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gregori
1 month ago
7

The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion1 in 2015. Find an exponential function to model the reven

ue as a function of years since 2013. What is the continuous percent growth rate, per year, of revenue?
(I have the percent rate, I need the exponential equation in Ae^kt form! )
Mathematics
1 answer:
babunello [11.8K]1 month ago
6 0

r = rate of continuous growth

revenue after t years from 2013 = 54.5×10⁹×e^(rt)

74.6×10⁹ = 54.5×10⁹×e^(2r)

e^(2r) = 74.6/54.5

2r = ln(74.6/54.5)

r = ½ln(74.6/54.5) ≅ 0.15697 = 15.697% per annum

I hope this is useful!

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Answer: The mean and variance of Y are $0.25 and $6.19 respectively.

Step-by-step explanation:

The scenario is as follows: You and a friend participate in a game involving tossing a fair coin.

The sample space for tossing two coins is {TT, HT, TH, HH}

Let Y represent the earnings from one round of the game.

If both faces are heads, you win $1; therefore, P(Y=1)=P(TT)=\dfrac{1}{4}=0.25

You win $6 if both faces are heads, so P(Y=6)=P(HH)=\dfrac{1}{4}=0.25

If the faces do not match, you lose $3 which means P(Y=1)=P(TH, HT)=\dfrac{2}{4}=0.50

To find the expected value to win: E(Y)=\sum_{i=1}^{i=3} y_ip(y_1)

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Thus, the mean of Y: E(Y)= $0.25

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Variance = E[Y^2]-E(Y)^2

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Lonzell said the function shown in the graph is positive on the interval (−,) and negative on the interval (−,−)open negative 5
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Answer:

The segments of the positive graph are located at the coordinates (-5,-4) and (2,5).

In contrast, the negative segment is identified as (-4,2).

Step-by-step explanation:

The positive graph is above the x-axis, while the negative portion lies beneath the y-axis.

Within the interval (-1,5),

The graph appears below the x-axis between (-1,2)

And above it between (2,5).

At this juncture, Lonzell’s assertion is inaccurate.

Within the interval (-5,-1),

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And above it between (-5,4).

At this point, Lonzell's assessment remains incorrect.

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Meanwhile, the negative segment is identified at (-4,2).

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Answer:

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