You have contracted to buy a house for $300,000, paying $50,000 as a down payment and taking a fully amortizing mortgage for the balance at a 5.5% annual interest rate for 30 years. What will your monthly payment (covering principal and interest) be if you make monthly installments over the next 30 years (round to the nearest dollar)

Singer and mcmann are partners in a business. singer’s original capital was $40,000 and mcmann’s was $60,000. they agree to salaries of $12,000 and $18,000 for singer and mcmann respectively and 10% interest on original capital. if they agree to share remaining profits and losses on a 3: 2 ratio, what will mcmann’s share of the income be if the income for the year was $15,000?

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1

Experienced problem solvers always consider both the value and units of their answer to a problem. why?