Since the series has a common ratio then it is a geometric series.
thus it will follow the explicit formula given by:
an=ar^(n-1)
plugging in the values we get:
an=14(1.03)^(n-1)
thus the 12th term will be:
a12=14(1.03)^(12-1)
a12=19.38
Area of the square: 8x7 = 56
Base of triangle: 3+8+3 = 14
Height of triangle: 12-7 = 5
Area of triangle: 1/2(14)(5) = 35
Area of both: 56 + 35 = 91 in.
Answer:
y=-3/2x-1
Step-by-step explanation:
First, we convert the equation into slope-intercept form, so that we can make it easier to find the equation of the perpendicular line. Multiply 2/3 by both x and 3, and you get y-3=2/3x+2. Now we subtract 3 from both sides to get y by itself. We are now left with y=2/3x-1. To find the reciprocal of an equation, you look at the slope (in this case it is 2/3) and you find the opposite reciprocal of it. Basically, we take 2/3 and we flip it and change the sign. The equation we are left with is y=-3/2x-1. We didn't use the x-intercept because it wasn't necessary in this case.
Answer:
1. 
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8.
Step-by-step explanation:
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Therefore, the solutions are 1.
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The answer is 4x^2 - 7x+2
