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If returns r_t follow an autoregressive process AR(1) with coefficient 0.5, what is the autocorrelation at lag 2 (rho(2)) for this process
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- If returns rt follow an AR(1) process with the autoregressive coefficient 0.1, what is the autocorrelation between r5 and r8Solve for x for the following equation: 4ln(3x-8) = 60A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by s = 30.000 - 20.000 e -0.00025x. The current weekly advertising costs are $4,000, and these costs are increasing at a rate of $600 per week. Find the current rate of change of sales. The current rate of change of sales is $ per week. (Round to the nearest dollar as needed.)
- In the formula ke >= (D1/P0) + g, what does (D1/P0) represent?New ads have been proposed and cost the company $5000 to run in each time slot. If the extra sales from each new ad are determined be sales = 11000 - 30ad. How many ads should be run? (enter as an integer).Compute to three decimal places. (See attached) Initial values are: PX = $9500 PY = $10000 I = $15000 A = $170000 W = 160 This function is: Qs = 89830 -40PS +20PX +15PY +2I +.001A +10W
- Windies Cricket manufactures Windies supporter jerseys. The quantity q, of thesejerseys demanded weekly is related to the wholesale price per jersey p, by thefollowing equation:? = −0.006? + 15The weekly total cost incurred by Windies Cricket for producing q jerseys is:?(?) = 38? − 0.02?2 + 30,000a. Determine an expression to represent the weekly Revenue functionb. Determine an expression to represent the weekly Profit function.c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450jerseys?e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, whatrange(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.Plot the logarithm of arrivals for each transportation mode against time, all on the same graph. Which now appears to be growing the fastest?After the end of an advertising campaign, the sales of a product is given by S=900,000e 0.2t where S is weekly sales in dollars and t is the number of weeks since the end of the campaign. (a) Find the rate of change of S (that is, the rate of sales decay). dS dt = (b) From looking at the function and its derivative, explain how you know sales are decreasing. The given function is an exponential ---Select--- ✓ model. Additionally, the derivative of the given function is always ---Select--- Pollution levels in a lake have been modeled by the equation x = 0.05 +0.18e-0.38t where x is the volume of pollutants (in cubic kilometers) and t is the time (in years). What is the rate of change of x with respect to time? x'(t) = With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total public expenditures for health care H can be modeled by H = 1,500 0.053t where t is the number of years past 2000 and H is in billions of dollars. If this model is accurate,…
- With respect to a given product, describe the connection that exists between equalibrium/disequalibrium and prediction. cite an unique exampleThe magnetic circuit in the figure has a coil with 120 turns, the core is made of Sinimax (ur = 3000) and the thickness is 5 [cm]. Calculate the excitation current i to generate a = 8.5 * 10^-4 [Wb] and the values of energy and magnetic coergy in each reluctance. 5 cm 16 cm 5 cm 16 cm 5 cm 2. 5 cm N 16 cm 5 cmThe IV monotonicity assumption states that cov(z,u) = 0. True or false