Vector a has a magnitude of 24 units and points in the positive y-direction. when vector b is added to a, the resultant vector a + b points in the negative y-direction with a magnitude of 15 units. find the magnitude and direction of b.

Simplify using positive exponents only.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

What is the simplified form of 400x100 ? o 200x10 o 200x50 0 20x10 • 20x50