According to Playbook The White House is explicitly telling Republicans in Congress that they have leverage when it comes to the debt ceiling.

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  • iridaniotter [she/her]
    ·
    2 years ago

    Assuming the diameter of a coin is a function of its value, if a penny's diameter is 19.05mm and a dollar coin's diameter is 26.49mm (ignore all other coins), what would the diameter of a trillion dollar coin be? I got a surprisingly low number but I was really confused how to go about solving this...

    • TerminalEncounter [she/her]
      ·
      2 years ago

      Assume a linear relationship (why not), price will be x cause want to know the size for a given value, use the two point formula:

      y-y1 = (y2-y1)/(x2-x1) (x-x1)

      y-19.05=(26.49-19.05)/(1.00-0.01)(x-0.01)

      y=(7.44/0.99)x - (7.44/0.99)(0.01)+19.05

      y~= 7.515x + 18.975

      Right away, we can tell that it'll be about 7.5 trillion mm because the little 19 mm added won't make much difference. Which, according to wolframalpha, is about 5.5 times the diameter of the sun.

      Not assuming a linear relationship means you could fit anything you want by the density of continuous functions. It could be any relationship you could possibly want. You could find an infinite number of sinusoidal relationships, an infinite number of any variety of power relationships. Whatever your heart desires. Only one linear relationship though, so that's nice.