Answer:
y = 
Step-by-step explanation:
Given
2x + 5y = 12
Isolate the term in y by subtracting 2x from both sides
5y = 12 - 2x ( divide both sides by 5 )
y = 
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3)
m =
= 3
We are given the y- intercept, that is c = 3
y = 3x + 3 ← equation of line
Answer: -11.47 + 3.7s
-3.7(3.1-s)
-3.7*3.1-3.7*(s)
-11.47 + 3.7s
Answer:
87.5 square inches
Step-by-step explanation:
The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.
Area of the belt knuckle = area of the 4 triangles + area of the rectangle
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 9 inches
height (h) = 2.5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*9*2.5)
= 22.5 inches²
✔️Area of the 2 rectangles with the following dimensions:
base (b) = 4 inches
height (h) = 5 inches
Area of the two triangles = 2(½*b*h)
= 2(½*4*5)
= 20 inches²
✔️Area of the rectangle = l*w
l = 9 inches
w = 5 inches
Area = 9*5 = 45 inches²
✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches
Answer:
The rate of return is 14%
Step-by-step explanation:
The rate of return can be determined by,
RR =
x 100%
where:
RR is the rate of return
is the final amount = $690 - $6 = $684
is the initial amount = $15 x 40 = $ 600
So that,
RR =
x 100%
= 0.14 x 100%
= 14%
Therefore, the rate of return is 14%.