tanya683
tanya683 tanya683
  • 20-06-2019
  • Mathematics
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tramserran
tramserran tramserran
  • 20-06-2019

Answer:  b) 18.37

Step-by-step explanation:

Since the intial t-value is 1960 and the final t-value is 1990, then t = 30

[tex]P(30)=\dfrac{100}{1+400\cdot e^{-0.15(30)}}\\\\\\.\quad =\dfrac{100}{1+400\cdot e^{-4.5}}\\\\\\.\quad =\dfrac{100}{1+400(0.0111)}}\\\\\\.\quad =\dfrac{100}{1+4.4436}}\\\\\\.\quad =\dfrac{100}{5.4436}}\\\\\\.\quad =\boxed{18.37}[/tex]

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