solve the following question

The wind chill, which is experienced on a cold, windy day, is related to increased heat transfer from exposed human skin to the surrounding atmosphere. Consider a layer of fatty tissue that is 3 mm thick and whose inte- rior surface is maintained at a temperature of 36 C. On a calm day the convection heat transfer coefficient at the outer surface is 25 W/m- - K, but with 30 km/h winds it reaches 65 W/m- . K. In both cases the ambient air temperature is - 15 C. (a) What is the ratio of the heat loss per unit area from the skin for the calm day to that for the windy day? (b) What will be the skin outer surface temperature for the calm day? For the windy day? (c) What temperature would the air have to assume on the calm day to produce the same heat loss occurring with the air temperature at - 15"C on the windy day?7.1 Under what circumstances would the rate of return be (a) - 100%%, and (b) infinite? 7.2 A shrewd investor loaned $1,000,000 to a start-up company at 10%% per year interest for 3 years, but the terms of the agreement were such that interest would be charged on the principal rather than on the unpaid balance. How much extra interest did the company pay? 7.3 What is the nominal rate of return per year on an investment that increases in value by 8%% every 3 months? 7.4 Assume you borrow $307000 at 10%% per year in- terest and you agree to repay the loan in five equal annual payments. What is the amount of the unre- covered balance immediately after you make the third payment? 7.5 International Potash got a $50 million loan amor- tired over a 10-year period at 10%% per year inter- est. The loan agreement stipulates that the loan will be repaid in 10 equal annual payments with interest charged on the principal amount of the loan (not on the unrecovered balanoch. (a) What is the amount of each payment? (b) What is the total amount of interest paid? How does the total interest paid compare with the principal of the loan?\f\f\f\f\f