The answer correct is C.
We can use the linear equation y=mx+b to help. y is the dependent variable, m is slope, x is the independent variable, and b is the y intercept.
In this case, the values of x and y were not given, so we still have y=mx+b. We can substitute 9/4 for m and -14 for b to get y=9/4x-15, which is C.
Let's Simplify X to equal 1 by dividing by 100. then we divide 420 by 100 to get 4.2, so y=4.2 when x=1, we then multiply by each by 11.
y = 46.2
x = 11
The question is incomplete. Here is the complete question.
Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -
x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answer: L = 1; W = 9/4; A = 2.25;
Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:
A = x.y
A = x(-
)
A = -
To maximize, we have to differentiate the equation:
= 
(-)
= -3x + 3
The critical point is:
= 0
-3x + 3 = 0
x = 1
Substituing:
y = -x + 3
y = -.1 + 3
y = 9/4
So, the measurements are x = L = 1 and y = W = 9/4
The maximum area is:
A = 1 . 9/4
A = 9/4
A = 2.25
Answer:
The total cost of a bicycle after the tax = $900.8
Step-by-step explanation:
Given
- The cost of a bicycle before tax = 837.95 (let say in $)
To determine
The total cost of the bicycle with a sales tax include
The tax amount can be calculated by multiplying Sales tax i.e. 0.075 with the cost of bicycle before tax i.e. 837.95.
Thus,
Tax amount = 7.5% × 837.95
= 0.075 × 837.95
= $62.85
Thus, the tax amount is: $62.85
Total cost after the tax can be calculated by adding the Tax amount and the cost before tax.
Therefore,
The total cost of a bicycle after the tax = $62.85 + $837.95
= $900.8
Hence, the total cost of a bicycle after the tax = $900.8
