is equal to the cost of the machine. Round your answer to the nearest hundredth. Years:

Q.4. Subject  :- Economic

I borrowed $25,000 with an add-on rate, 4% for two years and I have to make weekly payments. Using this information, determine the amount of weekly instalment I will be making. a) Between $234 and $245 b) None of the answers is correct c) Between $254 and $265 d) Between $334 and $345 e) Between $354 and $365

Before last year, Ellie (Luke's wife) taught music and earned $30,400. She also earned $9,600 by renting out their basement as a studio apartment. Ellie saves every month. At the end of a typical year she would have saved a total of 10% from her wages and the income earned from the basement for the entire year, and earned a total of 0.5% in interest (for the entire year). At the beginning of last year, Ellie stopped teaching music. She also stopped renting out their basement, and began to use it as the office for her new web design business. The balance on her savings account was $150,000, and she took $5,000 from this account to buy a new laptop computer and a new printer (which also functions as a scanner and a facsimile). She also borrowed $12,000 from the local bank to purchase additional machinery and equipment (a graphics tablet, desktop computer, studio camera and an external hard drive). Her loan payment is $250 per month. During last year, she paid $3,000 for the lease of a…