If you notice, in the sum the terms are 2, -8, 32, -128....
we can always get the "common ratio" of a geometric sequence by dividing the "following term by the previous term", namely like in this case say -8/2, which is -4, so r = -4, and we know the first term is 2.
so, notice, the pattern will then be
Answer:
The answers are that the x-coordinate is 3, the y-coordinate is 4 and it is in quadrant I
Step-by-step explanation:
To find these answers, start by solving the system. We can do this by multiplying the second equation by 2 and adding them together.
8x + 6y = 48
4x - 6y = -12
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12x = 36
x = 3
Next, find the y value by plugging in the x value to either equation and solving.
2x - 3y = -6
2(3) - 3y = -6
6 - 3y = -6
-3y = -12
y = 4
Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)
To get the probability of less than 109.1 cm, the solution is computed by:
z (109.1) = (X-mean)/standard dev
= 109.1 – 108/ 0.6
= 1.1/0.6
=1.83333, look this up in the z table.
P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%
Hannah earns 10% of what's in her account every year.
10% of $80 is $8.
At the end of the first year she has $88.
10% of $88 is 8.8.
88+8.8 is 96.8.
10% of 96.8 is 9.68
96.8 + 9.68 is 106.48
$106.48 is your answer
