Answer:
569.49$
Step-by-step explanation:
7.25% = .0725
530.99 x 0.725 = 38.50
530.99$ + 38.50$
569.49$
Answer:
y -1 = 2(x -3)
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx +b . . . . line with slope m and y-intercept b
y = 2x +3 . . . . . line with slope 2 and y-intercept 3
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A parallel line will have the same slope. Since you are given a point, it is convenient to use the point-slope form for the equation you want:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -1 = 2(x -3) . . . . . . line with slope 2 through point (3, 1)
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<em>Additional comment</em>
If you want the slope-intercept form you can solve for y:
y = 2(x -3) +1 = 2x -6 +1
y = 2x -5 . . . . . slope-intercept form of the parallel line
Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a + bx + c = 0, where a 
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = 
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are 
and 
= 
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
= 
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Statement Reason
1) 4x + 5 = 17 Given
2) 4x + 5 - 5 = 17 - 5 Subtraction property of equality
3) 4x = 12 Simplifying
4) 4x/4 = 12/4 Division property of equality
5) x = 3 Simplifying
