For the data in earlier problem, if money is worth 10%, which one of the following three methods of depreciation would be preferable? (a) Straight-line method (b) Double declining balance method (c) MACRS method

Use Bayes’ theorem or a tree diagram to calculate the indicated probability. Round all answers to four decimal places. $Y_{1}$, $Y_{2}$, $Y_{3}$ form a partition of S. $P\left(X | Y_{1}\right)=.2$, $P\left(X | Y_{2}\right)=.3$, $P\left(X | Y_{3}\right)=.6$, $P\left(Y_{1}\right)=.3$, $P\left(Y_{2}\right)=.4$. Find $P\left(Y_{1} | X\right)$.

Multiply. Then simplify. (x - 8)(x + 8).

Determine whether the statement is true or false. Justify your answer. The value $x=\frac{1}{7}$ is a zero of the polynomial function $f(x)=3 x^{5}-2 x^{4}+x^{3}-16 x^{2}+3 x-8$

The function $y=0.4409 x^{2}-5.1724 x+99.0321$ models the emissions of carbon monoxide in the United States since 1987, where y represents the amount of carbon monoxide released in a year in millions of tons, and x = 0 represents the year 1987. Which method do you prefer? Explain why.

What is the next term in the sequence $x-4, x-2, x, x+2, \ldots$? F. 2x G. x + 3 H. x + 4 I. 2x + 2

The Giant Prize Wheel at the county fair is evenly divided into 10 sections. One is labeled "Large Prize," three are labeled "Small Prize," and the rest are labeled "No Prize." a. If you spin once, what is the probability of winning a large prize? b. If you spin once, what is the probability of winning any prize? c. If 50 people spin the prize wheel, approximately how many people should expect to win a prize of any kind?

Which is NOT a colligative property? A. boiling point elevation B. freezing point depression C. vapor pressure lowering D. osmotic pressure E. solubility

Big-J Construction Company, Inc. is conducting a routine periodic review of existing field equipment. They use a MARR of 20%. This includes a replacement evaluation of a paving machine now in use. The machine was purchased 3 years ago for $200,000, The paver's current market value is$120,000, and yearly operating and maintenance costs are as follows.

$$\begin{matrix} \text{Year, n} & \text{Operating Cost in Year n} & \text{Maintenance Cost in Year n} & \text{Market Value if Sold in Year n}\\ \text{1} & \text{\$15,000} & \text{\$9,000} & \text{\$85,000}\\ \text{2} & \text{15,000} & \text{10,000} & \text{65,000}\\ \text{3} & \text{17,000} & \text{12,000} & \text{50,000}\\ \text{4} & \text{20,000} & \text{18,000} & \text{40,000}\\ \text{5} & \text{25,000} & \text{20,000} & \text{35,000}\\ \text{6} & \text{30,000} & \text{25,000} & \text{30,000}\\ \text{7} & \text{35,000} & \text{30,000} & \text{25,000}\\ \end{matrix}$$

Data for a new paving machine have been analyzed. Its most economic life is at 8 years, with a minimum EUAC of $62,000. When should the existing paving machine be replace

Determine if the given set is a subspace of $\mathbb{ℙ}_n$ for an appropriate value of n. Justify your answers. All polynomials of degree at most 3, with integers as coefficients.

Use a calculator to evaluate, correct to 3 significant figures: a.

$$4 ^ { \frac { 2 } { 3 } }$$

b.

$$20 ^ { - \frac { 1 } { 2 } }$$

c.

$$\sqrt [ 3 ] { 30 }$$

The pumper truck is to deliver $1.5 \mathrm{ft}^{3} / \mathrm{s}$ to a maximum elevation of 60 ft above the hydrant. The pressure at the 4-in.-diameter outlet of the hydrant is 10 psi. If head losses are negligibly small, determine the power that the pump must add to the water.

Graph the solution set in the coordinate plane. Support your answer by selecting two ordered pairs in the solution set and verifying that they make the inequality true. a. $-10 x+y>25$ b. $-6 \leq y$ c. $y \leq-7.5 x+15$ d. $2 x-8 y \leq 24$ e. $3 x<y$ f. $2 x>0$

In his DVD collection, Domingo has eight more than twice as many animated movies as action movies. If he has 24 animated movies, write and solve an equation to find how many action movies are in his collection.