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Let’s check out your problem:

p=(10,000)/(9+4e^(-0.2 t))

p=10,0009+4e−0.2t p=\frac{10,000}{9+4 e^{-0.2 t}}

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Sin, cos, and tan of special anglesright chevron icon

Full solution

Q. p=10,0009+4e−0.2t p=\frac{10,000}{9+4 e^{-0.2 t}}
  1. Identify Function: Identify the given function for pp.p=10,0009+4e−0.2tp = \frac{10,000}{9 + 4e^{-0.2 t}}
  2. Plug in Value: Plug in a value for tt to find pp. Let's say t=0t = 0 for simplicity. p=(10,000)/(9+4e(−0.2×0))p = (10,000) / (9 + 4e^{(-0.2 \times 0)})
  3. Simplify Exponent: Simplify the exponent. e(−0.2×0)=e0e^{(-0.2 \times 0)} = e^0
  4. Exponent Rule: Remember that any number to the power of 00 is 11.e0=1e^0 = 1
  5. Substitute in Equation: Substitute e0e^0 with 11 in the equation.\newlinep=10,0009+4×1p = \frac{10,000}{9 + 4 \times 1}
  6. Multiply Numbers: Multiply 44 by 11. \newlinep=(10,000)/(9+4)p = (10,000) / (9 + 4)
  7. Add Numbers: Add 99 and 44 together.\newlinep=10,00013p = \frac{10,000}{13}
  8. Divide Numbers: Divide 10,00010,000 by 1313.
    p=769.23…p = 769.23\ldots

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