Treat each (time, money) pair as an (x, y) pair, and get the slope of the line:
For Rosita, (5, 128), (7, 164): m = (y2 - y1)/(x2 - x1) = (164 - 128)/(7 - 5) = 18, implying that she earns $18/hr. The y-intercept is calculated as: y = 18x + b, 128 = 18*5 + b, b = $38, meaning that she started with $38. Rosita's equation is y = 18x + 38.
For Garth, (3, 124), (8, 194): m = (194 - 124)/(8 - 3) = 14. For 124 = 14*3 + b, b = $82. Garth's equation is y = 14x + 82
To find out when they will have saved the same amount, both equations would have the same y-value:
18x + 38 = 14x + 82
4x = 44
x = 11 hours
y = 18*11 + 38 = $236 (alternatively, y = 14*11 + 82 = 236)
This means that Rosita and Garth will have both saved $236 after 11 hours of working.
The error.....Kelvin just figured the 60% markdown cost...not the final price
the final price would be : 30.65 - 0.60(30.65) = 30.65 - 18.39 = 12.26
so 12.26 is the final price
or another way to do this is : if it is marked down 60%, then u r actually paying 40%......0.40(30.65) = 12.26
Answer:

Step-by-step explanation:
From the question we are told that:
Height 
Angle of depression 
Angle of Elevation 
Generally the equation for the vertical distance between Emery's distance x and the bottom of the building is mathematically given by
Since the angle of depression and elevation are given as
27 and 23 respectively
Therefore
Emery's view of the 42 ft building is


Therefore Emery's distance x to the base of the building h' is


Generally the Trigonometric equation for Emery's distance x is mathematically given by



Answer: 13 ≥ v - 1
Step-by-step explanation: The equation above represents the situation; Thirteen is at least the difference of a number v and 1
The student's statement about area is incorrect because by joining suitable lines, we can divide the region into 3 rectangles and we can find its area.
Please check the attached figure.
From the figure, we can easily observe that the area of the shaded region = Area of the rectangle A + Area of the rectangle B - Area of the rectangle C.