Kevin McInerney: Typeset Math Quiz 9/15

  1. \(x^3-3x^2-10x=0\)
  2. \((1+r)^n\)
  3. \((5.7\times 10^{-8})\times(1.6\times 10^{12}) = 9.12\times 10^4\)
  4. \(\pi L(1-\alpha)R^2=4\pi\sigma T^4R^2\)
  5. \(12 \text{km}\times\frac{0.6\text{mile}}{1 \text{km}}=7.2 \text{mile}\)
    1. \[12 \text{km}\times\frac{0.6\text{mile}}{1\text{km}}=7.2\text {mile}\]
  6. \(4,173,445,346.50\approx 4,200,000,000=4.2\times 10^9\)
  7. \[50\text {m}\times\frac{3.4\times 10^6\text {kg}}{1\text {sec}}\times\frac{10\text{J}}{1\text{kg}\times 1\text{m}}=1.7\text{GW}\]
  8. \($5,000\times (1+0.012)^{30}\approx $7,150\)
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