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- Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
- If a new car is valued at $20,600 and 8 years later it is valued at $3000, then what is the average rate of change of its value during those 8 years?Suppose that a machine's production can be considered as a continuous income stream with annual rate of flow at time t given by f(t) = 10,000 − 900t (dollars per year). If money is worth 10%, compounded continuously, find the present value of the machine over the next 8 years.2.) The manufacturer's suggested retail price (MSRP) for a particular car is $24,630, and it is expected to be worth $10,940 in 5 years. (a) Find a linear depreciation function for this car. (b) Estimate the value of the car 8 years from now. (c) At what rate is the car depreciating?
- Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5 million pesos.After 2 years, the value decreased to 1.2 million pesos. If the amount of the car is directly proportional to theconstant rate of decay in amount and such decrease in amount continues at the same rate, then how much is theestimated value of the car after 10 years?A money market fund has a continous flow of money at a rate of f(x)=0.07x+700 for 10 years. Find the presnt value of this flow if interest is earned at 5% compounded continuosly.You have an opportunity to buy a business that will earn $10,000 per year continuously over the next 9 years. If you could earn 7% interest compounded continuously, how much would this business be worth now based on the next 9 years of income? That is, which of the following integrals represents the Present Value of the continuous income stream?