Answer:
$383.20
Step-by-step explanation:
28.74 ÷ 3 = $9.58 per hour
9.58 x 40 = 383.20
The actual length is 882 ft.
Because the model is 1/100 of the actual length of the ship, the length of the model is
(1/100)*882 = 8.82 ft
Answer: 8.82 ft
Answer:
a. Based on this information, construct a linear demand equation for Yoda vs. Alien T-shirts, and hence obtain the weekly revenue R as a function of the unit price x.
- y = 640 - 80x ⇒ demand equation
- xy = - 80x² + 640x ⇒ weekly revenue
b. The university administration charges the fraternities a weekly fee of $500 for use of the Student Center. Write down the monthly profit P as a function of the unit price x, and hence determine how much the fraternities should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?
Step-by-step explanation:
first, we must determine the slope = (400 - 240) / (3 - 5) = 160 / -2 = -80
the demand equation:
y - 240 = -80 (x - 5)
y = -80x + 400 + 240
y = 640 - 80x
total weekly revenue:
xy = -80x² + 640x
xy - 500 = -80x² + 640x - 500
max. profit ⇒ x = -640 / (2 x -80) = -640 / -160 = 4
maximum weekly profit = -80($4²) + 640($4) - $500 = -$1,280 + $2,560 - $500 = $780
Answer:
16.93 m
Step-by-step explanation:
The triangle for the given scenario is shown below.
From the triangles 
and 
,
AB is the pole height, BC or BD is the distance of either of the wire guys from the foot of pole, and 
or 
is the angle that each either of the guys make with the top of pole.
Let the distance of either of the wire guys from the foot of pole be 
.
Now, consider .
Given: AB = 9 m, BC = , and 
°.
Using tan ratio of the angle C, we get
Therefore, 16.93 m away from the foot of the pole are the guys anchored.
the slope of the given line is 2/3. The slope of a line perpendicular to this given line is the negative reciprocal of 2/3, or -3/2.
The line passes thru (6,4). We can immediately write the desired equation as follows:
y - 4 = (-3/2)(x-6). This could, of course, be written differently:
y = 4 - (3/2)x + 9, or y = (-3/2)x + 9 (in slope-intercept form).
