Acylindrical part of diameter d is loaded by an axial force p. this causes a stress of pya, where a 5 pd2y4. if the load is known with an uncertainty of 610 percent, the diameter is known within 65 percent (tolerances), and the stress that causes failure (strength) is known within 615 percent, determine the minimum design factor that will guarantee that the part will not fail.

Each of the four independent situations below describes a sales-type lease in which annual lease payments of $12,500 are payable at the beginning of each year. each is a finance lease for the lessee. (fv of $1, pv of $1, fva of $1, pva of $1, fvad of $1 and pvad of $1) (use appropriate factor(s) from the tables provided.) situation 1 2 3 4 lease term (years) 3 3 3 3 asset’s useful life (years) 3 4 4 6 lessor’s implicit rate (known by lessee) 14 % 14 % 14 % 14 % residual value: guaranteed by lessee 0 $ 5,000 $ 2,500 0 unguaranteed 0 0 $ 2,500 $ 5,000 purchase option: after (years) none 2 3 3 exercise price n/a $ 7,500 $ 1,500 $ 3,500 reasonably certain? n/a no no yes

Two assets have the following expected returns and standard deviations when the risk-free rate is 5%: asset a e(ra) = 18.5% σa = 20% asset b e(rb) = 15% σb = 27% an investor with a risk aversion of a = 3 would find that on a risk-return basis. a. only asset a is acceptable b. only asset b is acceptable c. neither asset a nor asset b is acceptable d. both asset a and asset b are acceptable

Which of the following tends to result in a decrease in the selling price of houses in an area? a. an increase in the population of the city or town. b. an increase in the labor costs of construction. c. an increase in the income of new residents in the city or town. d. an increase in mortgage interest rates.