Production cost = one time cost + variable costs
Let the number of published books for equal production costs be n.
Using the first method:
production cost = 18,853 + 19.75n
Using the second method:
production cost = 64,853 + 8.25n
Now, we need the two production costs to be equal:
18,853 + 19.75n = 64,853 + 8.25n
Solve for n as follows:
18,853 + 19.75n = 64,853 + 8.25n
19.75n - 8.25n = 64,853 - 18,853
11.5n = 46000
n = 46000/11.5
n = 4000 books
Answer:
y > 6 or y < -3
Step-by-step explanation:
y² - 3y > 18
Complete the square.
y² - 3y + 9/4 > 18 + 9/4
y² - 3y + 9/4 > 81/4
(y - 3/2)² > 81/4
y - 3/2 > 9/2, or y - 3/2 < -9/2
y > 6 or y < -3
Answer:
m∠DAB = 101°
x = 7
y = 12
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
2). Opposite interior angles are equal in measure.
3). Consecutive interior angles are supplementary.
By the first property,
BC ≅ AD
2x + 4 = 3x - 3
3x - 2x = 4 + 3
x = 7
AB ≅ CD
2y + 10 = 3y - 2
3y - 2y = 10 + 2
y = 12
By second property,
m∠ABC = m∠ADC
2z + 15 = 3z - 17
3z - 2z = 15 + 17
z = 32
Therefore, m∠ADC = (3z - 17)°
= 3(32) - 17
= 96 - 17
= 79°
By third property,
m∠ADC + m∠DAB = 180°
79° + m∠DAB = 180°
m∠DAB = 180° - 79°
m∠DAB = 101°
Answer:
4000+50
Step-by-step explanation:
don't know how to explain it this is an edit to btw
Answer:
the answer is positive 1/2
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the initial line. Since the slope of the graphed line is -2, the negative reciprocal is 1/2
