Find the orthogonal projection of v ⃗ = [1,-22,4] onto the subspace v of r^3 spanned by x = [0,4,-3] and y= [0,-3,-4]
note that the two vectors of x and y are orthogonal to each other
projec v^(v ⃗) = [answer, answer, answer]

Tabby sells clothing at a retail store, and she earns a commission of 6.25% on all items she sells. last week she sold a pair of jeans for $32.50, a skirt for $18.95, and 2 blouses for $14.95 each. what was tabby's total commission? a $4.15 b $5.08 c $81.35 d $348.60

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

If x-1 and x+3 are the factors of x3+10x2+ax+b find a and b