population of beetles are growing according to a linear growth model. The initial population ( week 0) is p0 and the population after 6 weeks is p6 = 27Find an explicit formula for the beetle population after n weeks. After how many weeks will the beetle population reach 90?
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- Suppose California’s population is 30 million people, and its population is expected to grow by 2% per year. How long would it take for the population to double? Show the Excel Wizard FormulaInputs: PV = -30 FV = 60 I/YR = growth rate 2% N = ? Wizard (NPER): = _____ Years to double.The fox population in a certain region has an annual growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 29700.(a) Find a function that models the population tt years after 2000 (t=0t=0 for 2000). Your answer is P(t)=P(t)= (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)Ten annual returns are listed in the following table: | a. What is the arithmetic average return over the 10-year period? b. What is the geometric average return over the 10-year period? c. If you invested $100.00 at the beginning, how much would you have at the end? a. What is the arithmetic average return over the 10-year period? The arithmetic average return over the 10-year period is %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) - 19.2% 16.1% 18.1% -49.5% 43.2% 1.9% -16.8% 45.9% 45.1% -3.5% Print Done ×
- Suppose the average growth rate for a small town with a population of 35,180 in the northeast United States was approximately 0.65% per year. (a) Assuming that growth rate continues, write an equation that will give the population A in t years. A= ? (b) In how many years will the population be 40,000? Round to the nearest tenth of a year. ? yrThe following table..shows the one-year return distribution of Startup, Inc. Calculate: a. The expected return. b. The standard deviation of the return. Data table (Click on the following icon in order to copy its contents into a spreadsheet.) 40% Probability Return - 80% 20% -65% 20% - 40% 10% -20% 10% 1,000%a. In 2000, the population of a country was approximately 5.76 million and by 2050 it is projected to grow to 10 million. Use the exponential growth model A=A0ekt, in which t is the number of years after 2000 and A0 is in millions, to find an exponential growth function that models the data. b. By which year will the population be 11 million?
- The values of Alabama building contracts (in millions of dollars) for a 12-month period are as follows: Construct a time series plot. What type of pattern exists in the data? Compare a three-month moving average forecast with an exponential smoothing forecast. Use α = 0.2. Which provides the better forecasts based on MSE? What is the forecast for the next month using exponential smoothing with α = 0.2?If that 55% return on investment (ROI) occurs over a decade, r = .55 and n = 10, so the annualized rate of return is 0.060 0.0448 0.070 0.050A project will double your investment in one year with probability 0.58, otherwise you'll lose half of your investment. What is the standard deviation of this investment? Enter answer in percents, to two decimal places.
- Suppose you have a project that has a 0.5 chance of tripling your investment in a year and a 0.5 chance of doubling your investment in a year. What is the standard deviation of the rate of return on this investment? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places.) Standard deviation %You estimate that a planned project for your company has a 0.3 chance of tripling the investment in a year and a 0.7 chance of halving the investment in a year. What is the standard deviation of the return on this project? A.1.5625 B.1.3126 C.1.2247 D.1.1457Suppose you have a project that has a 0.6 chance of doubling your investment in a year and a 0.4 chance of halving your investment in a year. What is the standard deviation of the rate of return on this investment? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places.) Answer is complete but not entirely correct. 40.99 Standard deviation %