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mathematics
financial algebra advanced algebra
Financial Algebra Advanced Algebra With Financial Applications 2nd Edition Robert Gerver, Richard J. Sgroi - Solutions
Alexa is starting a small business. She has done a great deal of research in supply, demand, expense, and revenue directly relating to what her business will be selling. Based on the data, she has determined her profit function to be P = –200p2 – 200p + 12,025, where P represents profit and p
A random group of 900 students, from the 5 million students in a certain state, is to be taken using the random number table.a. How many digits will be needed to be assigned to each person?b. Would it be possible for the random sample of 900 students to be all girls? Explain.c. Would it be possible
Van Siclen Farms plants only corn and soybeans on their 4,000-acre fields. The corn yields a profit of $160 per acre, and the soybean profit is $340 per acre. This year the owners have decided to plant no more than 2,400 acres of corn and no more than 3,200 acres of soybeans. How many acres of each
Is the linear regression line a good predictor? Explain.A company produces a security device known as Toejack. Toejack is a computer chip that parents insert between the toes of a child, so parents can track the child’s location at any time using an online system. The company has entered into an
Write the profit function for the given expense and revenue functions.E = –2,500p + 80,000R = – 330p2 + 9,000p
As the price of the eyePOD increases, what is expected to happen to the quantity demanded?
The Frederick Fertilizer Company has developed a fertilizer they think will make plants grow faster, taller, and heartier. They need to conduct an experiment. They need to plant seeds randomly into different containers— some with the fertilizer and some without. Of course, in any bag of seeds,
A financial manager wants to invest up to $400,000 of his client’s money in two investment plans. Plan A pays an annual interest rate of 6% and Plan B pays an annual interest rate of 8%. Although Plan B pays a higher interest rate, there is some risk involved. The manager and the client have
A school’s student government organization is doing a study of students who copy each other’s homework. They randomly select 200 students and have them fill out an anonymous questionnaire. Which do you think is a greater problem in this scenario, nonresponse or under coverage? Explain.
Examine the data to see if there is any relationship between the price and the quantity demanded. Determine the correlation coefficient between price and demand, rounded to the nearest hundredth. Explain the significance of the correlation coefficient.A company produces a security device known as
Write the profit function for the given expense and revenue functions.E = –12,500p + 78,000R = –1,450p2 + 55,000p
The horizontal axis represents price, and the vertical axis represents quantity. Does the demand function have a positive or negative slope? Explain.
Decide whether each of the following questions are biased. Explain your decisions with support from the discussion of question bias.a. Do you want a hot dog or your usual chicken sandwich?b. Should smoking be permissible in a person’s own home?c. Don’t you think Mr. Wankel gives too much
HiEnd Rugs manufactures silk and wool fiber rugs. Their warehouse has 2,400 lots of silk fiber and 1,800 lots of wool fiber available during the week of May 5 for production of their Premier and Elegant lines of carpets. A roll of Premier uses 40 lots of silk and 20 lots of wool. A roll of Elegant
As part of a study on exercising, Liam has to use a treadmill for 20 minutes each day, and then take and record his heart rate and blood pressure. Liam skips days, sometimes doesn’t do the entire 20 minutes, and sometimes forgets to record his heart rate and blood pressure. Is this an example of
Laurie Tenser is single and works in a clothing store. The following information was reported on her W-2 form: federal income tax withheld $1,131.00, wages $21,265.50, and state income tax withheld $900. Laurie received $293 in interest from her bank account. Fill out Form 1040EZ for Laurie.
What was the difference between the 52-week high and 52-week low price for one share of Delta Airlines? 52-Week High 52-Week Low 232,420 198,600 51.44 124.83 69.19 52.77 145.80 38.06 87.50 47.25 34.61 102.54 Symbol BRK-A MCD NKE Stock VZ Verizon DAL TM Berkshire Hathaway McDonalds Nike Delta
What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you’ve learned about businesses in this lesson?Genius is 1% inspiration and 99% perspiration. Accordingly, a genius is often merely a talented person who has done all of his or her homework.
Years ago, Home Depot had an annual dividend of $0.90. If you owned 4,000 shares of Home Depot, how much did you receive annually in dividends?
On what date did the stock close at a price higher than it opened? Volume Apr. 28 29 30 695 690 685 680 675 670 665 May 1 660 655 650 I 2 60 40 20 0 Thousands
Tom purchased shares of DuPont for $47.65 per share. He plans to sell the shares when the stock price rises 20%. At what price will he sell his shares?
Determine the 3-day SMA for the 10-consecutive-day closing prices of Angie’s List Inc. listed below.$7.78 $8.08 $7.99 $8.02 $7.89 $8.72 $9.19 $9.16 $8.98 $9.38
Barnes and Noble had a $0.15 annual dividend during 2016. If you owned 500 shares of Barnes and Noble at that time, how much did you receive on a quarterly dividend check?
What was the day’s opening price on the following days?April 28April 29April 30May 1May 2 Volume Apr. 28 29 30 695 690 685 680 675 670 665 May 1 2 660 655 650 I 60 40 20 0 Thousands
What is the difference between the day’s high and low prices for McDonald’s Corp?
Determine the 5-day SMA for the 10-consecutive-day closing prices for Sherwin-Williams Co listed below.$242.50 $273.98 $278.16 $293.94 $285.04$290.80 $296.02 $291.01 $293.41 $286.85
Tori bought x shares of Mattel stock for m dollars per share. She sold all of the shares months later for y dollars per share. Express her capital gain or loss algebraically.
If you own r shares of a stock with an annual dividend of p dollars, express the amount of your quarterly dividends algebraically.
What was the day’s high price on April 29? Volume Apr. 28 29 30 695 690 685 680 675 670 665 May 1 2 660 655 650 I 60 40 20 0 Thousands
Rewrite the volume for each of the following stocks as “sales in 100s.”a. Berkshire Hathaway Inc.b. McDonald’s Corpc. Verizond. Toyota
Maribel 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.
Determine the 4-day SMA for the 10-consecutive-day closing prices for Wal-Mart Stores Inc. listed below.$57.35 $58.61 $57.98 $58.07 $57.50$56.97 $56.35 $56.83 $57.16 $57.18
How many shares of Home Depot are indicated on the ticker? HD 32.3M@126.261.13 S 1.1K@3.33 0.78 VZ 3.32K@51.02A2.27 XOM 0.66K@81.75 1.58
Vilma owns 750 shares of Torchmark. On July 2, the corporation instituted a 3-for-2 stock split. Before the split, each share was worth $82.44.a. How many shares did Vilma hold after the split?b. What was the post-price per share after the split?c. Show that the split was a monetary nonevent for
Ramon bought x shares of Xerox stock for a total of $40,000. Express the price he paid per share algebraically.
If you own r shares of a stock with an annual dividend of p dollars, express the amount of your quarterly dividends algebraically.
Determine the closing price on April 21 for each of the following stocks.a. Delta Airlinesb. Verizon
What was the day’s low price on May 1?
Determine the 6-day SMA for the 12-consecutive-day closing prices for Exxon Mobil Corp listed below.$92.60 $92.46 $92.45 $91.79 $93.07 $89.70$89.61 $89.51 $90.07 $88.82
What is the total value of all of the Sprint Corp shares traded? HD 32.3M@126.26▲1.13 S 1.1K@3.33 0.78 VZ 3.32K@51.02A2.27 XOM 0.66K@81.75 1.58
Mike owns 2,400 shares of JXV. 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 after the split?b. What was the post-split price per share?c. Show that the split was a monetary nonevent for Mike.
What was the day’s close on May 2? Volume- Apr. 28 29 30 695 690 685 680 675 670 665 May 1 2 660 655 650 I 60 40 20 0 Thousands
In 2010, Joe bought 200 shares in Nikon Corp for $22.07 per share. In 2016 he sold the shares for $15.11 each.a. What was Joe’s capital loss?b. Express Joe’s capital loss as a percent, rounded to the nearest percent.
Mike owned 3,000 shares of CreeChurrs Corporation and received a quarterly dividend check for $1,140. What was the annual dividend for one share of CreeChurrs?
Determine the 2-day SMA for the 10-consecutive-day closing prices for Western Digital Corp listed below.$101.96 $101.80 $101.50 $103.07 $104.94$105.12 $105.66 $104.76 $100.56 $101.31
Determine the 4-day SMA for the 10-consecutive-trading-day closing prices for Toyota Motor Corp listed below.$121.69 $122.85 $120.70 $123.61 $123.18$122.03 $122.82 $124.14 $124.92 $124.06
How can ▼1.58 be interpreted? HD 32.3M@126.26▲1.13 S 1.1K@3.33 0.78 VZ 3.32K@51.02A2.27 XOM 0.66K@81.75 1.58
Verify that Jon’s method works to determine the post-split price and shares outstanding for HVC, which executed a 4-for-1 split on July 10 with 22,676,800 outstanding shares and a market price of $203.80 per share before the split.Jon noticed that most traditional splits are in the form x-for-1.
Maria purchased 1,000 shares of stock for $35.50 per share in 2014. She sold them in 2016 for $55.10 per share. Express her capital gain as a percent, rounded to the nearest tenth of a percent.
How can @126.26 be interpreted? HD 32.3M@126.26▲1.13 S 1.1K@3.33 0.78 VZ 3.32K@51.02A2.27 XOM 0.66K@81.75 1.58
General Motors stock fell from $41 per share in 2013 to $24.98 per share during 2016.a. If you bought and then sold 300 shares at these prices, what was your loss?b. Express your loss as a percent of the purchase price. Round to the nearest tenth of a percent.
Jean owned x shares of a corporation and received a quarterly dividend check for y dollars. Express the annual dividend for one share algebraically.
Seventy-two percent of the shareholders in a service corporation are women. If the corporation is owned by 45,600 people, how many of the shareholders are women?
On April 22, which stock(s) had a 52-week high that was approximately 30% higher than the 52-week low?
Bootle Corp paid Leslie a quarterly dividend payment for $828. Leslie owns 450 shares of Bootle. What was the quarterly dividend for one share of Bootle?
What was the approximate net change from April 29 to April 30? Express that net change as a monetary amount and as a percent to the nearest tenth. Volume Apr. 28 29 30 695 690 685 680 675 670 665 May 1 2 660 655 650 I 60 40 20 0 Thousands
Determine the 3-day SMA for the 10-consecutive-day closing prices for Procter & Gamble Co listed below.$66.21 $65.90 $67.05 $67.03 $66.80$66.65 $66.65 $65.80 $65.92 $65.21
How can XOM .66K be interpreted? HD 32.3M@126.26▲1.13 S 1.1K@3.33 0.78 VZ 3.32K@51.02A2.27 XOM 0.66K@81.75 1.58
Elliott purchased shares of Microsoft in 2016 for $52.50 per share. He plans to sell them as soon as the price rises 20%. At what price will he sell his shares?
Walt Disney Co paid a $1.42 annual dividend on a day it closed at a price of $96 per share.a. What was the annual dividend for 500 shares?b. What was the quarterly dividend for 500 shares?c. Express the yield as a fraction.d. What was the yield to the nearest tenth of a percent?
The 120 shareholders of a corporation are voting for a new board of directors. Shareholders receive one vote for each share they own. Would it be possible for one shareholder’s votes to choose the new board of directors? Explain.
If the April 23 net change for Toyota was 10.79, what was the closing price for that day?
Aaron owned x shares of a corporation and received an annual dividend of y dollars. Express the quarterly dividend for one share algebraically.
The spreadsheet on the right can be used to compute the yield. Write the formula that can be used to compute the yield in cell C2. A 1 Price per Share 2 37.12 3 44.55 4 65.29 5 14.35 B C Annual Dividend Yield 1.51 1.77 2.01 0.48
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 dividend for all k shares algebraically.c. Express the yield as an algebraic fraction.
Zyco Corp pays an annual dividend of $2.10 per share. On Tuesday it closed at $72 per share with a net change of 10.95. The dividend remained at $2.10 for several months.a. What was the yield on Tuesday? Round to the nearest tenth of a percent.b. At what price did Zyco close on Monday?c. What was
Approximately how many shares were traded on April 30? Volume- Apr. 28 29 30 695 690 685 680 675 670 665 May 1 2 660 655 650 I 60 40 20 0 Thousands
Determine the 6-day SMA for the 10-consecutive-trading-day closing prices for SunEdison Inc. listed below.$2.65 $2.63 $2.70 $2.63 $2.50 $2.65 $2.66 $2.56 $2.52 $2.37
Austin purchased shares of stock for x dollars in 2015. He sold them years later for y dollars per share.a. Express his capital gain algebraically.b. Express his capital gain as a percent of the purchase price.
At the end of the trading day on April 25, Riveters Inc. closed at $28.84, which was a 15.22% net change from the previous day’s close. What was the approximate close on the previous day?
Use the table below to answer a-h.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 and low for one share of Southern Copper?c. Which stock had a close that was furthest from the day’s low?d.
Approximately how many fewer shares were traded on April 28 than on May 2? Volume- Apr. 28 29 30 695 690 685 680 675 670 665 May 1 2 660 655 650 I 60 40 20 0 Thousands
How can ▲0.04 be interpreted? PG 4.5K@81.10 0.39 BAC 0.65M@12.70 0.54 DIS 2.55K @95.31 1.08 K 0.76K@73.45 ▲0.04
Construct a candlestick chart for the data presented in Exercise 12.Use the following data to construct a stock bar chart for the 5-day period. Day Open Close High Low 1 20.48 20.24 20.50 20.20 2 20.21 20.25 20.30 20.00 3 20.30 20.10 20.34 20.02 4 20.17 20.44
Write the pre-split market cap formula in cell B5 and the post-split market cap formula in C5.The ratio for the split is entered in cells B2 and C2. For example, the ratio of 2-for-1 would be entered as a 2 in B2 and a 1 in C2. The number of pre-split shares is entered in B3 and the pre-split price
Use a spreadsheet to determine the 7-day SMA. 7-Apr 24.60 14-Apr 22.51 21-Apr 25.03 8-Apr 23.76 15-Apr 22.80 22-Apr 25.12 9-Apr 23.58 16-Apr 23.44 23-Apr 24.63 17-Apr 24.03 24-Apr 25.76 10-Apr 23.71 11-Apr 23.36 18-Apr 25.11 25-Apr 26.60 2-May 26.39 28-Apr 26.81 29-Apr 26.32 5-May 25.75 6-May
On June 19, Note Quest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was $33.99. After the split, Keisha received a check for a fractional part of a share. What was the amount of that check?
During 2003, a share of stock in Coca-Cola Co sold for $39. Michelle bought 300 shares. During 2008, the price hit $56 per share, but she decided to keep them. By 2016, the price of a share had fallen to $44, and she had to sell them because she needed money to buy a new home. Express the decrease
Use a spreadsheet to determine the 10-day SMA. 19.32 31-Mar 19.92 8-Apr 19.00 16-Apr 18.72 24-Apr 19.14 2-May 18.69 17-Apr 19.05 25-Apr 19.11 5-May 19.10 1-Apr 20.33 9-Apr 2-Apr 19.95 10-Apr 18.77 18-Apr 19.47 28-Apr 18.87 6-May 19.19 3-Apr 20.12 11-Apr 18.50 21-Apr 19.56 29-Apr 18.97
Black Oyster Corp is going out of business. All of the corporate assets are being sold. The money raised will be split by the stockholders. Which stockholders, the common or preferred, receive money first?
On February 26, Berkshire Hathaway closed at $197,690 per share. One year earlier, one share closed at $223,970. What was an approximate 1-year percent change?
Suppose that the volume numbers had been listed in hundreds on the table. How would that have changed the labels?
How many shares of Kellogg Co are indicated on the ticker? PG 4.5K@81.10 0.39 BAC 0.65M@12.70 0.54 DIS 2.55K @95.31 1.08 K 0.76K@73.45 0.04
A share of Southside stock sold for $37. The annual dividend is $1.85. Three years later the stock has increased 17% in value and the dividend has increased 5%.a. What is the price per share 3 years later?b. What is the dividend 3 years later? Round to the nearest cent.c. What is the yield 3 years
A private corporation owned by 35 shareholders is worth $1.7 million. The corporation loses a lawsuit worth $3 million. What is the value of any personal property of the shareholders that can be taken to pay the settlement? Explain.
Use a spreadsheet to determine the 2-day, 3-day, and 5-day SMA. 31-Mar 440.47 8-Apr 467.81 16-Apr 455.03 24-Apr 543.04 2-May 581.29 1-Apr 465.71 9-Apr 464.19 17-Apr 449.54 25-Apr 544.06 5-May 594.90 2-Apr 465.70 10-Apr 469.08 18-Apr 539.41 28-Apr 552.12 6-May 586.36 3-Apr 455.12 11-Apr 457.45
What is the total value of all of the Bank of America shares traded? PG 4.5K@81.10 0.39 BAC 0.65M@12.70 0.54 DIS 2.55K @95.31 1.08 K 0.76K@73.45 ▲0.04
The stock chart shows the 3-day and 10-day SMA for 20 consecutive trading days. Identify the crossovers and discuss the implications. Closing Price 50 48 46 44 42 40 38 36 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Trading Days - 3-Day SMA 10-Day SMA
Alexa purchased 700 shares of Campagna Corp stock for x dollars per share in 2005. She sold them in 2010 for y dollars per share, where y < x.a. Did Alexa have a gross capital gain or a gross capital loss? Explain.b. Alexa used the formula 700y – 700x / 700x to compute the percent of the loss.
How can @12.70 be interpreted? PG 4.5K@81.10 0.39 BAC 0.65M@12.70 0.54 DIS 2.55K @95.31 1.08 K 0.76K@73.45 0.04
Write the spreadsheet formula that will calculate the post-split number of outstanding shares in C3.The ratio for the split is entered in cells B2 and C2. For example, the ratio of 2-for-1 would be entered as a 2 in B2 and a 1 in C2. The number of pre-split shares is entered in B3 and the pre-split
Use the candlestick chart to answer the questions.a. On which days were opening prices higher than the closing prices?b. On which days were the closing prices higher than the opening prices?c. What was the approximate closing price on April 28?d. What was the approximate high price on May 1?e. What
How can K 0.76K be interpreted? PG 4.5K@81.10 0.39 BAC 0.65M@12.70 0.54 DIS 2.55K @95.31 1.08 K 0.76K@73.45 ▲0.04
Write the spreadsheet formula that will calculate the post-split price per share in C4.The ratio for the split is entered in cells B2 and C2. For example, the ratio of 2-for-1 would be entered as a 2 in B2 and a 1 in C2. The number of pre-split shares is entered in B3 and the pre-split price is
The Zeescore Corporation pays an annual dividend of $2 per share. On Wednesday it closed at $61 per share with a net change of 20.85. The dividend remained at $2 for a year.a. What was the yield on Wednesday? Round to the nearest tenth of a percent.b. At what price did Zeescore close on Tuesday?c.
Construct a candlestick chart for the data presented in Exercise 13.Use the following data to construct a stock bar chart for the 5-day period. Day Open Close High Low Volume 1 59.75 59.60 60.00 59.22 7,900,000 2 59.15 60.20 60.50 59.15 8,000,000 3 60.00 59.58 60.61 59.55 8,200,000 59.55 60.90
Use the following 25 consecutive days’ closing prices for Apple Inc. to determine linear, quadratic, cubic, and quartic regression equations. What trends do you see? What are the predictions for the closing price on the 26th trading day? Starting with 1/22 as day 1, 1/25 as day 2, etc., use the
What was the previous day’s closing price for each stock?a. Procter & Gamble Cob. Bank of America Corpc. Walt Disney Cod. Kellogg Co PG 4.5K@81.10 0.39 BAC 0.65M@12.70 0.54 DIS 2.55K @95.31 1.08 K 0.76K@73.45 ▲0.04
Use the following 25 consecutive days’ closing prices for Target Corp to determine linear, quadratic, cubic, and quartic regression equations. What trends do you see? What are the predictions for the closing price on the 26th trading day? Starting with 1/22 as day 1, 1/25 as day 2, etc., use the
Danielle is examining the change in the money flow for Yahoo! Inc. (YHOO) shares on two consecutive dates. The information is given in the table. Do the December 1 numbers reflect a positive or negative money flow? Explain. Date Dec 1 Nov.
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