Hinson's Homegrown Farms needs a new irrigation system. System one will cost $145,000, have annual maintenance costs of$10,000, and need an overhaul at the end of year six costing $30,000. System two will have first-year maintenance costs of$5000 with increases of $500 each year thereafter. System two would not require an overhaul. Both systems will have no salvage value after 12 years. If Hinson's cost of capital is 4%, using annual worth analysis determine the maximum Hinson should be willing to pay for system two.

Describe the structure of the nail bed.

Use factoring to solve each quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts .

$$2x^2 - 5x - 3 = 0$$

Let

$$A = \left[ \begin{array} { r r r } { 1 } & { 2 } & { - 1 } \\ { 1 } & { 1 } & { 1 } \\ { 1 } & { - 1 } & { 0 } \end{array} \right] , \quad B = \left[ \begin{array} { r r r } { 1 } & { - 1 } & { 0 } \\ { 1 } & { 1 } & { 1 } \\ { 1 } & { 2 } & { - 1 } \end{array} \right] \\ C = \left[ \begin{array} { r r r } { 1 } & { 2 } & { - 1 } \\ { 1 } & { 1 } & { 1 } \\ { 2 } & { 1 } & { - 1 } \end{array} \right] , \quad D = \left[ \begin{array} { r r r } { 1 } & { 2 } & { - 1 } \\ { - 3 } & { - 1 } & { 3 } \\ { 2 } & { 1 } & { - 1 } \end{array} \right]$$

In each case, find an elementary matrix E that satisfies the given equation. ED = C

What is the value of $4 x^{2}+2 x-1$ when $x=\frac{3}{4}?$ Express the answer as a decimal.

Compared with felsic igneous rocks, mafic igneous rocks contain greater amounts of (1) white quartz (2) aluminum (3) pink feldspar (4) iron

Find the vertices and foci of the conic section.

$$\left( \frac { x } { 4 } \right) ^ { 2 } - \left( \frac { y } { 9 } \right) ^ { 2 } = 1$$

A construction fi rm needs a new small loader. It can be leased from the dealer for 3 years for $5500 per year including all maintenance, or it can be purchased for$27,000. The firm expects the loader to have a salvage value of $8500 after 8 years. The maintenance will be$650 the first year and then it will increase by $250 each year. The firm's interest rate is I 0% per year. Compare the EU A Cs for leasing and buying the loader

An engineer has a fluctuating future budget for the maintenance of a particular machine. During each of the first 5 years, $10,000 per year will be budgeted. During the second 5 years, the annual budget will be$15,000 per year. In addition, $5000 will be budgeted for an overhaul of the machine at the end of the fourth year, and again at the end of the eighth year. What uniform annual expenditure would be equivalent, if interest is 8% per year?

A machine has a first cost of $126,000, an annual operation and maintenance cost of$1850, a life of 8 years, and a salvage value of $27,000. At the end of Years 3 and 6, it requires a major service, which costs$14,000 and $ 16,500, respectively. What is the equivalent uniform annual cost of owning and operating this particular machine if interest is 6%?

To reduce her personal carbon footprint, Zooey is buying a new hybrid. She has negotiated a price of $21,900 and will trade in her old car for$2350. She will put another $850 with it and borrow the remainder at 6% interest compounded monthly for 4 years. How large will her monthly payments be

The following spreadsheet gives annual production costs and profits at Gauss-Jordan Sneakers, Inc.

$$\begin{matrix} \text{Production Costs}\\ & \text{2004} & \text{2004} & \text{2006}\\ \text{Gauss Grip} & \text{\$1,800} & \text{\$2,200} & \text{\$2,400}\\ \text{Air Gauss} & \text{\$1,400} & \text{\$1,700} & \text{\$1,200}\\ \text{Gauss Gel} & \text{\$1,500} & \text{\$2,000} & \text{\$1,300}\\ \text{}\\ \text{Profit}\\ & \text{2004} & \text{2004} & \text{2006}\\ \text{Gauss Grip} & \text{\$10,000} & \text{\$14,000} & \text{\$16,000}\\ \text{Air Gauss} & \text{\$8,000} & \text{\$12,000} & \text{\$14,000}\\ \text{Gauss Gel} & \text{\$9,000} & \text{\$14,000} & \text{\$12,000}\\ \end{matrix}$$

Use matrix algebra to compute the revenues from each sector each year.

Identify the type of conic represented by the polar equation and analyze its graph. Then use a graphing utility to graph the polar equation. $r=\frac{-4}{-1+\cos \theta}$

El señor y la señora López van a llegar tarde a una fiesta. Completa la conversación con expresiones apropiadas del cuadro.

1. Sr. López BLANK Se nos hace tarde.
2. Sra. López BLANK. Sólo me falta ponerrne el vestido.
3. Sr. López jDate prisa! BLANK
4. Sra. López BLANK. Estoy poniéndome los lentes de contacto.
5. Sr. López ¿Todavía no estas lista? BLANK
6. Sra. López Tranquilo. BLANK
7. Sr. López jDate prisa! BLANK
8. Sra. López No te preocupes. BLANK