<h3>Answer: Choice B) </h3><h3>-6x - 2y = 12</h3>
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Explanation:
The x intercept is (-2,0) which is where the graph crosses the x axis.
The y intercept is (0,-6) which is where the graph crosses the y axis.
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Find the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (-6-0)/(0-(-2))
m = (-6-0)/(0+2)
m = -6/2
m = -3
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The y intercept (0,-6) leads to b = -6
Both m = -3 and b = -6 plug into y = mx+b to get
y = mx+b
y = -3x+(-6)
y = -3x-6
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Now add 3x to both sides
y = -3x-6
y+3x = -3x-6+3x
3x+y = -6
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Lastly, multiply both sides by -2 so that the "-6" on the right hand side turns into "12" (each answer choice has 12 on the right hand side)
3x+y = -6
-2(3x+y) = -2(-6)
-2(3x)-2(y) = 12
-6x-2y = 12
which is what choice B shows.
DoE studies, for example do not require control group, since they usually involve models in which the number of variables are substantially smaller than the number of experiments. The DoE analysis provides a description model that shows how the responses or output variables depend on the factor settings or input variables. As long as the unknowns are substantially less than the number of equations, there is very minimal risk of over-fitting.
Given:
depreciation rate: 18%
Value of the car : 20,000
Age of the car : 4 years.
The depreciation is based on the current value of the car. Therefore, the amount of depreciation varies.
<span>
<span>
</span><span><span>
yr Beginning Value Dep. Rate Depreciation Ending Value
</span>
<span>
1
<span> 20,000.00 </span>18%
<span> 3,600.00 </span>
<span> 16,400.00
</span>
</span>
<span>
2
<span> 16,400.00 </span>18%
<span> 2,952.00 </span>
<span> 13,448.00
</span>
</span>
<span>
3
<span> 13,448.00 </span>18%
<span> 2,420.64 </span>
<span> 11,027.36
</span>
</span>
<span>
4
<span> 11,027.36 </span>18%
<span> 1,984.92 </span>
<span> 9,042.44
</span>
</span></span></span>
The current value of a car bought 4 years ago is 9,042.44
Beginning value : purchased amount on 1st year. then, ending balance of the previous year from 2nd year onwards.
Depreciation : Beginning value * depreciation rate
Ending value : Beginning value - depreciation
Answer:
£84
Step-by-step explanation:
lets write an equation.
3x=36
x=12
Than find the "4" part
4x=y
y=48
Than sum
48+36=£84