The way you find profit is to subtract the revenue and the cost
Profit = Revenue - Cost
The revenue is the amount of money coming in, the cost is the amount of money going out. The goal of course is to have the revenue larger than the cost so that the profit is positive.
So the equation given is
P = 7.5n - (2.25n+15)
and its in the form
P = R - C
where...
R = 7.5n is the revenue equation
C = 2.25n+15 is the cost equation
Focus on the revenue equation
R = 7.5n
which is the same as
R = 7.50*n
This tells us that Sandra pulls in a total of 7.50*n dollars where n is some positive whole number. It represents the number of necklaces sold. For example, if she sold n = 10 necklaces, then
R = 7.50*n
R = 7.50*10
R = 750
meaning that Sandra has made $750 in revenue
As you can see above, the revenue is computed by multiplying the price per necklace ($7.50) by the number of necklaces sold (n) to get R = 7.50*n
So that's why the answer is $7.50
Note: The 2.25 is part of the cost equation. This is known as the variable cost. It is the cost to make one necklace ignoring the fixed cost (eg: rent). The variable cost often doesn't stay the same, but algebra textbooks often simplify this aspect.
To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1
In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)
Now we can use the point-slope formula:
y - y1 = m(x - x1)
y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3
In order to make 3x - y = 6 in slope intercept form, we must isolate y.
- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6
There is no number I can think of that would make the statement untrue.
The result of this when you subtract 83x from both sides leaves you with P = Q.
Unless you know differently, the equation says that P must equal Q no matter what x is. If there is such a condition, it is not obvious.
Answer:
90.
Step-by-step explanation:
7m - 3 = 53
m would be 8 because 56 - 3 = 53.
11m + 2 equals 90 because 11 times 8 (8 is m) is 88, which added by two is 90.
Answer:
The hole is at (5,7)
Step-by-step explanation:
x^2 − 3x − 10
-------------------
x−5
Factor the numerator
(x-5)(x+2)
-------------------
x−5
There is a hole at x=5 since it will cancel in the numerator and the denominator
f(x) = x+2 and letting x = 5
f(5) = 5+2
The hole is at (5,7)
