A small space probe, of mass 240 kg, is launched from a spacecraft near Mars. It travels toward the surface of Mars, where it will land. At a time 20.7 s after it is launched, the probe is at the location 4.30×10-, 8.70×100, 0 m, at at this same time its momentum is 4.40×102, −7.60×10-, 0 kg⋅m/s. At this instant, the net force on the probe due to the gravitational pull of Mars plus the air resistance acting on the probe is −7×10-, −9.2×100, 0 N. Assuming that the net force on the probe is approximately constant over this time interval, what are the momentum and position of the probe 20.9 s after it is launched? Divide the time interval into two time steps, and use the approximation Vavg = Pf / m

Pantaloon Beer is considering opening a microbrewery near campus. To open the brewery, they must purchase $250 in equipment. Shipping of the equipment will cost $40 and installation of the equipment will be $30. Pantaloon will lease a building for $384 per year. The building will need modifications costing $100. Both the modifications and equipment are depreciated using the 5 year MACRS schedule. Pantaloon will operate the brewery for four years, and then expects to sell the brewery to an investor for $500 plus any working capital. The firm will have some one-time expenses in year 1 of $120, primarily licenses and legal fees. To operate the brewery, Pantaloon will need an increase in Inventory of $17, an increase of Accounts Receivables of $19, and will have an increase in Accounts Payable of $15. Working capital will be recovered when we sell the brewery. Annual sales will begin at $600, the increase at $600 per year. Thus year 2 sales are $1200, year 3 are $1800 and year 4 are $2400. Cost of Goods Sold (excluding overhead, depreciation, and lease payments) are 60% of annual sales. To operate the company, executives and administrators must be hired, at an annual fixed cost of $500. Over the past two years, Pantaloon has been testing the concept by using a contract brewer. Last year’s sales were $100 with a cost of goods sold of $120. 40% of the project financing will come from a three-year 6% annual coupon bond. The firm needs new equity investors to fund the expansion and Pantaloon has only been able to find one equity investor. This equity investor requires that the firm have audited financial statements. The outside investor gets to choose the auditor and the auditor would cost the company $30 per year. The firm’s tax rate is 30%. The cost of capital is 13%. What are the Initial Cash Flows in Year 0? What are the Operating Cash Flows in Year 2? What are the Terminal Cash Flows in Year 4? (I want only Terminal Cash Flows, not operating cash flows in year 4)

Lavage Rapide is a Canadian company that owns and operates a large automatic carwash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,100 per month plus $0.09 per car washed. The company expected to wash 8,300 cars in August and to collect an average of $6.50 per car washed.

The actual operating results for August appear below.

Compute the company's revenue and spending variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

Lavage Rapide is a Canadian company that owns and operates a large automatic carwash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,100 per month plus $0.07 per car washed. The company expected to wash 8,200 cars in August and to collect an average of $6.60 per car washed. The company actually washed 8,300 cars.

The actual operating results for August appear below.

Compute the company's activity variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

Auto Lavage is a Canadian company that owns and operates a large automatic carwash facility near Quebec. The following table provides data concerning the company’s expected costs:

For example, electricity costs are $3,450 per month plus $0.30 per car washed. The company expects to wash 9,900 cars in October and to collect an average of $7.80 per car washed.

Auto Lavage’s actual level of activity was 10,000 cars. The actual revenues and expenses for October are given below:

Prepare a flexible budget performance report for October. (Indicate the effect of each variance by selecting "F" for favourable, "U" for unfavourable, and "None" for no effect (i.e., zero variance).)

2. Prepare a comprehensive performance report for October. Assume that the static budget for October was based on an activity level of 9,900 cars. (Indicate the effect of each variance by selecting "F" for favourable, "U" for unfavourable, and "None" for no effect (i.e., zero variance).)

Lavage Rapide is a Canadian company that owns and operates a large automatic carwash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,100 per month plus $0.07 per car washed. The company expected to wash 8,200 cars in August and to collect an average of $6.60 per car washed. The company actually washed 8,300 cars.

The actual operating results for August appear below.

Required:

Compute the company's activity variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

Lavage Rapide is a Canadian company that owns and operates a large automatic carwash facility near Montreal. The following table provides data concerning the company’s costs:

For example, electricity costs are $1,000 per month plus $0.07 per car washed. The company expects to wash 8,200 cars in August and to collect an average of $6.90 per car washed.

The actual operating results for August appear below.

Required:

Complete the flexible budget performance report that shows the company’s activity variances and revenue and spending variances for August. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.) PLEASE SHOW WORK

In February 2013, a 10,000 ton meteor entered the atmosphere near the city of Chelyabinsk, Russia. Analysis of the trajectory showed that the meteor was traveling at a speed of 17.5 km/s at an angle of 17.7o below horizontal, when it was at a height of 77.9 km. Fortunately the meteor exploded high in the atmosphere, where most of its energy was dissipated.

(a) Had the meteor not exploded, and ignoring air resistance, how long would it have taken for the meteor to hit the ground from its 77.9-km height?

(b) With the same assumptions as in part (a), how far in horizontal distance would the meteor have traveled from its initial location to when it hit the ground?

(c) Just before striking the ground, what would have been the meteor’s total velocity? (You may give your answer in either speed-angle or x,y component form.)

experiences with a school-age child whose family is at or near the poverty level. How did poverty impact their life? The chapter talks about strengths in the lives of people and families in poverty that may help them overcome the effects on a child's development and well-being. Include examples of strengths within the child and family, or relationships and resources available to them outside of the family that may have helped them overcome some of the obstacles to their success.