Ased on this chart, what is the marginal revenue, in dollars, at quantity five jackets?
2 answers:
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Answer: P(t) = 1.25.sin(.t) + 5.65
Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:
y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D
where:
A is amplitude A=|A|
B is related to the period by: T =
C is the phase shift or horizontal shift:
D is the vertical shift
In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.
<u>Amplitude</u>:
a =
At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:
a =
a = 1.25
<u>b</u>
A time period for Pluto is T=66 years:
66 =
b =
<u>Vertical</u> <u>Shift</u>
It can be calculated as:
d =
d =
d = 5.65
Knowing a, b and d, substitute in the equivalent positions and find P(t).
P(t) = a.sin(b.t) + d
P(t) = 1.25.sin(.t) + 5.65
The Pluto's distance from the sun as a function of time is
P(t) = 1.25.sin(.t) + 5.65
Answer:
70
Step-by-step explanation:
<u>Basic Concept: Geometry</u>
<u>Formula:</u>
<u>Area of a polygon = </u><u></u>
where p = perimeter and a = apothem
In this problem we are given the area and the apothem and we need to find the perimeter
To do so we want to plug what we are given into the formula and solve for the missing piece.
We are given the area (350) and the apothem (10)
So in the formula we would plug in 350 for the area and 10 for "a"
We would then have
<u>Basic Concept: Algebra</u>
Now we use basic algebra to solve for p (perimeter)
step 1 multiply each side by 2
now we have 700 = 10p
Step 2 divide each side by 10
700/10=70
10p/10=p
we're left with p = 70
So we can conclude that the perimeter is equal to 70