52. Taxes Mississippi state income tax for a single person in 2017was determined by the ruleT(x) =.03x150+.04(x - 5000)350+.05(x - 10,000) if x > 10,000,if 0≤x≤ 5000if 5000< x≤ 10,000where x is the person's taxable income. Find the following func-tion values and interpret your answers. (Data from: www.tax-brackets.org.)(a) T(100)(b) T (7000)(c) T (110,000)

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Answered: 52. Taxes Mississippi state income tax…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose you have a 2.5 grade point average in 3 courses. What is the minimum average you can have in your fourth and fifth courses to ensure your overall grade point average is at least 2.9? Answer: (Round your answer to 2 decimal places.)
The maximum value in this range is 8.48.4 girls. (Round to one decimal place as needed.) The minimum value in this range is 1.71.7 girls. (Round to one decimal place as needed.) Based on the result, is 1 girl in 10 births a significantly low number of girls? Explain. A. Yes, 1 girl is a significantly low number of girls, because 1 girl is below the range of values that are not significant. B. No, 1 girl is not a significantly low number of girls, because 1 girl is within the range of values that are not significant. C. Yes, 1 girl is a significantly low number of girls, because 1 girl is above the range of values that are not significant. D. Not enough information is given.
Jesaki Water Sports incurs the following costs in producing a water ski vests in one day, for 0 < x < 150: ⚫ fixed costs, $341; ⚫ unit production cost, $20 per vest; ⚫ equipment maintenance and repairs, 0.03 x² dollars. Find the minimum average cost of a water ski vest. Round to the nearest cent. $ per vest
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Run the following lines in R: x <- c(8.23, 8.97, 2.72, 1.09, 2.03, 8.07, 8.92, 2.14, 5.6, 2.43, 0.49, 5.8, 5.38, 5.89, 2.31, 5.05, 6.57, 9.21, 9.99, 2.81, 8.86, 9.68, 6.41, 9.36)y <- c(6.7, 6.3, 2, 2.5, 3.4, 2.7, 6.6, 5.3, 7.3, 2.5, 1.9, -0.3, -1, 4, 6.5, 2.5, 0.6, 5.5, 3.6, 1.8, 2.4, 3.2, 6.1, 5.6) Using the varials x and y that you just created, fit a linear model using y as the dependent variable and x as the independent variable and provide the following: What is the equation of the regression line?y^ = + x How many degrees of freedom would need to be used when obtaining a ?p-value associated with the test statistic for the slope parameter?Degrees of Freedom = What is the value of the coefficient of determination?R2 = What is the value of the correlation coefficient?Correlation = Is there a statistically significant relationship between x and y at the α=0.07 significance level? (answer “Yes” or “No” without quotes)YesNo
OHaganBooks.com has been promoting a number of books published by Duffin House. The following table shows the number of books purchased each month from Duffin House for the past 5 months. n(t) 2,000 4.2 - 0.7t n(t) = 300(1.6¹) n(t) = 100(4.1t² - 20.4t + 29.5) = n(t) n(t) Purchase (books) n(t) = Month t (a) Calculate the sum-of-squares error for each of the models. (Round your answers to one decimal place.) 3,000 n(t) 1 + 12(2-¹) n(t) Which of the models best approximates the data? 3,000 1 + 12(2-¹) = = = 1 2,000 4.2 - 0.7t n(t) = 300(1.6¹) n(t) = 100(4.1t² - 20.4t + 29.5) rising falling leveling off something else 2,000 4.2 0.7t 2 1,330 520 520 1,340 rising falling leveling off O something else 3 (b) What do each of the following models predict for the number of new users in the next few months: rising, falling, leveling off, or something else? 3,000 1 + 12(2-¹) 4 n(t) = 300(1.6¹) rising falling leveling off O something else n(t) = 100(4.1t² - 20.4t + 29.5) rising O falling O leveling…

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