Five eighths of people you invite to a party show up, as do six people who were not directly invited. If a total of 41 people sh
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Step-by-step explanation:
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Answer:
0 < t <
After 1.67 days the stocks would be sold out.
Step-by-step explanation:
The price of a certain computer stock after t days is modeled by
p(t) = 100 + 20t - 6t²
Now we will take the derivative of the given function and equate it to zero to find the critical points,
p'(t) = 20 - 12t = 0
t =
t = days
Therefore, there are two intervals in which the given function is defined
(0, ) and (
, ∞)
For the interval (0, ),
p'(1) = 20 - 12(1) = 20
For the interval (, ∞),
p'(2) = 20 - 12(2) = -4
Positive value of p'(t) in the interval (0, ) indicates that the function is increasing.
0 < t <
Since at the point t = 1.67 days curve is showing the maximum, so the stocks should be sold after 1.67 days.
The point-slope form of the equation of a line is
where
is a point on the line, and
is the slope of the line.
We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.
The slope of the line that passes through points
and 
is
Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.
Now we use the point-slope formula with point 1 and the slope we found just above.
where
is a point on the line, and
is the slope of the line.
We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.
The slope of the line that passes through points
is
Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.
Now we use the point-slope formula with point 1 and the slope we found just above.