You are going to the amusement park with some friends! There are 3 different rides you all want to get to before the park closes
: the kiddy coaster (K).
the swings (S), and the merry-go-round (M). Interesting choices for a group of teenagers, but I promise I'm not judging... too harshly.
You plan on choosing the order of the rides at random. What is the sample space, S. of the possible orders?
the swings (S), and the merry-go-round (M). Interesting choices for a group of teenagers, but I promise I'm not judging... too harshly.
You plan on choosing the order of the rides at random. What is the sample space, S. of the possible orders?
1 answer:
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Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)