Suppose revenue from the sale of new homes in a certain country decreased dramatically from 2005 to 2010 as shown in the model r(t) = 413e-0.326t billion dollars per year (0 sts 5), where t is the year since 2005. If this trend were to have continued into the indefinite future, estimate the total revenue from the sale of new homes in the country from 2005 on. HINT [See Example 1.] (Round your answer to the nearest billion dollars.)
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- A department store is about to order deluxe, standard, and economy grade DVD players for next year's inventory. The state of the nation's economy (fate) during the year will be a factor on sales for that year. Records over the past 5 years show that if the economy is up, the store will net 4, 2, and 1 million dollers, respectively, on sales of deluxe, standard, and economy grade models; if the economy is down, the company will net -2, 1, and 4 million dollars, respectively, on sales of deluxe, standard, and economy grade models. Complete parts A through D below. The expected value of the game to the company if it orders only deluxe DVD players and fate plays the strategy "Down" is | (Simplify your answer.) The expected value of the game to the company if it plays its optimal strategy and fate plays the strategy "Down" is (Simplify your answer.)A company selling widgets has found that the number of items sold, x, depends upon the price, p at which 60000 they're sold, according the equation x = V5p + 1 Due to inflation and increasing health benefit costs, the company has been increasing the price by $4 per month. Find the rate at which revenue is changing when the company is selling widgets at $230 each. dollars per monthIf the annual rate of world oil consumption t years after 1970 is modeledby the equation R(t) = 16.1e^.07t (billions of barrels per year), how much total oil (net change) was used between 1976 and 1980?
- 2. Suppose we have the following data to study if a country's per capita income (measured in thousands of dollars) is a function of its R&D spending (measured as a percentage of GDP). ( country 1 2 3 4 xi yi 1 4 2 6 3 7 4 10 (1) Calculate beta hats with OLS. (2) Calculate R2 and adjusted R².Assume that the average or mean monthly household consumption expenditure for Malaysia rose from RM3,578 in 2018 to RM4,033 in 2020, growing 6% per annum at nominal value, according to the statistics department. However, in terms of real value — which refers to the constant price using the Consumer Price Index with the base year 2014 as the deflator — annual growth rate is 3.9% for the same period, mentioned on its Household Expenditure Survey Report 2020. b) i. Use the aggregate expenditures model to show how government fiscal policy could eliminate either a recessionary expenditure gap or an inflationary expenditure gap. ii. Explain how equal-size increases in G and T could eliminate a recessionary gap and how equal-size decreases in G and T could eliminate an inflationary gap.esources Assume the following: (1) the interest rate on six-month treasury bills is 8 percent per annum in the United Kingdom and 4 percent per annum in the United States; (2) today's spot price of the pound is $1.50, while the six-month forward price of the pound is $1.485. If the price of the six-month forward pound were to then U.S. investors would no longer earn an extra return by shifting funds to the United Kingdom. O rise to $1.52 O rise to $1.55 O fall to $1.40 O fall to $1.47
- Use exponential smoothing with a smoothing constant of 0.3 to forecast the demand for fertilizer in year 12. Assume that last period's forecast for year 1 is 5,000 bags to begin the procedure. Bags are shown in 1,000's in table below. Year Demand (Bags) 6 3 4. 4. 5 10 6 8. 7 7 8 9 12 10 14 11 15 O A. 14.00 ОВ. 14.87 OC. 11.79 O D. 13.67 Click to select your answer. tUs I MacBook Air 80 F3 888 * ES F4 44 F7 F2 F6 F8 >) FIO F11 @ #3 24 4 & 2 6. 7 8 9. 0. W R Y U P. F G H %3D K C V N alt command command option * co1. Suppose that an equation for infant mortality is described by the function: - VD (P)1². where i is the infant mortality rate (expressed in per 1,000 children), Y is the gross domestic product (in US dollars), P is the population, and 3 and b are constants. a. Derive a linear (in parameters) equation from the function above with In i as the left Y -hand side variable and In y on the right-hand side. Note that y =, which is the P' GDP per capita. b. Identify the slope and intercept in the derived equation in (a). What could be the relationship between i and y? Provide an economic explanation. c. Derive a formula of the slope parameter in the linear equation in (a) for the interpretation of the changes in the variables. Interpret the resulting equation.where The total fresh vegetables consumed per person per year can be modeled by V(t) = 0.5(t-4)²-3 V(t) is the total fresh vegetables consumed per person in pounds per year t years since 1999. In 2009, what is the total fresh vegetables consumed per person will be? {final answer will be number only}.
- 2. Consider the following estimated regression equation (standard errors in parentheses): Yi-120+ 0.10Ft + 5.33Rt (0.05) (1.00) R² = 0.5 i. ii. iii. where A Yi = the corn yield (bushels/ha) in year t Ft = fertilizer intensity (pounds/ha) in year t Rt = rainfall (inches) in year t Interpret the meaning of the intercept. Suppose you are told that the true value of BF (coefficient on fertilizer intensity) is known to be 0.20. Does this show that the estimate is biased? Why or why not? Suppose you were told that the equation does not meet all the classical assumptions and, therefore, the OLS estimator used is not BLUE. Does this mean that the true BR (coefficient on rainfall) is definitely not equal to 5.33? Why or why not?Assume that the average or mean monthly household consumption expenditure for Malaysia rose from RM3,578 in 2018 to RM4,033 in 2020, growing 6% per annum at nominal value, according to the statistics department. However, in terms of real value — which refers to the constant price using the Consumer Price Index with the base year 2014 as the deflator — annual growth rate is 3.9% for the same period, mentioned on its Household Expenditure Survey Report 2020. a) Suppose that consumer spending initially rises by RM5 billion for every 1 percent rise in household wealth and that investment spending initially rises by RM20 billion for every 1 percentage point fall in the real interest rate. Also, assume that the economy’s multiplier is 4. i. If household wealth falls by 5 percent because of declining house values, and the real interest rate falls by two percentage points, in what direction and by how much will the aggregate demand curve initially shift at each price level? ii. In what…A company selling widgets has found that the number of items sold, x, depends upon the price, p at 90000 which they're sold, according the equation z = (0.6p + 1)? Due to inflation and increasing health benefit costs, the company has been increasing the price by $0.06 per month. Find the rate at which revenue is changing when the company is selling widgets at $8 each. Revenue is decreasing by dollars per month Hint: Give your answer as a positive value.