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please answer 1-4 Problem Khuyen writes an entrepreneurship blog about Asian American businesses. Based on recent growth and market trends, she predicts revenue from her
please answer 1-4
Problem Khuyen writes an entrepreneurship blog about Asian American businesses. Based on recent growth and market trends, she predicts revenue from her blog will grow according to this model: S=60,000(1.03)2t where S is the yearly revenue in dollars and t is the number of years from now. Use the model to answer the following questions. Round answers to the nearest tenth of a year (for time) or to the nearest dollar. a) In how many years will revenue reach 100,000 dollars? b) What will the revenue be 3 years from now? c) In how many years will the revenue double? 2. A national fast-food company has just analyzed the effect of the latest sales promotion to get more people to buy milkshakes. It has determined that the sales for its milkshakes is given by S=305,000e0.4x, where S is the number of milkshakes sold and x is the number of weeks that have passed since the end of the sales promotion. a) What will the sales be 2 weeks after the end of the promotion? Round to the nearest milkshake b) How many weeks after the end of the promotion will sales drop below 30,000 , if no new campaign is started? Round to the nearest tenth of a week (1 decimal place). 3. Red wigglers are a type of worm used in organic composting. They can be raised in plastic bins inside. 1000 red wigglers sell for $50 on Amazon. Tad is starting a red-wiggler business. Tad currently has 2000 worms and the population is increasing by 35% each week. a) Assuming that growth is exponential (with natural base e), find the function that represents the population P in t weeks. b) In how many weeks will the population triple in size? Round to the nearest tenth of a week. c) Tad wants to earn $8000 to pay for tuition and have 4000 worms left for breeding. Assume they already have all the supplies or can get them for free, so they have no costs. In how many weeks would they have enough worms to do this? Round to the nearest tenth of a week. 4. In order to preserve the quality of topsoil, zucchini farmers are converting from synthetic fertilizers to using cover crops as mulch. In one region, originally 80,000 pounds of fertilizer was being used. This amount is now decreasing 7% per year. a) Assuming that decrease is exponential (with natural base e ), find the function f(t) that represents the amount of fertilizer used in t years. b) In how many years will the amount of pesticide used be half of the current amount? Round to the nearest tenth of a year. c) Based on this model, in how many years will the amount of pesticide used be 10% of the current amount? Round to the nearest tenth of a year Step by Step Solution
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