The values y (in billions of dollars) of U.S. currency in circulation in the years 2000 through 2007 can be modeled by y = −451 + 444?

 ln t, 10 ≤ t ≤ 17, where t represents the year, with t = 10 corresponding to 2000.† During which year did the value of U.S. currency in circulation exceed $610 billion?

2 Answers

Relevance
  • 1 month ago
    Favorite Answer

    The values y (in billions of dollars) of U.S. currency in circulation in the years 2000 through 2007 can be modeled by y = −451 + 444 * ln t?

    10 ≤ t ≤ 17, where t represents the year, with t = 10 corresponding to 2000.† During which year did the value of U.S. currency in circulation exceed $610 billion?

    ------------------------

    −451 + 444 * ln t = 610

    Add 451 to both sides

    444 * ln t = 1061

    Divide both sides by 444

    ln t = 2.3896396396

    Anti log both sides

    e^(ln t) = e^2.3896396396

    t = e^2.3896396396

    use calculator

    t = 10.9095618605

    Since t = 10 is the year 2000

    During which year did the value of U.S. currency in circulation exceed $610 billion?

    2000 <––––––

  • 1 month ago

    There is no "t" in your function.

Still have questions? Get your answers by asking now.