When a plane intersects a sphere, what two-dimensional shape describes the cross-section?
1 answer:
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Answer:
a) y-intercept is given as (0, -50)
b) Slope = $4 per thousand streams
c) Equation of the straight line that gives the profits is
y = 4x - 50
d) Graph of this function is attached to this solution
e) One would be able to pay the distributor charges after 12,500 streams.
f) One would require 75,012,500 streams to make $300,000
g) If Old Town Road was streamed 143,000,000 times, then it made $571,950.
Step-by-step explanation:
Let the profits be y (In dollars)
The number of streams in be x (in thousands)
The cost of distribution, when x = 0, is $50. That is, when x = 0, y = -50 (since one is spending this money)
And the revenue for a thousand streams is 4$.
So, the equation of the straight line is given as y = mx + c
y = profits,
m = revenue per thousand streams
x = number of streams (in thousand)
c = cost incurred at 0 streams = -50
y = 4x - 50
a) y-intercept is given as (0, -50)
b) Slope = $4 per thousand streams
c) Equation of the straight line that gives the profits is
y = 4x - 50
d) Graph of this function is attached to this solution.
e) After how many streams will you pay for the distributor charges?
This is the x-intercept; one would be able to pay the distributor at the point where the profit is $0.
y = 4x - 50
when y = 0.
0 = 4x - 50
4x = 50
x = (50/4) = 12.5 ( in thousands)
Hence, one would be able to pay the distributor after 12,500 streams.
f) How many streams would it take to profit $300,000?
y = $300,000, x = ?
y = 4x - 50
300,000 = 4x - 50
4x = 300,050
x = (300,050/4) = 75,012.5 thousand streams = 75,012,500 streams.
g) How much did Old town road make if it was streamed 143,000,000 times.
143,000,000 streams = 143,000 thousand streams
So, we require the profits, y, for number of streams, x = 143,000
y = 4x - 50
y = (4×143000) - 50 = $571,950
Hope this Helps!!!
