In the radical expression $\sqrt[5]{125}$ what is the index? What is the radicand?

The price of computers has fallen substantially over the past two decades. Use this drop in price to explain why the Consumer Price Index is likely to overstate substantially the cost-of-living index for individuals who use computers intensively.

The index of refraction of beer is about $1.35$. What is the speed of light in beer?

What is the misery index and is it official or not, and when does it usually reach a peak?

This will happen if you try to use an index that is out of range for a list. a. A ValueError exception will occur. b. An IndexError exception will occur. c. The list will be erased and the program will continue to run. d. Nothing—the invalid index will be ignored.

Kaitlyn said $\sqrt[3]{10}=10^{3} .$ Explain Kaitlyn's error.

A lens is made of glass that has refractive index 1.60. In air, the lens has focal length $+18.0 \mathrm{~cm}$. What is the focal length of this lens if it is totally immersed in a liquid that has refractive index $1.42$ ?

Use the following information to solve the question :

On March $28, 2008$, Toyota Motor Credit Corporation (TMCC), a subsidiary of Toyota Motor, offered some securities for sale to the public. Under the terms of the deal, TMCC promised to repay the owner of one of these securities $100,000 on March$28,2038$, but investors would receive nothing until then. Investors paid TMCC$24,099 for each of these securities; so they gave up $24,099 on March$28$,$2008$, for the promise of a$100,000 payment $30$ years later.

Why would TMCC be willing to accept such a small amount today $(24,099) in exchange for a promise to repay about four times that amount$(100,000) in the future?

Broker Satisfaction. The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with discount brokers. As part of the survey, members were asked to rate the quality of the speed of execution with their broker as well as provide an overall satisfaction rating for electronic trades. Possible responses (scores) were no opinion (0), unsatisfied (1), somewhat satisfied (2), satisfied (3), and very satisfied (4). For each broker summary scores were computed by calculating a weighted average of the scores provided by each respondent. A portion of the survey results follow (AAII website, February 7, 2012).

$$\begin{array}{lcc} \text { Brokerage } & \text { Speed } & \text { Satisfaction } \\ \text { Scottrade, Inc. } & 3.4 & 3.5 \\ \text { Charles Schwab } & 3.3 & 3.4 \\ \text { Fidelity Brokerage Services } & 3.4 & 3.9 \\ \text { TD Ameritrade } & 3.6 & 3.7 \\ \text { E*Trade Financial } & 3.2 & 2.9 \\ \text { Vanguard Brokerage Services } & 3.8 & 2.8 \\ \text { USAA Brokerage Services } & 3.8 & 3.6 \\ \text { Thinkorswim } & 2.6 & 2.6 \\ \text { Wells Fargo Investments } & 2.7 & 2.3 \\ \text { Interactive Brokers } & 4.0 & 4.0 \\ \text { Zecco.com } & 2.5 & 2.5 \end{array}$$

Develop a scatter diagram for these data with the speed of execution as the independent variable.

Water permeability of concrete can be measured by letting water flow across the surface and determining the amount lost (in inches per hour). Suppose that the permeability index x for a randomly selected concrete specimen of a particular type is normally distributed with mean value 1000 and standard deviation 150. a. How likely is it that a single randomly selected specimen will have a permeability index between 850 and 1300? b. If the permeability index is to be determined for each specimen in a random sample of size 10, how likely is it that the sample mean permeability index will be between 950 and 1100? between 850 and 1300?

Your boss is the director of reporting for the Athens County Construction Agency (ACCA). It has been his job to track the cost of construction in Athens County. Twenty-five years ago he created the ACCA Cost Index to track these costs. Costs during the first year of the index were $12 per square foot of constructed space (the index value was set at 100 for that first year). This past year a survey of contractors revealed that costs were$90 per square foot. What index number will your boss publish in his report for this year? If the index value was 600 last year, what was the cost per square foot last year

In order to determine the refractive index of a small piece of glass, the glass is submerged in different liquids and viewed under a compound microscope. The appearance of a Becke line is used to determine the refractive index. a) What is a Becke line? b) Why does a Becke line form? c) What does the location of the Becke line tell you about the refractive index of the piece of glass and the surrounding liquid in which it is placed?

A converging lens is made from glass whose index of refraction is n. The lens is surrounded by a fluid whose index of refraction is also n. Can this lens still form an image, either real or virtual, of an object? Why?

Write a C++ program that accepts both a string and a single character from the user. The program should determine how many times the character is contained in the string. (Hint: Search the string by using the find(str, ind) function. This function should be used in a loop that starts the index value at 0 and then changes the index value to one past the index of where the char was last found.)