A department of an accounting firm has five offices. The average costs of each office are: salaries, $\$ 2,150$ a month; benefits, $28\%$ of wages; space, $120$ square feet $@ \$ 31.50$ per square foot per year; supplies, $\$ 325$ per year; other costs, $\$ 1,830$ per year. What is the total yearly cost of the five offices?

Increasing Skills Add one set of parentheses to each expression to ensure that the supplied value is produced when the operations are carried out.

$$15-10-2$$

Increasing Skills Add one set of parentheses to each expression to ensure that the supplied value is produced when the operations are carried out.

$$8+2^2$$

Abduction and adduction always refer to movements of the (a) axial skeleton. (b) appendicular skeleton. (c) skull. (d) vertebral column..

Vulnerability of relying party Web sites. Refer to the Proceedings of the 5th AMC Workshop on Computers & Communication Security (October 2012) study of the vulnerability of relying party (RP) Web sites, Exercise $8.59$ (p. 465). Recall that the Web sites were categorized as server-flow or client-flow Web sites. The researchers want to estimate the true difference between the proportion of server-flow Web sites vulnerable to attack and the corresponding proportion of client-flow Web sites with a $95 \%$ confidence interval. They want to know how many Web sites of each type they need to sample to obtain an estimate that is no more than $.15$ from the true difference. Find the sample size required to obtain the desired estimate. Assume $n_1=n_2$.

In 2009, the Office of the Under Secretary of Defense projected that a critical International Defense Construction Cost Index would increase from its value then of 3423 to 4098 in 2016. If the actual value in 2016 was 5167, (a) what was the actual building cost inflation rate between 2009 and 2016, and (b) what was the increase in the inflation rates between projected and actual?

Review these math skills and solve the exercises that follow.

Rewrite decimals as percents.

Rewrite as a percent. $0.5234=52.34 \%$

a. $0.67$

b. $0.245$

c. $0.5698$

d. $0.2791$

Use both numeric and algebraic solution methods to solve each problem. Then tell which one you prefer and why.

Five less than three times a number is 25. What is the number?

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

Some workers use technology such as smart phones, e-mail, and computers to work at home rather than in the office. The table lists telecommuters in millions from 2001 to 2006 .

Find values for a and b so that $f(x)=a+b \ln x$ models the data, where x=1 corresponds to 2001, x=2 to 2002 , and so on.

Use the skills covered in the Brief Review to solve the following equations.

$$3 x-4=2 x+6$$

How did the abolitionist and women's rights movements highlight the limits of American democracy?

Without doing any calculations, rank from smallest to largest the approximations of $\int_1^6 \frac{1}{x} d x$ for the following methods: left Riemann sum, midpoint Riemann sum, Trapezoidal rule.

Winter heating of an office building requires an average of $250 \mathrm{kBtu} / \mathrm{h}$. The heating system uses a heat pump with $\mathrm{COP}=$ 3.0. (b) What's the daily monetary savings, compared with heat from oil at $\$ 4.20$ per gallon? The oil contains $40 \mathrm{kWh}$ per gallon and burns at $87 \%$ efficiency.