As an analyst at Decimating Capital, you are asked to estimate the future revenue of the Slate Rock and Gravel Company which is currently $10 million. Based on comparable companies, you predict their revenue will grow at the rate of R(t) = 0.825/t^0.04 million dollars per year where t is the number of years from today. What will be their approximate revenue in 5 years?

Statistics complied by the local department of corrections indicate that x years from now the number of inmates in-country prisons will be increasing at the rate 280e^0.2x per year. Currently, 2,000 inmates are housed in county prisons. How many inmates should the county expect in 10 years?

man wants to have 100000 in 25 years how much does he got to invest if the rate is 6% compounded continuously?

Suppose a species of fish in a particular lake has a population that is modeled bythe logistic population model with growth rate k, carrying capacity N, and time tmeasured in years. Adjust the model to account for each of the following situations. * One hundred fish are harvested each year.* One-third of the fish population is harvested annually.* The number of fish harvested each year is proportional to the square root of thenumber of fish in the lake. I was hoping to compare my answer to yours because I am a little confused if I did it right. Thank you for your time and effort.

2. How long will it take you to get ten times your money at 2% interest compounded continuously.

An investor is presented with a choice of two​ investments: an established clothing store and a new bookstore. Each choice requires the same initial investment and each produces a continuous income stream of 3​%, compounded continuously. The rate of flow of income from the clothing store is f(t)=12,000​, and the rate of flow of income from the book store is expected to be g(t)=10,000e^0.05t. Compare the future values of these investments to determine which is the better choice over the next 2 years.

When you moved into your dorm room, there were initially 40 termites. After 6 days, there were 125 termites. To predict the future population of your termite infestation, create a exponential growth model of the form y=Ca^x where x represents days.

A firm experienced the demand shown in the following table. Fill in the table by preparing forecasts based on a five-year moving average, a three-year moving average, and exponential smoothing (w=0.9w=0.9 and w=0.3w=0.3). (Note: The exponential smoothing forecasts may be begun by assuming Yˆt + 1=YtY^t + 1=Yt.) Year Actual Demand Moving Average Exponential Smoothing (5-year) (3-year) (W = 0.9) (W = 0.3) 2000 800         2001 790               2002 785               2003 785   792              2004 790   787              2005 805 790    787              2006 825 791    794              2007 850 798    807              2008 825 811    827              2009 860 819    834              2010 * 833    846                The following table shows the square errors, (Yt−Yˆt - 1)2Yt−Y^t - 12, for forecasts from 2005 through 2009. Fill the table by calculating the root mean square error (RMSE) for each of the methods. Year Square…

If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how long does it take for the amount of money in the account to double?

You invest 10,000  and pay 3% interest compound continuously . How will you have in 5 years?