You are managing a portfolio of $2.0 million. Your target duration is 20 years, and you can choose from two bonds: a zero-coupon bond with maturity six years, and a perpetuity, each currently yielding 4%.How will be the fraction of the zero-coupon bond next year if target duration is 19 years

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76

Warner inc. sells a high-speed retrieval system for mining information. it provides the following information for the year. budgeted actual overhead cost $965,700 $905,000 machine hours 58,570 49,200 direct labor hours 107,300 104,200 overhead is applied on the basis of direct labor hours. compute the predetermined overhead rate. predetermined overhead rate $ per direct labor hour link to text determine the amount of overhead applied for the year. the amount of overhead applied $