In Metropolis 700,000 people read the Daily Planet newspaper, 400,000 people read the Daily Bugle newspaper, and 100,000 read both. How many read either the Planet or the Bugle? The Madison's buy a $310,000 home by putting 20% down and financing the balance with a 30-year fixed-rate 3.75% mortgage, compounded monthly. What is the amount of their monthly loan payment to amortize the loan? A bag contains 5 red balls, 4 white balls, and 3 black balls. Two balls are drawn without replacement. What is the probability that at least one ball drawn is black? Assuming a normal distribution, a raw data score whose equivalent z-score is exactly + 1.0 lies how far from the mean of the data set? Determine which region corresponds to the feasible region of the system of linear inequalities: 5 x2 y 4 x+ 3 y 6 Find the equation of the line passing through (5, - 2) and (- 9, 6) Identify the single row operation that transforms the matrix as shown [ ( 10 4 I 9 10 4 I 9 5 2 4.5 5 2 4.5 ) Which of the corner points for the system of linear inequalities graphed below minimizes the objective function C = 7x + 3y A farmer has a plot of land on which she plans to grow wheat and corn. Each acre of wheat requires 4 labor-hours and $20 of capital, and each acre of corn requires 16 labor-hours and $40 of capital. The farmer has at most 800 labor-hours and $2400 of capital available. If the profit from an acre of wheat is $80 and from an acre of corn is $100, how many acres of each crop should she plant to maximize her profit? Let x represent number of acres of wheat planted and y represent number of acres of corn planted. Identify the constraint on labor-hours: State the objective function. The amount of money you should deposit quarterly in an account paying 8% compounded quarterly in order to have $100,000 after 20 years can be determined using formula for: Single-payment, compound interest Single-payment, simple annual interest Periodic payments: present value of an annuity / installment payment on loan Periodic payments: future value of an ordinary annuity