On January $1$ the previous balance for Lynn's charge account was $\$ 569,80$. On the following days, purchases were posted:

January $13 \quad \$ 38.50 \quad$ jewelry January $21 \quad \$ 44.56 \quad$ clothing

On January $16$ a $\$ 50$ payment was posted. Using the average daily balance method, find the finance charge and unpaid balance on February $1$ if the bank charges interest of $1.5 \%$ per month.

A temporary TFP shock: Suppose the economy is hit with a temporary positive TFP shock. For example, suppose weather conditions are temporarily very favorable for agriculture.
(a) Analyze the effect of the shock in the labor market diagram of a standard DSGE model (with no sticky prices or wages). What is the effect on the real wage and employment in the short run?
(b) How would your answer change if there are sticky prices? Discuss how your answer relates to the impulse response functions shown in previous Figure.

Suppose that an economy is divided into four sectors (agriculture, manufacturing, services, and entertainment) with the following input-output matrix:

$$\begin{equation*}C=\begin{bmatrix}.12&&.11&&.15&&.18\\.20&&.08&&.24&&.07\\ .18&&.16&&.06&&.22\\ .09&&.07&&.12&&.05\end{bmatrix}\end{equation*}$$

What amount of input from the services sector is needed for a gross production of $50 million by the entertainment sector?

In the Sixth Meditation, Descartes writes I first take notice here that there is a great difference between the mind and the body, in that the body, from its nature, is always divisible and the mind is completely indivisible. Descartes’s argument can be expressed as follows: All bodies are divisible. No minds are divisible. Therefore, no minds are bodies. Use an Euler diagram to determine whether the argument is valid or invalid.

The federal nutrition guidelines prepared by the Center for Nutrition Policy and Promotion of the U.S. Department of Agriculture stress the importance of eating reduced amounts of meat to obtain a healthy diet. You have been asked to determine if the per capita consumption of meat at the county level are related to the percentage of adults with diabetes in the county. Data for this study are contained in the data file Food Nutrition Atlas, whose variable descriptions are found in the appendix.

Suppose you have four groups of data, and you want to do hypothesis tests (t-tests) to compare all possible pairs of means.

a. How many pairwise comparisons can be done with four groups called A, B, C, and D? Show all possible pairs, starting with AB.

b. Using the Bonferroni Correction, which significance level should you use for each comparisons if you want an overall significance level of 0.05?

Although the chi-square homogeneity test and the chi-square independence test use essentially the same basic procedure, the context of the two tests are quite different. Explain the difference.

A convex security mirror has a radius of curvature of $-1.50 \mathrm{~m}$. (a) A shoplifter picks up a $0.255-\mathrm{m}$-high purse $11.5 \mathrm{~m}$ from the mirror. What distance behind the mirror is the image of the purse? (b) What is the nature of the image ? ( c) How high is the image of the purse? (d) Are convex security mirrors better for viewing detailed images or large fields of view?

Use the five-step strategy for solving word problems to find the number or numbers described. One number exceeds another by 24. The sum of the numbers is 58. What are the numbers?

On the first day of its fiscal year, Ebert Company issued $50,000,000 of 10-year, 7% bonds to finance its operations. Interest is payable semiannually. The bonds were issued at a market (effective) interest rate of 9%, resulting in Ebert Company receiving cash of$43,495,895. The company uses the interest method.

c. Explain why the company was able to issue the bonds for only $43,495,895 rather than for the face amount of$50,000,000.

Explain the law of conservation of energy.

Would you utilize an attribute-based or an attitude-based decision approach to purchasing (or renting) a BBQ grill? Which if any, situational factors would change your strategy?

At the United Nations Millennium Summit 2000, world leaders agreed to work together to achieve eight development goals by 2015. These goals included eradicating extreme poverty and hunger, achieving universal primary education, promoting gender equality, reducing child mortality, and combating diseases. "We will have time to reach the Millennium Development Goals... but only if we break with business as usual.... Success will require sustained action.... It takes time to train the teachers, nurses and engineers; to build the roads, schools and hospitals; to grow the small and large businesses able to create the jobs and income needed. So we must start now. And we must more than double global development assistance over the next few years. Nothing less will help to achieve the Goals." -Kofi Annan, former UN Secretary-General, June 7, 2000. According to Kofi Annan, how can the goals be achieved?

The divisibility tests depend on the number being expressed in base ten. The tests are properties of the numeration system rather than of the numbers. Find examples with numbers in base five to show that, say, the (base-ten) divisibility test for 2 does not work in base five. You will want to find a number for which 2 is (or is not) a factor but whose base-five representation does (or does not) satisfy the divisibility test for 2 that you know for base ten.