{
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  "lines" : [
    {
      "id" : "0F1BFE18-6CCF-5A8E-965A-3A533BB6F201",
      "source" : "# Continuous growth"
    },
    {
      "id" : "4E2333C5-CC9F-5C97-B868-B198AC064D21",
      "source" : "\/\/ A colony grows continuously at 15% per hour."
    },
    {
      "id" : "6572DFEB-F676-55E8-BA52-2BF12D0B09D7",
      "source" : "start population = 500"
    },
    {
      "id" : "4710364D-5F8C-5C3B-8651-9D91BD6BC16C",
      "source" : "growth rate = 0.15"
    },
    {
      "id" : "026C52C4-88A7-58A7-9166-0195E9AB9C0E",
      "source" : "P(t) = start population*e^(growth rate*t)"
    },
    {
      "id" : "1DEA5C47-C8EC-5240-8087-D4A4A2CF56A2",
      "source" : "hours = 2 in 0 … 24"
    },
    {
      "id" : "71CD2D1C-D544-5465-A667-8CC70F762E77",
      "source" : "P(hours)"
    },
    {
      "id" : "0DA5A1B0-6984-5331-AF27-F36FBB427991",
      "source" : ""
    },
    {
      "id" : "325BCA78-9AE1-58CB-B16D-C1983EEB902B",
      "source" : "# Half-life decay"
    },
    {
      "id" : "7A0C6E30-FB07-5337-84B8-0DF0A414BDFC",
      "source" : "\/\/ Carbon-14 half-life is 5,730 years."
    },
    {
      "id" : "E15A3BE0-1443-5368-BE4E-DDE5CA1A6AED",
      "source" : "start amount = 100 g"
    },
    {
      "id" : "DF9EE82D-0BA0-5B9C-825A-FBC23E83B0BC",
      "source" : "half life = 5730 years"
    },
    {
      "id" : "3F0688CD-60C8-5AB8-BB44-E3F79B2B05DF",
      "source" : "elapsed = 11460 years"
    },
    {
      "id" : "8D528037-7E5B-5103-BF7A-7530F62E9CAF",
      "source" : "half lives = elapsed\/half life"
    },
    {
      "id" : "B57FA9C6-2478-5174-B4D7-87E1448FC7E8",
      "source" : "remaining = start amount*2^(-half lives)"
    },
    {
      "id" : "3AC25EE2-4A70-5636-BCB3-2D3DFD303177",
      "source" : "remaining == start amount*(1\/2)^half lives"
    },
    {
      "id" : "5738410B-F9D1-5CA1-B8C4-9852FA1AA5EC",
      "source" : ""
    },
    {
      "id" : "F4CD94D1-25A5-55DC-8969-E9890BCBD0D6",
      "source" : "# Doubling time"
    },
    {
      "id" : "18EB9D0E-B21F-5EC8-9412-E1A9CB12EA53",
      "source" : "\/\/ Money growing at a yearly rate, compounded once a year. Answers are in years."
    },
    {
      "id" : "406A2539-8F53-5D45-BA3B-96E3CDAEB745",
      "source" : "rate = 7 in 1 … 15"
    },
    {
      "id" : "B757FF2B-3376-5271-876A-8E328BBAE86F",
      "source" : "doubling time = log(2)\/log(1 + rate%)"
    },
    {
      "id" : "097725A7-CCCA-5D92-B660-8F002259765B",
      "source" : "\/\/ The rule of 72 is a quick estimate."
    },
    {
      "id" : "0D88127E-717C-565B-BC79-C5170C1AA0E4",
      "source" : "rule of 72 = 72\/rate"
    }
  ],
  "numberStyle" : {
    "decimal" : ".",
    "grouping" : ",",
    "secondaryGroupSize" : 3
  },
  "title" : "Exponential growth and decay"
}