answer:[The initial term of the sequence can be found by evaluating g(n) at n=1: g(1) = -50 - 15(1) = -65 Next, we determine the common difference by calculating the difference between consecutive terms: g(2) = -50 - 15(2) = -80 g(2) - g(1) = -80 - (-65) = -15 Thus, the common difference is -15. The recursive formula for the sequence is defined as follows, where the current term is based on the previous term and the common difference: begin{cases} g(1) = -65 g(n) = g(n-1) - 15 end{cases}]

answer:The reduced row echelon form (RREF) of the given matrix is: begin{bmatrix} 1 & 0 & 0 & 0 & -frac{89}{90} 0 & 1 & 0 & 0 & -frac{581}{740} 0 & 0 & 1 & 0 & frac{2029}{6660} 0 & 0 & 0 & 1 & -frac{28}{37} end{bmatrix}

answer:Area: A = frac{1}{2} times 1 times 9 times sin left(frac{pi}{60}right) Circumradius: R = frac{sqrt{a^2 + b^2 - 2abcos C}}{sin C} = sqrt{frac{1}{2} left(41-9 cos left(frac{pi}{60}right)right)} csc left(frac{pi}{60}right), where a=1, b=9, and C=frac{pi}{60} Inradius: r = sqrt{frac{(a+b-c)(a-b+c)(-a+b+c)}{2(a+b+c)}} = frac{3 sin left(frac{pi}{120}right) sqrt{frac{20-2 sqrt{82-18 cos left(frac{pi}{60}right)}}{5 sqrt{2}+sqrt{41-9 cos left(frac{pi}{60}right)}}}}{2^{3/4}} Semiperimeter: s = frac{a+b+c}{2} = frac{1+9+sqrt{1^2+9^2-2 times 1 times 9 cos left(frac{pi}{60}right)}}{2} = 5+sqrt{frac{1}{2} left(41-9 cos left(frac{pi}{60}right)right)} The area, circumradius, inradius, and semiperimeter are expressed in terms of the given triangle's side lengths and the included angle.

answer:A financial services company typically has low capital investments and assets, making EBITDA a reasonable proxy for earnings. To assess the valuation, we can calculate the return on capital (value) as 4.60 / 65 = 7.08%. This return may be appropriate considering the absence of depreciation, amortization, and interest payments. However, more information is needed for a precise valuation.