You and your friend find yourselves in an unfortunate situation. A shopping-cart-related stunt has gone wrong and now your friend is stuck in a shopping cart and is on a crash course for your house with speed V= 2.65~\mathrm{m/s}V=2.65 m/s. You are on the roof of your house, which forms an angle \theta = 40.0^{\circ}θ=40.0 ∘ with the horizontal, and it's your job to stop your friend. You size up the situation and see that the mass of your friend and the cart combined is M = 40.1~\mathrm{kg}M=40.1 kg and luckily you have some camera equipment with you whose total mass is m = 35.4~\mathrm{kg}.m=35.4 kg. Your plan is as follows. You're going to climb up the roof, place the equipment on the (frictionless) rooftoop, and let it slide off the roof, which is a height h=4.21~\mathrm{m}h=4.21 m above the ground. Your friend is going to catch the equipment and get slowed down by it. How far up the roof do you need to climb in order for your friend to come a complete stop?

What are ways individuals may reduce their total education and training costs?

You have just been hired as a financial analyst for barrington industries. unfortunately, company headquarters (where all of the firm's records are kept) has been destroyed by fire. so, your first job will be to recreate the firm's cash flow statement for the year just ended. the firm had $100,000 in the bank at the end of the prior year, and its working capital accounts except cash remained constant during the year. it earned $5 million in net income during the year but paid $800,000 in dividends to common shareholders. throughout the year, the firm purchased $5.5 million of machinery that was needed for a new project. you have just spoken to the firm's accountants and learned that annual depreciation expense for the year is $450,000; however, the purchase price for the machinery represents additions to property, plant, and equipment before depreciation. finally, you have determined that the only financing done by the firm was to issue long-term debt of $1 million at a 6% interest rate. what was the firm's end- of-year cash balance? recreate the firm's cash flow statement to arrive at your answer

How could brian, who doesn't want his car insurance premiums to increase, show he poses a low risk to his insurance company? a: drive safely to avoid accidents and traffic citations b: wash and wax his car regularly to keep it clean c: allow unlicensed drivers to drive carelessly in his car d: incur driver's license points from breaking driving laws