As she gave out the reds in groups of 13 and the blues in sets of 20, our answer has to be divisible by both of these!
think of it like finding the lowest common denominator for a fraction!
in this case, the lowest number both go into is 260 (13X20)
Radius of a circle: r = 2 ft
Central angle: α = 5 π /3 = 300°
Arc Length = 2 · 2 · π · 300/360 = 2 · 2 · 3.14 · 5/6 = 10.4666 ft ≈ 10.5 ft
Answer:
C ) 10.5 ft
Answer:
$300 was the regular price of the sofa.
Step-by-step explanation:
If $219 is 27% less than the regular price, then it represents 73% of the regular price.
Regular price = r.
r/1 x 73/100 = $219. Reverse this to find that $219/1 divided by 73/100 = r.
To divide fractions, reverse the second fraction and MULTIPLY:
$219/1 x 100/73 = 21900/73 = 300.
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
