Hot water at 50 c is routed from one building in which it is generated to an adjoining building in which it is used for space heating. transfer between the buildings occurs in a steel pipe (k 60 w/m k) of 100-mm outside diameter and 8-mm wall thickness. during the winter, representative environmental conditions involve air at t 5 c and v 3 m/s in cross flow over the pipe.

(a) if the cost of producing the hot water is $0.10 per kw h, what is the representative daily cost of heat loss from an uninsulated pipe to the air per meter of pipe length? the convection resistance associated with water flow in the pipe may be neglected.

(b) determine the savings associated with application of a 10-mm-thick coating of urethane insulation (k 0.026 w/m k) to the outer surface of the pipe.

Cool beans is a locally owned coffee shop that competes with two large coffee chains, planeteuro and frothies. alicia, the owner, hired two students to count the number of customers that entered each of the coffee shops to estimate what percent of people who are interested in coffee are visiting each shop. after a week, the students found the following results: 589 visited cool beans, 839 visited planeteuro, and 1,290 visited frothies. the students were surprised that cool beans had 139 visits on monday which represented 59% of all people who visited one of the three coffee shops on mondays. how many people visited one of the three coffee shops during the week?

Beswick company your team is allocated a project involving a major client, the beswick company. although the organization has many clients, this client, and project, is the largest source of revenue and affects the work of several other teams in the organization. the project requires continuous involvement with the client, so any problems with the client are immediately felt by others in the organization. jamie, a member of your team, is the only person in the company with whom this client is willing to deal. it can be said that jamie has:

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.