Jillean contributes a set percentage of her gross pay towards a 401k account and will have a total of $225,634.00 by retirement. Jillean's employer also contributes a set percentage, which will increase her total by $49,438.00. What is the percent increase between the total without Jillean's employer contribution and the total with? Round to the nearest whole percent. 21% 22% 28% 31%

(a) Consider the set = {x € R³ : x. (1,1, 1) = 0}. (i) Describe S geometrically, and use knowledge of the geometrical form of subspaces in R3 to conclude that it is a subspace. (ii) Use the subspace theorem to provide an alternative method to show S is a subspace. (b) Show that the set Q = {A E M2,2 : A is singular} is not a subspace of M2,2.

Solve (j-3)^2=50