Monthly rent at Countryside Co-ops has increased annually, modeled by the exponential equation y = 2,155(1.062)x-1 . What was the percent increase per year?
> Stock in the 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 you owned 200 shares before the split, how many s
> 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 interest if she holds the bond for 14 years? c. Sascha
> 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
> Revreg Corp pays an annual dividend of $1.60 per share. On Friday it closed at $44 per share with a net change of 10.35. The dividend did not change. a. What was the yield on Friday? Round to the nearest tenth of a percent. b. At what price did Revreg
> Determine the values of a, b, and c in the following matrix equation. 3 4 а 2 b 5 с 1 8 2 34 4 30 52 ||
> 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
> A political polling company has been assigned to survey local voters a week before the upcoming election. The company will need to hire interviewers and statisticians for the job. Statisticians make $1,200 per week and interviewers make $800 per week. Th
> Greenfield Industries produces rotors for manufacturers in Hartford, Connecticut, and Des Moines, Iowa. Hartford needs at least 21 rotors, and Des Moines needs at least 40 rotors. Greenfield is able to produce and send at most 150 rotors to these two man
> Hi End 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 o
> 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 inv
> Maribel was approved for a 7-year private student loan at 6.8% to cover her college costs of $10,900. a. Determine her monthly payment. Round to the nearest cent. b. What is the total amount she will pay back? c. What is the total interest amount?
> The quarterly dividend for Tiffany, a jewelry company, was $0.40 during the first quarter of 2016. What was the annual dividend for 2,000 shares at that time?
> 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,
> A group of college students are starting a small business called Custom Tech. They make customized cell phone and tablet cases. Their profits are $40 for the cell phone case and $60 for the tablet case. The process involves both design hours and manufact
> In each of the following, you are given an objective function and the vertices of a feasible region. Determine both the maximum and minimum values of the objective function as well as the point at which they occur. a. P = 11x + 15y (5, 9), (15, 15), (17
> The vertices of a feasible region are listed below. What is the minimum cost for the objective function C = 45x + 53y? a. (3, 7), (15, 20), (22, 20), (23, 5) b. (0, 9), (12, 8), (20, 9), (9, 0)
> The vertices of a feasible region are listed below. What is the maximum profit for the objective function / a. (0, 10), (0, 0), (20, 0) b. (1, 8), (2, 1), (8, 4), (10, 6)
> Use Nate’s matrix N from exercise 7b above. Nate knows that in the spring semester his tuition will increase by 5%, his supplies will decrease by 5%, his transportation will remain the same, his textbook costs will remain the same, and his fees will incr
> Determine whether each of the following points falls within the profit feasible region defined by / a. (0, 5) b. (2, 3) c. (0, 0) d. / e. (1.75, 2.75)
> How might the quote apply to what you have learned in this section?
> 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.
> 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?
> Rodrigo is attending a 4-year college. As a freshman, he was approved for a 10-year, federal unsubsidized student loan in the amount of $5,300 at 4.29%. He knows he has the option of beginning repayment of the loan in 4.5 years. He also knows that during
> 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
> 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.
> Ramon bought x shares of Xerox stock for a total of $40,000. Express the price he paid per share algebraically.
> 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.
> Mitchell bought 600 shares of Centerco 2 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? Round to the nearesttenth of a percent. b. What was the total purchase price f
> 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?
> Jess and Nate are married teachers. They keep individual budget charts of their graduate school education–related expenses for tax purposes. The charts below are for the fall semester. a. Let matrix J be a 5 × 4 matrix co
> 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. a. Represent half of the d shares algebraically. b. Re
> 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 algebraically. b. Express the capital gain algebraical
> The policy of the Black Oyster Pawnshop is to lend up to 30% of the value of a borrower’s collateral. Pete wants to use a $2,000 guitar and a $900 camera as collateral for a loan. What is the maximum amount that he could borrow from Black Oyster?
> 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 m
> 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.
> 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 section?
> Helene and Vick moved into an apartment and pay $1,875 rent per month. The landlord told them that the rent has increased 3.28% per year on average. Express the rent y as an exponential function of the number of years they rent the apartment.
> The Basil family has a summer co-op apartment on a beach and pays a monthly mortgage payment of $1,120 and a monthly maintenance fee of $800. The Basils get approval from the co-op board of directors to sublet their apartment, since they do not plan to u
> Linda wants to purchase a Leisure Heights condominium. She will borrow $100,000 from the Duchess Savings Bank. The bank is presently offering a 30-year fixed-rate mortgage with an APR of 4.1%. Her monthly maintenance fee will be $310. a. What is the mon
> Ethel rented an apartment from a landlord in Sullivan County. Her rent was $1,200 per month until she moved out last week. The new tenants pay $1,350 per month. Represent the rent increase as a percent, to the nearest tenth of a percent.
> Raymond pays $1,000 per month in rent, and he is expecting a rent increase. His landlord agreed to a gradual increase according to the following plan: January, 0% increase February, 5% increase March, 10% increase from January April, 15% increase from Ja
> The Jacobs Family owned a condo in Bethpage Acres. They bought it for $130,000 6 years ago and sold it last week for $195,000. Who keeps the profit from the sale?
> Ron has a co-op in Astor Cooperative. The total shares in the cooperative are 40,000 shares. If Ron owns 500 shares, what percentage of the cooperative corporation does he own?
> Sarah is taking out a $24,400, 4-year new-car loan with an APR of 2.88%. What is the finance charge for this loan? Round to the nearest hundred dollars.
> Last year, Anna paid x dollars per month for a co-op maintenance fee. One third of this fee was for property taxes. How much property tax did Anna pay last year?
> Three years ago, Jerry purchased a co-op. This year his monthly maintenance fee is $1,397. Twenty percent of this fee is for Jerry’s property taxes. How much will Jerry pay this year in property taxes?
> Joe wants to rent an apartment with an initial monthly rent of $1,400. He has been told that the landlord raises the rent 1.25% each year. Set up an exponential function that models this situation. Calculate the rent after 12 years. Round to the nearest
> The Tensers bought a mobile home for $89,500. They rent space in a trailer park for $900 per month. The rent increases 2% per year. a. If they put a down payment of $10,000 on the trailer, how much must they borrow? b. If they borrow the amount from pa
> The monthly rent for a one-bedroom apartment at North Shore Towers for 6 consecutive years is shown in the table. Year ……………………………………………………………………………. Monthly Rent ($) 2011 ……………………………………………………………………………………………… 2,500 2012 ………………………………………………………………………………………
> Maria borrowed $120,000 from a bank when she bought her co-op for $156,000. The price dropped x dollars since she bought it. She now owes the bank $114,000, which is more than she could sell the co-op for. Write an inequality that expresses the fact that
> Andrew and Meghan moved into an apartment in the city and pay $2,700 rent per month. The landlord told them the rent has increased 11.1% per year on average. a. Express the rent y as an exponential function of x, the number of years they rent the apartm
> Which of the following matrix operations are defined? 7 8 2 1 0 2 3 6 5 9 9 8 7 C = Given A = 4 B = 6. D = 1 2 3 4 3 4 5 6 2 1 7 8 9 9 4 5 6 E = 8 7 6 5 F = [4 3] G= 0 1 H= 7 8 9 2 3 а. А + В b. А +H с. 2Н — ЗА d. G +H е. ВС f. АЕ g. A? h. D?
> What does this quote mean to you when viewed in the context of what you learned in this section?
> Carly took a $7,000, 3-year loan with an APR of 3.15%. a. What is the monthly payment? Round to the nearest cent. b. What is the total amount of the monthly payments? c. What is the finance charge?
> The historical prices of a car are recorded for 11 years as shown. a. Construct a scatter plot for the data. b. Determine the exponential depreciation equation that models this data. Round to the nearest hundredth. c. Determine the depreciation rate
> A graphing calculator has determined this exponential regression equation based on car value data: y = a∗ bx, a = 18,547.23 5, and b = 0.86255. What is the rate of depreciation for this car? How much is this car worth after 6 years; 78 months; w months?
> A graphing calculator has determined this exponential regression equation based on car value data: y = a∗ bx 5, a = 20,952.11, and b = 0.785 5. What is the rate of depreciation for this car? How much is this car worth after 6 years; 78 months; w years?
> Luisa purchased a used car for D dollars. The car depreciates exponentially at a rate of E% per year. Write an expression for the value of the car in 5 years, in A years, and in M months.
> Laura’s new car cost her $21,000. She was told that this make and model depreciates exponentially at a rate of 8% 5 8 per year. How much will her car be worth after 100 months?
> Chris purchased a used car for $19,700. The car depreciates exponentially by 10% per year. How much will the car be worth after 6 years? Round your answer to the nearest penny.
> Shannon’s new car sold for $28,000. Her online research indicates that the car will depreciate exponentially at a rate of 5.25% per year. Write the exponential depreciation formula for Shannon’s car.
> Seamus bought a car that originally sold for $40,000. It exponentially depreciates at a rate of 7.75% per year. Write the exponential depreciation equation for this car.
> Amber bought a used car valued at $16,000. When this car was new, it was sold for $28,000. If the car depreciates exponentially at a rate of 9% per year, approximately how old is the car?
> What are the dimensions of each of the following matrices? a. [7] -3 b. 3 c. [4 10 17 15 11] с. 1 0 0 d. 0 1 0 0 1 е. 0.5 0.75 0.125 0.2 0 0 0 0
> Sal took out a 20-day payday loan from the Just Loans store. He borrowed $350 and is being charged $75 interest. What is the APR for this loan?
> A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year.
> What is the exponential depreciation rate, expressed as a percent to the nearest tenth of a percent, for a car that originally sells for $52,000 when new but exponentially depreciates to $45,000 after 32 months?
> What is the exponential depreciation rate, expressed as a percent to the nearest tenth of a percent, for a car that originally sells for $30,000 when new but exponentially depreciates after 5 years to $18,700?
> Chaz bought a 2-year-old car. He paid D dollars. This make and model depreciates at a rate of E percent per year. Write an expression for the original selling price of the car when it was new.
> The car that Diana bought is 8 years old. She paid $6,700. This make and model depreciates exponentially at a rate of 14.15% per year. What was the original price of the car when it was new?
> Raphael purchased a 3-year-old car for $16,000. He was told that this make and model depreciates exponentially at a rate of 5.45% per year. What was the original price value of the car when it was new?
> The historical values of a car are recorded for 17 years as shown. a. Construct a scatter plot for the data. b. Determine the exponential depreciation formula that models this data. Round to the nearest hundredth. c. Determine the depreciation rate.
> How might the quote apply to what you have learned?
> Rebecca has a credit limit of $6,500 on her credit card. She had a previous balance of $398.54 and made a $250 payment. The total of her purchases is $1,257.89. What is Rebecca’s available credit?
> Rollie has a credit card with a credit limit of $4,000. He made the following purchases: $425.36, $358.33, $377.11, and $90.20. What is Rollie’s available credit?
> Pauline’s credit card was lost on a business trip. She immediately reported it missing to her creditor. The person who found it hours later used it and charged w dollars’ worth of merchandise on the card, where w < $50. How much of the w dollars is Pauli
> Examine this portion of Colleen’s budget chart for July, August, and September: Let matrix C be a 6 ×3 matrix whose elements are the entries in the budget chart above. a. What is the value of the element C3,
> What is the previous balance? ACCOUNT INFORMATION Account Number 4-10700000 Billing Date 30 May Payment Due 8 Jun TRANSACTIONSS DEBITS / CREDITS (-) 9 MAY 3291684271 Fanelli Furs $975.00 12 MAY 594683219 Brooklyn Pets $32.50 15 MAY 7677095385 Maple
> How many days are in the billing cycle? ACCOUNT INFORMATION Account Number 4-10700000 Billing Date 30 May Payment Due 8 Jun TRANSACTIONSS DEBITS / CREDITS (-) 9 MAY 3291684271 Fanelli Furs $975.00 12 MAY 594683219 Brooklyn Pets $32.50 15 MAY 7677095
> What is the minimum amount that can be paid? ACCOUNT INFORMATION Account Number 4-10700000 Billing Date 30 May Payment Due 8 Jun TRANSACTIONSS DEBITS / CREDITS (-) 9 MAY 3291684271 Fanelli Furs $975.00 12 MAY 594683219 Brooklyn Pets $32.50 15 MAY 76
> When is the payment for this statement due? ACCOUNT INFORMATION Account Number 4-10700000 Billing Date 30 May Payment Due 8 Jun TRANSACTIONSS DEBITS / CREDITS (-) 9 MAY 3291684271 Fanelli Furs $975.00 12 MAY 594683219 Brooklyn Pets $32.50 15 MAY 767
> What is the sum of all purchases made during the billing cycle? ACCOUNT INFORMATION Account Number 4-10700000 Billing Date 30 May Payment Due 8 Jun TRANSACTIONSS DEBITS / CREDITS (-) 9 MAY 3291684271 Fanelli Furs $975.00 12 MAY 594683219 Brooklyn Pe
> A bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3 years. Round to the nearest cent. a. Find the interest if it is compute
> Write an algebraic expression for the interest earned on a $15,000 deposit for t months at 1.75% interest, compounded continuously.
> How might the words in the quote apply to what you learned about limits in this section?
> How many purchases were made during the billing cycle? ACCOUNT INFORMATION Account Number 4-10700000 Billing Date 30 May Payment Due 8 Jun TRANSACTIONSS DEBITS / CREDITS (-) 9 MAY 3291684271 Fanelli Furs $975.00 12 MAY 594683219 Brooklyn Pets $32.50
> Shania bought a $1,455 drum set on an installment plan. The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each. a. How much is the down payment? b. What is the total amount of the monthly payments? c. How much wi
> The previous balance after the last billing cycle is represented by A, recent purchases by B, payments by C, finance charge by D, late charge by E. Express the relationship among the variables that must be true in order for the new balance to be $0.00.
> Examine these three matrices: a. What are the dimensions of Y? b. List the elements of Z with their location symbols. Determine each matrix in parts c–i. c. x + z d. z + x e. x+ y + z f. z- y g. 4z h. 0.5x i. 3(y+x) 2.5 0 9 6. X
> Determine the amount of the payment made on the following credit card. Previous Balance Рауments / Credits New Purchases Late Charge Finance Charge New Balance Minimum Рayment SUMMARY $939.81 $125.25 $3.00 $15.38 $833.44 $25.00
> A credit card statement is modeled by the following spreadsheet. Entries are made in columns A–F. Write the formula to calculate the available credit in cell G2. A B D E F G Late Finance Credit Available Credit Previous New 1 Balan
> Check the new balance entry on the monthly statement below by using the first five entries. If the new balance is incorrect, write the correct amount. Previous Balance Раyments / Credits New Purchases Late Finance New Balance Minimum Рayment SUMMARY
> Examine the summary section of the monthly credit card statement below. Use the first five entries to determine whether the new balance is correct. If it is incorrect, write the correct amount. Previous Balance Рayments I Credits New Purchases Late
> Fill in the missing amounts for a–d. ACCOUNT INFORMATION Туре Revolving Account Number 234 98765 90 Billing Date 16 Aug Payment Due Date 1 Sep TRANSACTIONS DEBITS / CREDITS (-) 6 AUG Meghan's Shop S85.63 7 AUG Раyment $63.00 8 AUG
> Examine this portion of the credit card summary. a. Express the sum of the cycle’s daily balances algebraically. b. Express the monthly periodic rate as an equivalent decimal without the % symbol. Average Daily Balance # Days in
> Zea has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125. a. Estimate the number of months that Zea can continue this pattern until she reaches her credit limit. b. Consider that part of the $1
> Sheldon’s monthly periodic rate is 1.95%. What is the APR?
> Faith is taking an $8,100, 2½-year loan with an APR of 3.22%. What is the monthly payment for this loan? Round to the nearest cent.
> The APR on Leslie’s credit card is currently 21.6%. What is the monthly periodic rate?
> How might the quote apply to what you have learned?
