EXPONENTIAL problems. Quantitative reasoning and technological literacy class

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file attached with info. you need to complete the answers in a separate word document. everything you need for this assignment is attached in the file of instructions. Just type the answers to the questions with their labels

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DIRECTIONS: Enter your answers in a blank Word document. Your file name should be something like "Assignment 1". Example: NAME(S): Adam Smith, SECTION NUMBER: LSP 120-101. Label each answer. Example: 1a), 1b) etc, 1. a. A ticket to the Blink 182 concert at Metro was marked up by 95.5%. If the original price was $26, what was the final marked up price? b. On November 14, 2016, one share of Apple Inc. stock cost $105.71. On March 29, 2017, the stock closed 36.3% higher than the price on November 14th. What was the cost of one share of Apple Inc. stock on March 29th? 2. The burning of fossil fuels (oil, coal, natural gas) releases carbon dioxide into the atmosphere. Carbon dioxide is known as a greenhouse gas because it tends to trap heat in the atmosphere, causing global warming. In 2015, the United States’ Carbon dioxide emissions was 17 tCO₂/capita. In comparison, in 2015 China emitted 7.5 tCO₂/capita in to the atmosphere. Even though the US emissions per capita are higher than China’s emissions, US emissions are decreasing at an average rate of 0.7% per year, while China’s rate is increasing at 6% per year. Assuming these emission rates continued determine the year when China will exceed US in carbon emissions per capita? 3. In order to understand the prehistory of the Hawaiian island of Lana'i better, anthropologists Maria Sweeney, Melinda Allen, and Boyd Dixon used radiocarbon dating on charcoal found in an ancient dwelling site, the Kaunolu Village National Historic Landmark, the largest archeological complex on the island. In one of their samples, they found that approximately 94% of the original carbon 14 remained. Using the fact that Carbon 14 decays by 1.202% every 100 years, determine the approximate age of this sample. In your word document, paste the Excel table you made to come up with your answer. Hulopoe Beach on Lana'i Copyright 1998 B. David Cathell, Phoenix, AZ Relative/Percentage Change 𝑅𝑒𝑙𝑎𝑡𝑖𝑣𝑒 𝐶ℎ𝑎𝑛𝑔𝑒 = 𝐴𝑏𝑠𝑜𝑙𝑢𝑡𝑒 𝐶ℎ𝑎𝑛𝑔𝑒 𝑅𝑒𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑉𝑎𝑙𝑢𝑒 = (𝑛𝑒𝑤 𝑣𝑎𝑙𝑢𝑒−𝑟𝑒𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑣𝑎𝑙𝑢𝑒) 𝑟𝑒𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑣𝑎𝑙𝑢𝑒 For communication purposes, we convert relative change, which is a fraction (converted to a decimal number) to a percentage (percentage change). The following are three ways to convert a fraction (decimal number) to a percentage: • • • Move the decimal place to the right two places Multiply by 100% Use the button in Excel (which is the same as ) For this course, we will generally show percentages formatted to two (2) decimal places (unless stated otherwise). 4. Chicken Bacteria: The information given below was found on the label of a package of Chicken. Bacteria Count on Chicken (per square centimeter when refrigerated at 40 F) Day Bacteria Condition 0 360 OK 1 5,760 OK 2 92,160 Fair 3 1,474,560 Poor 4 23,592,960 Odor 5 377,487,360 Slime a. By using the percentage change formula above, show that the above data is exponential. What is the percentage increase in bacteria each day? b. It is also noted on the label that at 40° F, the bacteria double in number every 6 hours. Make a new table showing the bacteria count every 6 hours. To get you started, your table should look like this: Hour 0 6 12 18 24 30 Bacteria 360 You should continue your “hour” column to 120 hours. Paste your Excel table in your word document. c. What is the percentage increase in bacteria every six hours? 5. In 2016, the number of African elephants was 352,271 but that number was decreasing 8% a year due to poaching and loss of habitat. a. How many African elephants will there be in 2021 if the rate continues? Show either your table or your calculation. b. We can assume that when there is only 1 elephant left on earth, extinction has taken place. How many years will it take for the elephant population to become extinct at this rate? Use logs and round answer to the nearest tenth. 6. In 2010, the 2009 populations and projected population rates were released for Russia and Ethiopia. The population of Russia in 2009 was 140.9 million; the population of Ethiopia was 82.8 million. Russia is decreasing in population by approximately 0.4% annually; the population of Ethiopia is growing at 2.6%. Using logs and letting x be the number of years since 2009, answer the following questions. Round both answers to the nearest tenth. a. How long, at the above rates, will it take for the population of Ethiopia to double? b. How long, at the above rates, will it take for the population of Russia to reach 125 million?
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