A quantity with an initial value of 140 decays continuously at a rate of 4% per decade. What is the value of the quantity after 98 years, to the nearest hundredth?
(pls answer)

Respuesta :

9514 1404 393

Answer:

  93.84

Step-by-step explanation:

The exponential function will be of the form ...

  q = a×b^t

where 'a' is the initial quantity and b is the growth factor per time period t.

If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...

  q = 140×(1 -4%)^t

  q = 140×0.96^t

98 years is 9.8 decades, so the quantity q remaining will be ...

  q = 140×0.96^9.8 ≈ 93.84

The quantity remaining will be 93.84 after 98 years.

Answer:

94.6

Step-by-step explanation:

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