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For the following exercises, use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation
What is the initial population of fish?
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- For the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constant rate of 2,500 per year for 5 years. What is the output in the year 12 years from the onset of the model?arrow_forwardFor the following exercises, use this scenario: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. To the nearest hour, what is the half-life of the drug?arrow_forwardFor the following exercises, use this scenario: A doctor prescribes 300 milligrams of a therapeutic drug that decays by about 17 each hour. To the nearest minute, what is the half-life of the drug?arrow_forward
- For the following exercises, use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation P(t)=10001+9e0.6t . What is the carrying capacity for the fish population? Justify your answer using the graph of P .arrow_forwardFor the following exercises, use this scenario: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. Using the model found in the previous exercise, find f (10) and interpret the result. Round to the nearest hundredth.arrow_forwardFor the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were afflicted. When will the output reach 0?arrow_forward
- For the following exercises, determine whether the equation represents continuous growth, continuous decay, or neither. Explain. Suppose an investment account is opened with an initial deposit of 12,000 earning 7.2 interest compounded continuously. How much will the account be worth after 30 years?arrow_forwardFor the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. The half-life of Erbium-165 is 10.4 hours. What is the hourly decay rate? Express the decimal result to four significant digits and the percentage to two significant digits.arrow_forwardFor the following exercises, use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation P(t)=10001+9e0.6t . To the nearest tenth, what is the doubling time for the fish population?arrow_forward
- For the following exercises, refer to Table 11. Use the LOGISTIC regression option to find a logistic growth model of the form y=c1+aebx that best fits the data in the table.arrow_forwardFor the following exercises, solve for the indicated value, and graph the situation showing the solution point. An account with an initial deposit of 6,500 earns 7.25 annual interest, compounded continuously. How much will the account be worth after 20 years?arrow_forwardFor the following exercises, consider this scenario: A town has an initial population of 75,000. It grows at a constant rate of 2,500 per year for 5 years. Find a reasonable domain and range for the function P.arrow_forward