Answer:
ID
Step-by-step explanation:
<span><span>The price p and quantity x sold of a small flat screen television set obeys the demand equation below.
p= - .14x+280
:
a. How much should be charged for the television set if there are 60 television sets in stock? Round to nearest cent
p = -.14(60) + 280
p = -8.4 + 280
p = $271.60
:
b. What quantity x will maximize revenue?
Rev = qty * price
R(x) = x(-.14x+280)
R(x) -.14x^2 + 280x
The axis of symmetry is the qty for max revenue;x = -b/(2a)
x =
x = + 1000 tv's for max rev
:
What is the maximum revenue?
rev = -.14(1000^2) + 280(1000)
rev = -140000 + 280000
rev = $140,000
:
:
c. What price should be charged in order to maximize revenue?
p = -.14x + 280
p = -.14(1000) + 280
p = -140 + 280
p = $140</span><span>
</span></span>
Answer:
<h2>15°</h2>
Step-by-step explanation:
We know that the central angle of a circle is 360°.
In this case, we have the circle divided into 12 equal parts, so each angle would be also the 12th part of 360°.

Each circular sector has an angle of 30°, and each arc is equal to 30°.
Now, notice that tha angle formed by the two blue cables is an external angle formed by two secants, that means we can use the following relation

Where
is the angle formed by the two blue cables.

Therefore, the angle measures 15°.
Answer:
The two numbers are:
8 and 13
Step-by-step explanation:
a = 2b - 3 Eq. 1
a + b = 21 Eq. 2
Replacing Eq. 1 in Eq. 2:
(2b-3) + b = 21
3b - 3 = 21
3b = 21 + 3
3b = 24
b = 24/3
b = 8
from Eq. 1
a = 2*8 - 3
a = 16 - 3
a = 13
Check:
From Eq. 2:
a + b = 21
13 + 8 = 21