Find out the rate of increase in saurons power

Assignment Help Mathematics

Reference no: EM131011619

Due to your renown as a Mathematician, Gandalf has hired you as a part-time member of the Fellowship of the Ring, who have been tasked with destroying the One Ring. Gandalf knows that Sauron's power can be modeled with the equation P(x) = -x² - 50x + 10,000 where x is the distance (in miles) between the One Ring and Mt. Doom. The Fellowship is traveling towards Mt. Doom at a rate of 30 miles per day (that is, the rate of change of distance is -30 miles per day). Find out the (time) rate of increase in Sauron's power when the Fellowship is 75 miles from Mt. Doom.

Reference no: EM131011619

Questions Cloud

The LIBOR zero curve is flat : The LIBOR zero curve is flat at 5% (continuously compounded) out to 1.5 years. Swap rates for 2- and 3-year semiannual pay swaps are 5.4% and 5.6%, respectively. Estimate the LIBOR zero rates for maturities of 2.0, 2.5, and 3.0 years.

A test for esp : In a test for ESP (extrasensory perception), the experimenter looks at cards that are hidden from the subject. Each card contains either a star, a circle, a wave, or a square. As the experimenter looks at each of 20 cards in turn, the subject name..

What is the retailers effective cost of trade credit : A large retailer obtains merchandise under the credit terms of 3/10, net 40, but routinely takes 60 days to pay its bills. (Because the retailer is an important customer, suppliers allow the firm to stretch its credit terms.) What is the retailer's e..

Before tax cash flow savings : Keystone Canning Company must replace one of its fully depreciated canning machines. Two new models are available. Machine A, having a cost of $100,000 an expected life of 3 years and before tax cash flow savings of $55,000 per year and Machine B, ha..

Find out the rate of increase in saurons power : Gandalf knows that Sauron's power can be modeled with the equation P(x) = -x2 - 50x + 10,00. Find out the (time) rate of increase in Sauron's power when the Fellowship is 75 miles from Mt. Doom.

Considering an annuity : You are considering an annuity that will pay you $1300 per year for 25 years, with the first payment made 15 years from now. How much are you willing to pay for the annuity if the interest rate is 2%?

What would be the monthly payment on the loan : You are thinking about buying a car, and a local bank is willing to lend you $15,000 to buy the car. Under the terms of the loan, it will be paid off over 5 years with an APR of 6%. What would be the monthly payment on the loan? What is the interest ..

Political or technological events are affected by culture : Discuss what global social, economic, political or technological events are affected by culture and how a better understanding of intercultural communications can influence how we respond to these events.

Investment to reach the desired level at first bank : You are saving to buy a $194,000 house. There are two competing banks in your area, both offering certificates of deposit yielding 7.9 percent. How long will it take your initial $111,000 investment to reach the desired level at First Bank, which pay..

User Account

All Pages