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Kruka [31]
4 years ago
15

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you

have 10mg of caffeine?
Mathematics
1 answer:
uysha [10]4 years ago
3 0

Answer:

  19.44 hours, about 19 hours 26 minutes

Step-by-step explanation:

The exponential equation that describes your caffeine level can be written as ...

  c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg

We want to find t for c(t) = 10, so ...

  10 = 120(0.88^t)

  10/120 = 0.88^t . . . . . . . divide by 120

  log(1/12) = t·log(0.88) . . . take logarithms

  t = log(1/12)/log(0.88) ≈ 19.4386

It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.

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The complete answer is explained below.

Step-by-step explanation:

The problem is demanding to simply determine the number of years each color light would last.

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Learn more about conversions from brainly.com/question/402716

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8 0
3 years ago
What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of −8? an = 2(−8)n −
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Hello,

The question is
<span>"What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of −8?"

It is a geometric sequence =>U(2)=U(1)*r==>-8=2*r ==>r=-4

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