If we then plug in the slope<span> and y intercept into the slope-intercept formula of </span><span>y=mb+b</span><span> where </span><span>m=</span><span> the slope the </span><span>b=</span><span> the y intercept, then </span>
<span>y=mx+b</span><span> becomes</span>
<span>y=0x+<span>(−2)</span></span><span> which simplifies to </span><span>y=−<span>2
</span></span>
As given, Income of Homer and his wife = $60000
Interest earned = $1200.
Adding this to total income, we have total taxable amount = 60000+1200 = $61200
Now, investment in tax deferred savings plan = $ 2500
This amount will be subtracted from total taxable income, so amount becomes = 61200-2500 = $58700
We will also subtract the exemptions and deductions = $12000
Amount becomes = 58700-12000 = $46700
Hence, Net taxable income is $46,700
Answer:
<h2><u>
4 quarters, 10 dimes</u></h2>
Step-by-step explanation:
x + y = 14 --> x = 14 - y
$0.10x + $0.25y = $2.00, or 10x + 25y = 200
- we can plug this value for x from the first equation into the second:
10(14 - y) + 25y = 200
140 - 10y + 25y = 200
140 + 15y = 200
15y = 60
y = 4 --> 4 quarters ($0.25 x 4 = $1.00)
if y = 4, then x = 14 - y --> x = 10 --> 10 dimes (0.10 x 10 = $1.00)
matches the second equation where these add up to $2.00
Answer: 6 pounds of French roast coffee and 14 pounds of Sumatran coffee was used.
Step-by-step explanation:
Let x represent the number of pounds of French roast coffee that should be added in the blend.
Let y represent the number of pounds of Sumatran coffee that should be added in the blend.
The total number of pounds of the mixture made is 20 lb. This means that
x + y = 20
The mixture sells for $8.30 a pound. The total cost of the mixture would be
8.3 × 20 = 166
This means that
9x + 8y = 166 - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
9(20 - y) + 8y = 166
180 - 9y + 8y = 166
- 9y + 8y = 166 - 180
- y = - 14
y = 14
x = 20 - y = 20 - 14
x = 6
Answer:
To calculate the mean, you're multiplying every element by its probability (and summing or integrating these products). Similarly, for the variance you're multiplying the squared difference between every element and the mean by the element's probability. and X = {1, 2, 3}, then Y = {1, 4, 9}.
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<u>PLEASE</u><u> MARK</u><u> ME</u><u> BRAINLIEST</u></h3>
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