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Homework, Page 331

Homework, Page 331. Find the exact solution algebraically, and check by substituting into the original equation. 1. . Homework, Page 331. Find the exact solution algebraically, and check by substituting into the original equation. 5. . Homework, Page 331.

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Homework, Page 331

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  1. Homework, Page 331 Find the exact solution algebraically, and check by substituting into the original equation. 1.

  2. Homework, Page 331 Find the exact solution algebraically, and check by substituting into the original equation. 5.

  3. Homework, Page 331 Find the exact solution algebraically, and check by substituting into the original equation. 9.

  4. Homework, Page 331 Solve each equation algebraically, and check by substituting into the original equation. 13.

  5. Homework, Page 331 Solve each equation algebraically, and check by substituting into the original equation. 17.

  6. Homework, Page 331 State the domain of each function. Match the function with its graph. 21.

  7. Homework, Page 331 Solve each equation, and support the solution by a second method. 25.

  8. Homework, Page 331 Solve each equation, and support the solution by a second method. 29.

  9. Homework, Page 331 Solve each equation, and support the solution by a second method. 29.

  10. Homework, Page 331 Solve each equation, and support the solution by a second method. 33.

  11. Homework, Page 331 Solve each equation, and support the solution by a second method. 33.

  12. Homework, Page 331 Solve each equation, and support the solution by a second method. 37.

  13. Homework, Page 331 Determine by how many orders of magnitude the quantities differ. 41. An earthquake rated 7 on the Richter scale and one rated 5.5

  14. Homework, Page 331 45. How many times more severe was the 1978 Mexico City earthquake (R = 7.9) than the 1994 Los Angeles earthquake (R = 6.6)?

  15. Homework, Page 331 49. A cup of coffee has cooled from 92ºC to 50ºC in 12 minutes in a room at 22ºC. How long will it take the coffee to cool to 30ºC?

  16. Homework, Page 331 53. The use of penicillin became so widespread in the 1980s in Hungary that it became practically useless against common sinus and ear infections. Now the use of more efficient antibiotics has caused a decline in penicillin resistance. A. The data pairs are approximately (1, 11), (8, 6), (15, 4.8) (16, 4) and (17, 2.5) where t = 1 is 1976. construct a scatter plot of the data. B. Discuss whether the bar graph in the text or the scatter plot you did best represents the data and why.

  17. Homework, Page 331 53. A. The data pairs are approximately (1, 11), (8, 6), (15, 4.8) (16, 4) and (17, 2.5) where t = 1 is 1976. construct a scatter plot of the data.

  18. Homework, Page 331 53. B. Discuss whether the bar graph in the text or the scatter plot you did best represents the data and why. The scatter plot is a better representation because it more accurately shows the time interval between data points, giving a better sense of the plummeting use in the early 1990s.

  19. Homework, Page 331 Data pairs are given. Determine whether a linear, logarithmic, exponential, or power regression equation is the best model for the data. Explain your choice, supporting it with tables and graphs. 57. From the graphs, it is apparent that the graph of the exponential regression equation most closely fits the data. The table shows the graph passing through each data point.

  20. Homework, Page 331 Solve the problem without using a calculator. 61. Solve

  21. Homework, Page 331 Solve the equation or inequality. 73.

  22. Homework, Page 331 Solve the equation or inequality. 77.

  23. 3.6 Mathematics of Finance

  24. What you’ll learn about • Interest Compounded Annually • Interest Compounded n Times per Year • Interest Compounded Continuously • Annual Percentage Yield • Annuities – Future Value • Loans and Mortgages – Present Value … and why The mathematics of finance is the science of letting your money work for you – valuable information indeed!

  25. Leading Questions When financial institutions compound interest, they calculate the interest due and credit it to the account. An annuity is a sequence of equal periodic payments. Banks offer the highest interest they are able, while still making money.

  26. Interest Compounded Annually

  27. Interest Compounded n Times per Year

  28. Example Compounding Monthly Suppose Paul invests $400 at 8% annual interest compounded monthly. Find the value of the investment after 5 years.

  29. Continuously Compounded Interest

  30. Example Compounding Continuously Suppose Paul invests $400 at 8% annual interest compounded continuously. Find the value of his investment after 5 years.

  31. Annual Percentage Yield A common basis for comparing investments is the annual percentage yield (APY) – the percentage rate that, compounded annually, would yield the same return as the given interest rate with the given compounding period.

  32. Example Computing Annual Percentage Yield Meredith invests $3000 with Frederick Bank at 4.65% annual interest compounded quarterly. What is the equivalent APY?

  33. Future Value of an Annuity

  34. Example Computing Future Value of an Annuity Andrew contributes $50 per month into the Hoffbrau Fund that earns 15.5% annual interest. What is the value of his investment after 20 years?

  35. Example Computing Future Value of an Annuity Diego contributes to a Commercial National money market account that earns 4.5% annual interest. What should his monthly payment be if he wants to accumulate $120,000 in 30 years?

  36. Present Value of an Annuity

  37. Example Computing Present Value of an Annuity An $86,000 mortgage for 30 years at 12% APR requires monthly payments of $884.61. Suppose you decide to make monthly payments of $1,050.00 a. When would the mortgage be completely paid?

  38. Example Computing Present Value of an Annuity An $86,000 mortgage for 30 years at 12% APR requires monthly payments of $884.61. Suppose you decide to make monthly payments of $1,050.00 b. How much would you save compared to the original plan?

  39. Following Questions Exponential and logarithmic functions are inverse functions. Logistic functions are only bounded above. Logarithmic functions grow very rapidly. Exponential functions grow very rapidly. Many exponential and logarithmic equations may be solved by graphing. I need to understand the mathematics of finance so I can better manage my money.

  40. Homework • Review Section 3.6 • Page 341, Exercises: 1 – 69 (EOO), 19 • Quiz next time

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