A new alloy can be produced by Process A, which costs $200,000 to implement. The operating cost will be$10,000 per quarter with a salvage value of $25,000 after its 2-year life. Process B will have a first cost of$250,000, an operating cost of $15,000 per quarter, and a$40,000 salvage value after its 4-year life. The interest rate is 8% per year compounded quarterly. What is the present value difference between A and B

Titus Tribble wins the big Powerball lottery, which pays $17 million at the beginning of each of the next 30 years. The reported prize is$510 million, which is just the total of these 30 annuity payments. What is the present value of this prize today at a 5% annual rate? Express your answer in terms of millions of dollars and round the answer to the nearest tenth of a million, for example, 17.0 for 17 million.

Solve each equation on the interval $0 \leq \theta<2 \pi$. $\tan \theta+\sqrt{3}=\sec \theta$

IBP Inc. is considering establishing a new machine to automate a meatpacking process. The machine will save $55,000 in labor annually. The machine can be purchased for$225,000 today and will be used for IO years. It has a salvage value of $12,500 at the end of its useful life. The new machine will require an annual maintenance cost of$ I 1,000. The corporation has a minimum rate of return of 9%. Do you recommend automating the process?

Find the LCM of the given expressions.

$$y ^ { 2 } - 16 , ( y + 9 ) ( y - 4 )$$

If the minimum attractive rate of return is 14%, which alternative should be selected?

$$\begin{matrix} \text{Year} & \text{w} & \text{x} & \text{y} & \text{z}\\\text{0} & \text{-\$1000} & \text{-\$500} & \text{-\$1200} & \text{-\$1500}\\ \text{1} & \text{350} & \text{165} & \text{420} & \text{500}\\ \text{2} & \text{350} & \text{165} & \text{420} & \text{500}\\ \text{3} & \text{350} & \text{165} & \text{420} & \text{500}\\ \text{4} & \text{350} & \text{165} & \text{420} & \text{500}\\ \end{matrix}$$

A new tennis court complex is planned. Each of two alternatives will last 18 years, and the interest rate is 7%. Use present worth analysis to determine which should be selected. $$ \begin{matrix} \text{ } & \text{Construction Cost} & \text{Annual O&M}\\ \text{A} & \text{\$500,000} & \text{\$25,000}\\\text{B} & \text{640,000} & \text{10,000}\\ \end{matrix} $$

Completa.

Es río Paraguay es un ________ del río de la Plata.

Expand the given function in a Maclaurin series. Give the radius of convergence of each series. $f(z)=e^{-2 z}$

Sandra used her debit card to buy lunch for $8.74 on Monday. On Tuesday, she deposited$8.74 back into her account. What is the overall increase or decrease in her bank account?

To replace the current grinder, Lombard Company is thinking about buying a new, high-speed widget grinder. The current grinder was acquired two years ago for an installed cost of $60,000, and MACRS was being used to depreciate it utilising a five-year recovery period. The current grinder is anticipated to have a further five years of useful life. It has a 5-year useable life and would be depreciated under MACRS utilising a 5-year recovery period. The new grinder costs$105,000 and requires $5,000 in installation costs. Currently, Lombard can sell the existing grinder for$70,000 without having to pay for removal or cleanup. Accounts receivable would rise by $40,000, inventories would rise by$30,000, and accounts payable would rise by $58,000 to accommodate the additional business brought on by the acquisition of the new grinder. The old grinder would have little market worth after five years, and the new grinder would be sold for more money after taxes and after clean-up expenses. The company must pay 40% in taxes. The following table displays the anticipated 5-year earnings before depreciation, interest, and taxes for both the new and the current grinder.

$$\begin{array}{ccc} \text { Year } & \text { New grinder } & \text { Existing grinder } \\ \hline 1 & \$ 43,000 & \$ 26,000 \\ 2 & 43,000 & 24,000 \\ 3 & 43,000 & 22,000 \\ 4 & 43,000 & 20,000 \\ 5 & 43,000 & 18,000 \end{array}$$

Using this, determine the terminal cash flow expected at the end of year 5 from the proposed grinder replacement.

The Larkspur Furniture Company needs a new grinder. Compute the present worth for these mutually exclusive alternatives and identify which you would recommend given i = 6% per year. Larkspur uses a 10-year planning horizon.

Write the system of linear equations represented by the augmented matrix. Then use back-substitution to find the solution. (Use the variables x, y, and z, if applicable.)

$$\left[\begin{array}{cccc}{1} & {8} & {\vdots} & {12} \\ {0} & {1} & {\vdots} & {3}\end{array}\right]$$

Write formulas for the Ionic compounds formed by the following ions. Use units as a guide to your solutions. cesium and nitride