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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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A rectangular prism with integer side lengths has a height of $3$. If the surface area of the prism is equal to $52$, then what
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The given details include: Height of the rectangular prism, h = 3 units, Surface area of the prism, A = 52 sq units. We need to determine the volume of the prism. The volume of a rectangular prism can be calculated using the formula: l = length and b = breadth. Given that the surface area of the prism, A = lb, we have it equal to 52 sq units. Consequently, the volume is 156 cubic units.
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If f(x) = − 5, what is f(8.6)?
zzz [12365]
8.6 = -5
13.6 = 0
Your equation seems to be lacking another value for x, but based on what you've provided, this is accurate.
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26 days ago
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Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4). A. y=x+5 B. y=−14x+5 C. y=5x+1 D.
Svet_ta [12734]
None of the provided options appear to be accurate. The equation resembles y = mx + b, identifying m as the slope and b as the y-intercept. Here, m = -14. Parallel lines maintain the same slope, resulting in the new line's slope of -14. To find the y-intercept, we substitute x = 4 and y = 4 into the equation. Consequently: 4 = (-14)(4) + b. By solving for b, we find b = 60. Therefore, the new line's equation is y = -14x + 60.
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16 days ago
A sequence is defined by mc024-1.jpg, and mc024-2.jpg. What is the seventh term?
AnnZ [12381]
Given data:
a₃ = 9/16
aₓ = -3/4 · aₓ₋₁
Here, x represents the number of terms ('x' can also be referred to as 'n')
To determine the 7th term (a₇):

We know that aₓ = -3/4 · aₓ₋₁
Thus,[ [TAG_10]]a₃ = -3/4 · a₃₋₁
a₃ = -3/4 · a₂
9/16 = -3/4 · a₂
a₂ = 9/16 × -4/3
a₂ = -36/48
a₂ = -3/4

Next,[ [TAG_20]]aₓ = -3/4 · aₓ₋₁
a₄ = -3/4 · a₄₋₁
a₄ = -3/4 · a₃
a₄ = -3/4 · 9/16
a₄ = -27/64
a₄ = -27/64

For a₅,[ [TAG_30]]aₓ = -3/4 · aₓ₋₁
a₅ = -3/4 · a₅₋₁
a₅ = -3/4 · a₄
a₅ = -3/4 × -27/64
a₅ = 81/256

For a₆,[ [TAG_39]]aₓ = -3/4 · aₓ₋₁
a₆ = -3/4 · a₆₋₁
a₆ = -3/4 · a₅
a₆ = -3/4 × 81/256
a₆ = -243/1024

Finally, for a₇,[ [TAG_48]]aₓ = -3/4 · aₓ₋₁
a₇ = -3/4 · a₇₋₁
a₇ = -3/4 · a₆
a₇ = -3/4 × -243/1024
a₇ = 729/4096
3 0
14 days ago
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zzz [12365]

Response:

j = 21 and n = 14

Step-by-step breakdown:

We start with the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

Please consider marking it as the best answer:)

7 0
1 month ago
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