(c) By working out the second smallest positive solution to the equation Sg x² 29y² = ±1, compute the convergent tg
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- dx converges. Determine the values of p for whichA population of a town grows according to the law of uninhibited growth modeled by the function P(t) = Poekt !! where P is measured in thousands and t is measured in years. If the initial population of this town was 12,000 and it doubles every 8 years, find the growth rate, k. Provide EXACT value for k. Then approximate it to FOUR decimal places. Show all the steps and write the final answer in the space provided. Exact k= Approximate:2. Determine if S dx is convergent or divergent.
- With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t3 − 0.026t2 + 1.6t + 2.2 where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between the following years. (Round your answers to three decimal places.) (a) 1987 and 2008 million per year(b) 2014 and 2026 million per year(c) By working out the second smallest positive solution to the equation 89 x²29y² = ±1, compute the convergent tgWith data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t3 − 0.026t2 + 1.6t + 2.2 where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between the following years. (Round your answers to three decimal places.) (a) 1982 and 2001 (b) 2012 and 2028
- A certain country's GDP (total monetary value of all finished goods and services produced in that country) can beapproximated by g(t) = 6000 – 720e-0.08t billion dollars per year (0If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.2% per year, the balance P grows at the rate given by dP/dt=0.062P. a) Find the function that satisfies the equation. Write it in terms of P0 and 0.062. b) Suppose that $1000is invested. What is the balance after 1year? After 3 years? c) What is the rate of change of the balance after 1 year? After 3 years?evalba te the integral x²4 dx (5) Convergent or Diver gent AR FIVE STAR.With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.000243 - 0.026e? + 1.6t + 2.2 where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between the following years. (Round your answers to three decimal places.) (a) 1980 and 2005 x million per year .728 (b) 2015 and 2025 1.41 1x million per year Need Help? Read ItWith data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t³ - 0.026t2 + 1.6t + 2.2 where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between the following years. (Round your answers to three decimal places.) (a) 1984 and 2009 million per year (b) 2013 and 2020 million per yearWith data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t³ - 0.026t2 + 1.6t + 2.2 where t is the number of years past 1950. Use the model to find the average number of Social Security beneficiaries per year (actual and predicted) between the following years. (Round your answers to three decimal places.) (а) 1980 and 2005 .728 X million per year (b) 2015 and 2025 1.41 million per yearSEE MORE QUESTIONS
