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mathematics
linear algebra

Questions and Answers of Linear Algebra

How might a large trade "move the market"? How might those words apply to what you have learned?
Michele is following the trades of Procter & Gamble Co on the business channel. The result of the latest trade is posted on the ticker above. a. How many shares of PG were traded? b. How much did
Sarah sold her Disney shares as indicated on the ticker. a. How many shares did she sell? b. How much did each share sell for? c. What was the total value of all the shares Sarah sold? d. Suppose
What was the previous day's closing price for each stock? a. Procter & Gamble Co b. Bank of America Corp c. Walt Disney Co d. Kellogg Co
Write the ticker symbols for each situation. a. 36,000 shares of ABC at a price of 37.15 which is $0.72 higher than the previous day's close b. 1,240 shares of XYZ at a price of $9.17, which is
Maria is a stock broker and has been following transactions for Ford Motor Co (F). On Tuesday, the last trade of the day for Ford was posted on the ticker as $8.11. On Wednesday, the last trade of
Jessica put in an order for some shares of Exxon Mobil Corp. a. As shown on the ticker, how many shares did Jessica buy? b. How much did each share cost? c. What was the value of Jessica's
Danielle is examining the change in the money flow for Yahoo! Inc shares on two consecutive dates. The information is given in the table. Do the May 16 numbers reflect a positive or negative money
Isaac follows the market action of Google Inc. He has watched the prices for two consecutive days. The information he collected is given in the table. Do the June 7 numbers reflect a positive or
Phil sold his shares of Verizon Communications Inc, as indicated on the above ticker. a. How many shares did he sell? b. How much did each share sell for? c. What was the total value of all the
What was the previous day's closing price for each stock? HD 32.3M@29.13▲1.13 S 1.1K@9.14▼0.78 VZ 3.32K@38.77▲2.27 XOM 0.66K @92.67▼1.58
Is it always true that someone sells a stock because they think it is going to go down in price? How do those words apply to what you've learned in this lesson?
Austin purchased shares of stock for x dollars in 2004. He sold them in 2010 for y dollars per share.a. Express his capital gain algebraically. b. Express his capital gain as a percent of the
During 2003, a share of stock in the Coca-Cola Company sold for $39. During 2008, the price hit $56 per share. Express the increase in price as a percent of the price in 2003. Round to the nearest
Zeke bought g shares of stock for w dollars per share. His broker called him and told him to sell the shares when they earn a 40% capital gain. a. Express the total purchase price of all the shares
Jake bought d shares of stock for x dollars per share years ago. His stock rose in price and eventually hit a price that would earn him a 140% capital gain. He decided to sell half of his d shares.
Ahmad sold 125 shares of stock for x dollars that he had purchased for $32.75 per share. a. How much did he originally pay for the shares of stock? b. Write an inequality that represents an amount
Zach bought 200 shares of Goshen stock years ago for $21.35 per share. He sold all 200 shares today for $43 per share. What was his gross capital gain?
Mitchell bought 600 shares of Centerco two years ago for $34.50 per share. He sold them yesterday for $38.64 per share. a. What was the percent increase in the price per share? b. What was the total
In 2004, Joe bought 200 shares in the Nikon Corporation for $12.25 per share. In 2007 he sold the shares for $31.27 each. a. What was Joe's capital gain? b. Express Joe's capital gain as a percent,
General Motors stock fell from $32 per share in 2006 to $20 per share during 2008. a. If you bought and then sold 300 shares at these prices, what was your loss? b. Express your loss as a percent
Maria purchased 1,000 shares of stock for $35.50 per share in 2003. She sold them in 2007 for $55.10 per share. Express her capital gain as a percent, rounded to the nearest tenth of a percent
How do those words apply to an investor? How do those words apply to a stockbroker?
Alex purchases x dollars worth of stock on his broker's advice and pays his broker a 1% broker fee. The value of the shares falls to y dollars years later, and Alex uses a broker who charges 1.25%
Ron bought x dollars worth of stock and paid a y percent commission. Dave purchased p dollars worth of stock and paid a q percent commission, where x > p. Pick numbers for x, y, p, and q such that
Debbie buys 400 shares of stock for $23 per share, and pays a 1% commission. She sells them six years later for $23.25 per share, and pays a $30 flat fee. Are her net proceeds positive or negative?
Sal bought x shares of a stock that sold for $23.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $3,560.25. How many shares did Sal
Carlos does his online trading with Super Trade. Super Trade's rates are listed in the table below.a. If Carlos makes three dozen online trades in a year, what is the total of his broker fees?b. What
The ticker shows trades of stock in Hewlett-Packard (HPQ), Exxon- Mobil (XOM), and Chevron (CVX). HPQ 6K47.29 ▼ 0.23 XOM 3K92.67 ▲ 0.08 CVX 9K100.38 ▼ 0.22 a. How many shares of Hewlett-Packard
Taylor bought 200 shares of stock for $18.12 per share last year. He paid his broker a flat fee of $30. He sold the stock this morning for $21 per share, and paid his broker 0.5% commission. a. What
Laura bought 55 shares of stock for $3.50 per share last year. She paid her broker a 1% commission. She sold the stock this week for $2 per share, and paid her broker a $10 flat fee. a. What were
Lenny bought x shares of stock for $y per share last month. He paid his broker a flat fee of $20. He sold the stock this month for $p per share, and paid his broker a 2% commission. Express Lenny's
Mackin Investing charges its customers a 1% commission. The Ross Group, a discount broker, charges $25 per trade. For what amount of stock would both brokers charge the same commission?
Fierro Brothers, a discount broker, charges their customers a $19 flat fee per trade. The Sondo Investment House charges a 2% commission. For what amount of stock would both brokers charge the same
Darlene purchases $20,000 worth of stock on her broker's advice and pays her broker a 1.5% broker fee. She sells her stock when it increases to $28,600 two years later, and uses a discount broker who
Why should investors be cautious when a split occurs? How might those words apply to what you have learned?
Monarch Financial Holdings, Inc. executed a 6-for-5 traditional split on October 5. Before the split there were approximately 4,800,000 shares outstanding, each at a share price of $18.00. a. Use
On June 19 California Pizza Kitchen, Inc. instituted a 3-for-2 split. At that time Krista owned 205 shares of that stock. The price per share was $33.99. After the split, Krista received a check for
On December 14, XTO Energy, Inc. executed a 5-for-4 split. At that time, Bill owned 325 shares of that stock. The price per share was $65.80. After the split he received a check for a fractional part
Write the pre-split market cap formula in cell B9 and the post-split market cap formula in C9.
In February, Robbins and Myers, Inc. executed a 2-for-1 split. Janine had 470 shares before the split. Each share was worth $69.48. a. How many shares did she hold after the split? b. What was the
On June 5, CIGNA instituted a 3-for-1 stock split. Before the split, CIGNA had 200 million shares with a price of $168 per share. a. How many shares were outstanding after the split? b. What was the
Vilma owns 750 shares of Aeropostale. On August 22, the corporation instituted a 3-for-2 stock split. Before the split, each share was worth $34.89. a. How many shares did Vilma hold after the
Mike owns 2,400 shares of JDS Uniphase Corp. The company instituted a 1-for-8 reverse stock split on October 17. The pre-split market price per share was $2.13. a. How many shares did Mike hold
Versant Corporation executed a 1-for-10 reverse split on August 22. At the time, the corporation had 35,608,800 shares outstanding and the pre-split price per share was $0.41. a. How many shares
Kristy owns 200 shares of Nortel stock. On November 30 the company instituted a 1-for-10 reverse split. The pre-split price per share was $2.15. The number of shares outstanding before the split was
Verify that Jon's method works to determine the post-split price and shares outstanding for Hansen Natural Corporation which executed a 4-for-1 split on July 10 with 22,676,800 outstanding shares and
Jon also noticed that every traditional split ratio can be written in the form x-for-1. Examine how the 3-for-2 traditional split can be expressed as 1.5-for-1. 3/2 = x / 1 ( 3 = 2x ( x = 1.5 Express
Based on what you learned about dividends, why are non-dividend stocks compared to baseball cards?
The table gives the last price and the annual dividend for 15 corporations. Compute the yield for each corporation.
The Revreg Corporation pays an annual dividend of $1.60 per share. On Friday it closed at $44 per share with a net change of + 0.35. The dividend did not change.a. What was the yield on Friday?b. At
The Zeescore Corporation pays an annual dividend of $2 per share. On Wednesday it closed at $61 per share with a net change of − 0.85. The dividend remained at $2 for a year. a. What was the yield
Sascha owns stock in Lewis Corp and she bought a $1,000 corporate bond. The bond pays 6.34% annual interest. a. How much will Sascha receive in annual interest? b. How much will Sascha receive in
Stock in Happy's Burger Chain was selling for $54.24 per share, and it was paying a $2.46 annual dividend. It underwent a 3-for-1 split. a. What was the new price of one share after the split? b. If
Mike owned 3,000 shares of Merck Corporation and received a quarterly dividend check for $1,140. What was the annual dividend for one share of Merck?
The Walt Disney Company paid a $0.35 annual dividend on a day it closed at a price of $33.86 per share. a. What was the annual dividend for 500 shares? b. What was the quarterly dividend for 500
You own K shares of a stock that is selling for x dollars per share. The quarterly dividend is y dollars per share. a. Express the annual dividend for one share algebraically. b. Express the annual
Nick and Matt are the partners in a local health food store. They needed $73,000 to start the business. They invested in the ratio 3:7, Nick to Matt. a. How much money did each invest? b. What
Use the table above to answer the following questions.a. What was the difference between the 52-week high and the 52-week low for one share of AT&T? b. What was the difference between the day's high
Use the stock bar chart to answer questions below.a. What was the day's open on June 17? b. What was the approximate difference between the day's high and low on June 18? c. On what day was the
Use the candlestick chart to answer the questions below.a. What was the approximate low on June 20?b. What was the approximate high on this date?c. What was the difference between the opening price
Lea owns 800 shares of ABC, Incorporated. On April 6 the corporation instituted a 5-for-2 stock split. Before the split, each share was worth $42.60. a. How many shares did Lea hold after the
Gene owns 1,200 shares of XYX Corporation. The company instituted a 1-for-10 reverse stock split on November 7. The pre-split market price per share was $1.20. a. How many shares did Gene hold after
Use the table of closing prices for Microsoft. Round answers to the nearest cent.a. Determine the 3-day moving averages.b. Determine the 10-day moving averages.
Nick bought some shares of Ford Motor Company (F). a. How many shares did Nick buy? b. How much did each share cost? c. What was the value of Nick's trade? GE 12.5K@26.13▲1.13 F .67K@5.01▼0.38
Patrick sold his shares of AT&T (T). a. How many shares did he sell? b. For how much did each share sell? c. Based on Patrick's sale, what was the closing price of T on the previous trading
The stock in a real estate corporation was selling for $78 per share with an annual dividend of $1.86. It underwent a 3-for-2 split. a. What was the value of one share of the stock after the split?
Suki purchased $9,600 worth of stock and paid her broker a 1.75% broker fee. She had an immediate need for cash and was forced to sell the stock when it was worth $8,800. She used a discount broker
The top three shareholders in a certain corporation each own s shares of a certain stock. The corporation's ownership is represented by a total of x shares of stock. Express the percent of the
Marilyn purchased 2,000 shares of stock for $25.43 per share. She sold them for $44.10 per share. Express her capital gain to the nearest tenth of a percent.
A local hairdresser bought 450 shares of a cosmetics corporation for $33.50 per share. He sold the shares for $39.01 per share. a. What was the percent increase in the price per share? Round to the
Deanna purchased $24,000 worth of stock and paid her broker a 1% broker fee. She sold the stock when it increased to $29,100 three years later and used a discount broker who charged $35 per trade.
The Zyco Corporation pays an annual dividend of $2.10 per share. On Tuesday it closed at $72 per share with a net change of + 0.95. The dividend remained at $2.10 for several months. a. What was the
Examine each scatterplot. Identify each as showing a positive correlation, a negative correlation, or no correlation.a.b. c. d. e. f.
In a-d, each set of bivariate data has a causal relationship. Determine the explanatory and response variables for each set of data. a. Height and weight of a student b. Grade on a math test and
The table shows the personal income per capita (per person) in the United States for seven selected years.a. Draw a scatterplot for the data.b. Describe the correlation.
The following set of ordered pairs gives the results of a science exper- iment. Twelve people were given different daily doses of vitamin C, in milligrams, for a year. This is the x-value. They
The enrollment at North Shore High School is given in the table. In each year, the number of students on the baseball team was 19. Year Enrollment 2006
The MyTunes Song Service sells music downloads. Over the past few years, the service has lowered its prices. The table shows the price per song and the number of songs downloaded per day at that
Apply what you have learned in this lesson to give an interpretation of the quote.
In Exercise 2, would the price of a slice of pizza be labeled as the explanatory variable and the tuition as the response variable? Explain.
The table gives enrollments at North Shore High School. a. Find the equation of the regression line. Round the slope and y-intercept to the nearest hundredth. b. What is the slope of the linear
Examine the data from Exercise 4. Year Enrollment 2006 ......................... 801 2007 ......................... 834 2008 ......................... 844 2009 ......................... 897 2010
Describe each of the following correlation coefficients using the terms strong, moderate, or weak and positive or negative. a. r = 0.21 b. r = - 0.87 c. r = 0.55 e. r = 0.99 d. r = - 0.099 f. r =
The table gives the number of songs downloaded from MyTunes at different prices per song. a. Find the equation of the linear regression line. Round the slope and y-intercept to the nearest
Julie is a waitress. On the left is a log of her tips for yesterday's shift. Amount of restaurant bill ($)Tip Amounts ($)45.55 .................................................... 7.0052.00
Explain why the sign of the slope of a regression line must be the same as the sign of the correlation coefficient.
A CD storage rack is sold to stores at a wholesale price of $18. a. If a store has a $13 markup, what is the retail price of the CD rack? b. Find the percent increase of the markup to the nearest
A bicycle sells for a retail price of b dollars from an online store. The wholesale price of the bicycle is w. a. Express the markup algebraically. b. Express the percent increase of the markup
The graph shows supply and demand curves for the newest SuperWidget.a. What is the equilibrium price? b. What will happen if the price is set at $0.98? c. How many SuperWidgets are demanded at a
The graph below shows supply and demand curves for a new mp3 player accessory.a. What is the equilibrium price?b. Describe the relationship of supply and demand if the item were sold for $20.c.
The supply and demand curves for a new widget are shown in the graph. Notice there are two demand curves. The original demand curve is d1. Months after the product was introduced, there was a
Debbie is president of a company that produces garbage cans. The company has developed a new type of garbage can that is animal- proof, and Debbie wants to use the demand function to help set a
A company that produces widgets has found its demand function to be q = -1,500p + 90,000. a. For each dollar increase in the wholesale price, how many fewer widgets are demanded? b. How many widgets
Interpret the quote according to what you have learned in this chapter.
Solve Exercise 9 using the graph intersection feature on your graphing calculator. Are the answers equivalent?
Variable costs of producing widgets account for the cost of gas required to deliver the widgets to retailers. A widget producer finds the average cost of gas per widget. The expense equation was
Examine the graph of expense and revenue.a. What is the breakeven point?b. If quantity C is sold and C c. If quantity D is sold and D > A, is there a profit or a loss? Explain.d. The y-intercept of
Billy invented an innovative baseball batting glove he named the Nokee and made his own TV infomercial to sell it. The expense function for the Nokee is E = 6.21q + 125,000. The Nokee sells for
Lorne has determined the fixed cost of producing his new invention is N dollars. The variable cost is $10.75 per item. What is the average cost per item of producing W items?

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