She would sell it for $26.60 after the markup.
Answer:
The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Let
x ------> the length of the remaining side
Applying the triangle inequality theorem
1) x+x > 30
2x > 30
x > 15 in
The perimeter is equal to
P=30+2x
<em>Verify each case</em>
1) For P=41.0 in
substitute in the formula of perimeter and solve for x
41.0=30+2x
2x=41.0-30
x=5.5 in
Is not a solution because the value of x must be greater than 15 inches
2) For P=51.2 in
substitute in the formula of perimeter and solve for x
51.2=30+2x
2x=51.2-30
x=10.6 in
Is not a solution because the value of x must be greater than 15 inches
3) For P=72.4 in
substitute in the formula of perimeter and solve for x
72.4=30+2x
2x=72.4-30
x=21.2 in
Could be a solution because the value of x is greater than 15 inches
4) For P=81.2 in
substitute in the formula of perimeter and solve for x
81.2=30+2x
2x=81.2-30
x=25.6 in
Could be a solution because the value of x is greater than 15 inches
therefore
The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in
Answer:
D. All the above are correct
Step-by-step explanation:
An isocost line will be shifted further away from the origin if the total cost increases, if the price of both inputs increases or there is an advance in technology.
An isocost line can be defined as the graphical representation of various combinations of two inputs factors (labor,L and capital, K) which the firm can afford or purchase with a given amount of money.
An isocost line can be expressed mathematically as:
C = w L + r K
Where,
C = cost of production
w = price of labor or wages
L = units of labor
r = price of capital or interest rate
K =units of capital
Isocost is used to determine what combination of factor inputs the firm will choose for production process.
Answer:
x = 4 or x = -3
Step-by-step explanation:
Take square both the sides,
x² - x - 12 = 0
x² - 4x + 3x - 3*4 =0
x*(x - 4) + 3*(x - 4)= 0
(x- 4 )(x+3) =0
x -4 =0 or x + 3 = 0
x = 4 or x = -3
Answer:
-1
Step-by-step explanation:
2y+6=1 -3y
add three to both sides and minus 6 from both sides becasue you want to get y by itself
5y=-5
now both sides by 5
y=-1
