It is projected that, t months from now, the population of a city will be ?(?) = 7650 + 7t + 4t^3/2 a) what will the average rate of change of the population during the next 16 months? b) what rate will the population be changing after 6 months from now?
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A: SENSUS TRACT CENTER OF TRACT (di) POPULATION IN TRACK(Pi) A (3,4) 45,000 B (4,5) 25,000…
It is projected that, t months from now, the population of a city will be ?(?) = 7650 + 7t + 4t^3/2
a) what will the average rate of change of the population during the next 16 months?
b) what rate will the population be changing after 6 months from now?
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- The construction manager for Acme Construction, Inc., must decide whether to build single-family homes, apartments, or condominiums. He estimates annual profits (in $000) will vary with the population trend as follows: Type POPULATION TREND Declining Stable Growing Single Family 200 90 70 Apartments 70 170 90 Condos (20 ) 100 220 If he feels the chances of declining, stable, and growing population trends are 40 percent, 50 percent, and 10 percent, respectively, what is his expected value of perfect information?Daily high temperatures in St. Louis for the last week were as follows: 92, 91, 95, 95, 96, 90, 93 (yesterday). a) The high temperature for today using a 3-day moving average = 9393 degrees (round your response to one decimal place). b) The high temperature for today using a 2-day moving average = 91.591.5 degrees (round your response to one decimal place). c) The mean absolute deviation based on a 2-day moving average = 2.42.4 degrees (round your response to one decimal place). d) The mean squared error for the 2-day moving average = nothing degrees2 (round your response to one decimal place).The number of hybrid cars that have be requested for rental from a car rental office during a 50 day sample period is given in the following table. Demand for Cars Number of Days Probability 3 3 0.06 4 7 0.14 5 12 0.24 6 14 0.28 7 10 0.20 8 4 0.08 50 1.00What is the expected (mean) number of hybrid rentals per day? Compute to one decimal place.
- Alvin Cheah is a marketing analyst for Rockstar Travel Company. He wants to analyze the trend of international tourist arrival in Tawau by using international tourist arrival rate and flight delayed rate over the past 10 years as given in Table 2 below: (Hint: Provides your answers in two decimal points) Table 2 Year 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 Arrival (‘000) 35.5 28.0 30.3 36.0 49.5 56.0 72.4 71.0 79.3 96.0 Delayed rate 4.2 3.8 3.8 3.5 4.6 4.5 4.6 4.6 4.7 4.5 a) Propose ONE (1) forecasting model that can be used by Alvin. Why would you proposed that particularmodel? b) Develop the forecasting model that you suggest in (i). Briefly explain yourYEAR 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 ARRIVAL ('000) 35.5 28 30.3 36 49.5 56 72.4 71 79.3 96 DELAYED RATE 4.2 3.8 3.8 3.5 4.6 4.5 4.6 4.6 4.7 4.5 A marketing analyst for Rockstar Travel Company. He wants to analyze the trend of international tourist arrival in KL by using international tourist arrival rate and flight delayed rate over the past 10 years. Propose ONE (1) forecasting model that can be used by Alvin. Why would you proposed that particular model? Develop the forecasting model that you suggest in (i). Briefly explain your model.$4.00 in 1911 would be equivalent to ~$125.00 in 2023. If a person in 2023 earned $125 per week (52 weeks in a year), then how much would they earn for their annual income?
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- Exponetial Growth and decay: What is the definition of Exponential growth? expplain the process to write a model for this situation. The number of visitors to a state park grows at an annual rate of 1.69%, This year the number of visitors was 44,505. Use figure above to write equation.Todd's Direct, a major TV sales chain headquartered in New Orleans, is about to open its first outlet in Mobile, Alabama, and wants to select a site that will place the new outlet in the center of Mobile's population base. Todd examines the seven census tracts in Mobile, plots the coordinates of the center of each from a map, and looks up the population base in each to use as a weighting. The information gathered appears in the following table. Census Tract Population in Census Tract X, Y Map Coordinates 101 2,100 (26,44) 102 5,200 (25,24) 103 10,500 (57,42) 104 7,200 (52,18) 105 10,400 (80,48) 106 18,000 (68,22) 107 14,000 (84,22)Daily high temperatures in St. Louis for the last week were as follows: 92, 94, 95, 92, 95, 86, 95 (yesterday). degrees (round your response to one decimal a) The high temperature for today using a 3-day moving average = [ place). b) The high temperature for today using a 2-day moving average = place). degrees (round your response to one decimal c) The mean absolute deviation based on a 2-day moving average = degrees (round your response to one decimal place). d) The mean squared error for the 2-day moving average = degrees2 (round your response to one decimal place). e) The mean absolute percent error (MAPE) for the 2-day moving average=% (round your response to one decimal place). iev S
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