Find the general solution for the following differential equation: ty' + 2y = 5t² + 5t - 7 Then find the particular solution that satisfies the initial value y(1) = -9.3.
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- The Park family would like to prepare next month's family budget by forecasting its family expenses. The following data show the amount of money spent on food for the last 10 months. Complete parts a through d below. Month Dollars 1 343 2 357 3 294 The best choice is the a) Forecast the family's food expenditures next month using a three-period simple moving average. The forecast for the family's food expenditures next month is $ (Round to the nearest dollar as needed.) b) The forecast for the family's food expenditures next month is $ (Round to the nearest dollar as needed.) d) Which forecast should you choose? Why? 4 336 The forecast for the family's food expenditures next month is $ (Round to the nearest dollar as needed.) c) Forecast the family's food expenditures next month using exponential smoothing with a = 0.1. 5 361 because it has the 6 339 Forecast the family's food expenditures next month using a three-period weighted moving average with weights 0.7, 0.2, and 0.1, applying…Stock in Company A sells for $94 a share and has a 3-year average annual return of $24 a share. The beta value is 1.25. Stock in Company B sells for $83 a share and has a 3-year average annual return of $16 a share. The beta value is 1.12. Derek wants to spend no more than $16,000 investing in these two stocks, but he wants to earn at least $2700 in annual revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that Derek should buy. Derek should buy ? share(s) of stock in company A snd share(s) of stock in company B Please show corner points!Directions: Solve the following problems and answer the following questions. Using appropriate technology is expected. Pay careful attention to requested levels of precision when reporting answers. The management at Fitness Fanatics Gym & Health Club has recently proposed four new levels of memberships: bronze, silver, gold and platinum. They surveyed current members in order to anticipate have they might respond to this change in membership plans. The results indicating their preferred level of membership were as follows: Bronze Silver Gold Platinum 60 40 80 120 The management had previously anticipated that the Bronze and Silver membership levels would each attract half as many members as the Gold and Platinum membership levels. At the 1% level of significance, test the claim that the preferences for membership levels adhered to the anticipated breakdown as the management had initially conjectured.
- Researchers are trying to predict driving speed from energy drink consumption. They found that people drive on average 15km/h faster for every one energy drink they drink. If the intercept is 0.5, how fast do you expect someone to drive if they drink 5 energy drinks? Your final answer should reflect how fast they will drive, not how much faster they will drive.You are an analyst for a consumer products company. You run a survey of 1000 customers and find that 80% of customers use gel packs for laundry detergent (the rest use liquid or powder) and 40% of customers use gel packs for their dishwasher detergent (the rest use liquid or powder). You also learn that twice as many customers use laundry detergent than dishwasher detergent and that this relationship is independent of gel pack or other types of products (liquid or powder).ONLY ANSWER B3!!! The inventory manager at a warehouse distributor wants to predict inventory cost (Cost in $) based on order quantity (Quantity in units). She thinks it may be a nonlinear relationship because its two primary components move in opposite directions: (1) order processing cost (costs of procurement personnel, shipping, transportation), which decreases as order quantity increases (due to fewer orders needed), and (2) holding cost (costs of capital, facility, warehouse personnel, equipment), which increases as order quantity increases (due to more inventory held). She has collected monthly inventory costs and order quantities for the past 36 months. A portion of the data is shown in the accompanying table. Cost Quantity 54.4 844 52.1 503 60.2 300 53.8 869 51.7 525 57.1 1030 61.1 288 49.8 577 53.9 490 48.2 588 47.5 606 57.4 325 59.6 1160 58.2 1072 58.7 308 58.1 1140 48.4 627 63.4 214 62.5 207 62.5 1174 62.7 1190 61.2 1166…