Answer:
- $70
- y = 25 + 0.9x
- $250
Step-by-step explanation:
1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be
$45 +25 = $70
2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...
y = 25 + 0.90x
3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.
If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.
x = 25 +0.9x . . . . . x is the spending level at which there is no advantage
0.1x = 25 . . . . . . . . subtract 0.9x
25/0.1 = x = 250 . . . divide by 0.1
Answer:
-25 and 2
Step-by-step explanation:
x + y = -23
xy = 50, so y = 50 /x
.
x + 50/x =-23, x^2 +23x - 50 = (x-2)(x+25)
so 2 and -25
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Answer:
y = 1/3x - 1
Step-by-step explanation:
Given the slope of 1/3, and the point (-3, -2): we can plug these values into the slope-intercept form, y = mx + b where:
m = slope
b = y-coordinate of the y-intercept, (0, <em>b</em>)
y = mx + b
-2 = 1/3(-3) + b
-2 = -1 + b
Add 1 to both sides to solve for b:
-2 + 1 = -1 + 1 + b
-1 = b
The y-intercept is b = -1.
Therefore, given the slope, m = 1/3, and y-intercept, b = -1:
the linear equation in slope-intercept form is:
y = 1/3x - 1
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Answer:
A, D, E
Step-by-step explanation:
A) 32/3 x 9/10 = 96/10 = 9.6
D) 1/8 x 32/3 = 4/3 = 1.33
E) 2/3 x 3/5 = 2/5 = 0.4
