Determine which of the following subsets of r 3 are subspaces. briefly explain. i) the set s1 of vectors (x, y, z) ∈ r 3 such that xyz = 0 ii) the set s2 of vectors (x, y, z) ∈ r 3 such that x + y + z = 0 iii) the set s1 of vectors (x, y, z) ∈ r 3 such that y 2 + z 2 = 0 iv) the set s1 of vectors (x, y, z) ∈ r 3 such that y 2 − z 2 = 0

Aproject currently generates sales of $14 million, variable costs equal 50% of sales, and fixed costs are $2.8 million. the firm’s tax rate is 40%. assume all sales and expenses are cash items. (a). what are the effects on cash flow, if sales increase from $14 million to $15.4 million? (input the amount as positive value. enter your answer in dollars not in (b) what are the effects on cash flow, if variable costs increase to 60% of sales? (input the amount as positive value. enter your answers in dollars not in millions). cash flow (increase or decrease) by $

Powell company began the 2018 accounting period with $40,000 cash, $86,000 inventory, $60,000 common stock, and $66,000 retained earnings. during 2018, powell experienced the following events: sold merchandise costing $58,000 for $99,500 on account to prentise furniture store. delivered the goods to prentise under terms fob destination. freight costs were $900 cash. received returned goods from prentise. the goods cost powell $4,000 and were sold to prentise for $5,900. granted prentise a $3,000 allowance for damaged goods that prentise agreed to keep. collected partial payment of $81,000 cash from accounts receivable. required record the events in a statements model shown below. prepare an income statement, a balance sheet, and a statement of cash flows. why would prentise agree to keep the damaged goods?

How do the percentages of the 65 customer satisfaction ratings in that actually fall into the intervals [formula62.mml ± s], [formula62.mml ± 2s], and [formula62.mml ± 3s] compare to those given by the empirical rule? do these comparisons indicate that the statistical inferences you made in parts b and c are reasonably valid? (round your answers to the nearest whole number. omit the "%" sign in your