12.
Hope this helps!
Vote me brainliest
7.5% is 3/40. The equation is y=15250(1-3/40)ˣ=15250(37/40)ˣ.
When x=8 this becomes $8173.42.
27x^3 - 12x factors into
3(9x^3 - 4x) a common factor of three has been taken out.
3x(9x^2 - 4) a common factor of x has been taken out. 3x is not a linear factor.
9x^2 - 4 factors by means of the difference of squares
3x(3x - 2)(3x + 2)
The two linear factors are 3x - 2 and 3x + 2
When:
a = b = 0 we have point (0,0).
a = 0 and b ≠ 0 vertical line segment from (0, -b) to (0, b)
a ≠ 0 and b = 0 horizontal line segment from (-a, 0) to (a, 0)
a ≠ 0 and b ≠ 0 a ≠ b ellipse
a ≠ 0 and b ≠ 0 a = b circle
<span>radius = 27 cm
apothem = 13.5 cm
Since you have an equilateral triangle with a perimeter of 81*sqrt(3), you can just divide the perimeter by 3 to get the length of a side, which is 27*sqrt(3).
We can construct a triangle to get the radius as a right triangle with one leg being 27*sqrt(3)/2 in length and the angles being 60/2 = 30 and 180-90-30 = 60 degrees.
The tangent of 30 degrees is 1/sqrt(3). So the length of the other leg will be 27*sqrt(3)/2 / sqrt(3) = 27/2. And finally, the hypotenuse will be twice that since it's a 30/60/90 triangle for a length of 27. And conveniently, the hypotenuse is the radius we desire. And also, quite conveniently, the apothem is the short leg of the 30/60/90 triangle which is 27/2 = 13.5 cm.</span>
