Answer:
27 and 29
Step-by-step explanation:
let A and B the expected numbers
assuming B = A + 2, the problem can be written as follows
¼(A + A + 2) = 14
4*¼(A + A + 2) = 4*14
(A + A + 2) = 56
2A + 2 = 56
A + 1 = 28
A = 27
B = 27 + 2 = 29
Answer:
The solution is (-5, -2).
Step-by-step explanation:
We'll use "elimination by addition and subtraction."
Multiply the second row by -2. Our system
– 7x – 10y = 45
-3x - 5y = 25
becomes:
– 7x – 10y = 45
+6x + 10 y = -50
-------------------------
-x = 5, so that x = -5.
Substituting -5 for x in the second equation results in
-3(-5) - 5y = 25, or 15 - 5y = 25. This reduces to
-5y = 10, so that y must be -2.
The solution is (-5, -2).
Answer:
<em>The rebate should be $220</em>
Step-by-step explanation:
<u>Demand Curve</u>
It's the relationship between price (P) and quantity (Q) demanded a certain product or service.
(a) We need to find the function that relates both magnitudes assuming a linear equation. The equation of a line can be found with the point-point formula:

Two sets of data are given: 100 Blu-ray disc players are sold a week at $600 each. The ordered pair for this condition is (P,Q)=(600,100).
The other point comes from the market survey: The number of units sold will increase by 80 (100+80=180) when the price goes down $40 (600-40=560). The new point is (P,Q)=(560,180)
We set up the equation of the demand

Rearranging

Or

Simplifying

(b) The revenue function is Q times the price

Solving the equation of the demand for P

Thus, the revenue is


(c) To find the optimum value of the revenue, we take the derivative of R and equate to 0

Solving
Q=560 units a week
For which the revenue is


And the price is


The rebate should be $600-$280=$220
Answer:
9
Step-by-step explanation:
y= mx+b
m is slope
b is y-int
Step-by-step explanation:
Let x° be the original angle. Then the supplement angle is (180 - x)° and (180 - x) = 3x + 24.
180 - x = 3x + 24
4x = 156
x = 39
Hence the original angle is 39° and the supplementary angle is 141°.