Answer:
D
Step-by-step explanation:
as we can easily see, the x-coordinates of all points increased by 7.
so, we need a solution with "x+7". that eliminates B and C.
with that transition (glide) the triangle moved to the right into the 4th quadrant.
and now, as a second step, it needs to move up, above the x-axis, into the 1st quadrant.
and that is a reflection across the x-axis.
a reflection across the y axis would bring it back into the 3rd quadrant, where it started.
so, it is D.
Answer: x=8
Step-by-step explanation:
the sum of the interior angles of a quadrilateral is 360 (number of sides-2 * 180)
so
Based on the information, Christian would have $5525.5 of an annuity.
<h3>How to calculate the annuity?</h3>
According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12
Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of the annuity.
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JKM = M + L
15x - 48 = 40 + 5x + 12
10x - 48 = 52
10x = 100
x = 10
JKM = 15(10) - 48 = 102
180 = JKM + MKL
180 = 102 + MKL
MKL = 180 - 102 = 78
Answer: So, the probability will be
Step-by-step explanation:
Since we have given that
Number of blue balls =30
Number of red balls = 40
Number of white balls = 30
Since there are 100 balls in total ,
As we have given that there is no white ball chosen.
So, only 70 balls are left with us , from which we choose a blue ball
So, the probability will be
