Using Graphs to Advertise — Cumulative exam Answers

Korey’s comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering moving to a larger property to allow for greater inventory and customer opportunities in his business. He would like investors to cover the cost of his expansion. The profits of Korey’s comic book store for its first four years are outlined below. According to this information, what would be the best estimate for Korey to quote as expected profits in the next year in his new business plan? Year Net Profits 1 $14,250.00 2 $15,390.00 3 $16,621.20 4 $17,950.90 5

Cindy would like to lease a car worth $56,000 for a three-year period. The leasing company told Cindy that after three years, the car would have a residual value of $40,320. How much of the car’s original value will Cindy have to pay off during her three-year lease?

You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.)

Natasha had a $922.93 balance on her credit card at the beginning of September. Her credit card has an APR of 9.89%, compounded monthly, and a minimum monthly payment of 3.08% of the total balance. The following table shows Natasha’s credit card purchases over the next two months. Month Cost ($) September 33.70 October 61.70 October 27.80 If Natasha makes only the minimum payments, what will her balance at the beginning of November? (Assume that the interest accrues before the monthly payment, and that the monthly payment occurs at the end of the month. Round all dollar values to the nearest cent.)

The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend."Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle. "The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true?

A company offering tax refund anticipation loans is trying to draw new customers. The company guarantees that the annual percentage rate on its loans is 39%. What fees would the company charge on a $1,200 loan if the term of the loan is 18 days? (Round to the nearest dollar).

The following section is a statement from the rental agreement at a local auto rental agency. “Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle. The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter’s total charge at a cost of $4.50 per gallon plus a $5.00 re-fueling charge.”According to the rental agreement, which is not a responsibility of the rental agency representative?

Jan went grocery shopping and only bought items which had been marked down. The items she bought, along with their prices, can be seen below. Item Final Price Markdown Chicken $8.47 15% Milk $2.16 20% Onions $0.89 10% Potato chips $1.45 12% Oranges $1.36 25% Flour $4.39 18% What would be the total of Jan's grocery bill if she purchased all of the items before they were marked down?

The following chart shows a store’s records of sales of stuffed toys for two months. Which of the following are accurate assessments of trends displayed in this graph? I. The market share held by cats increased by about 6.5 percentage points. II. Roughly 22.2% more stuffed toys in the “other” category were sold in October than in September. III. The total number of stuffed toys sold increased by about 2%.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Brandon currently uses. Card ACard BAmount$1,463.82$1,157.98APR13%17%Monthly Payment$24.60$22.14After 8 years, how much will Brandon have saved in interest by consolidating the two balances?

Sam is getting ready for a big date when he realizes that he has no money. His roommate, Bill, also has no money, but he has a credit card. Knowing that nobody will let Sam use Bill’s credit card, Sam asks Bill to pull out a cash advance for $120.00. Bill agrees under the condition that Sam is responsible for all interest that accrues on the cash advance which is a 30% interest rate, compounded monthly. The $120 cash advance is repaid in monthly installments over 5 years. How much should Bill ask Sam to pay in interest for the cash advance?

You work for a lender that requires a 20% down payment and uses the standard debt-to-income ratio to determine a person’s eligibility for a home loan. Of the following, choose the person that you would rate the highest on their eligibility for a home loan. Person A Person B Person C Person D home value $175,000 $200,000 $220,000 $250,000 income $51,000 $58,000 $63,000 $67,000 savings $35,000 $40,000 $42,000 $50,000 recurring debt $350 $250 $200 $450

Tom is in dire need of a new washing machine. He knows what model he would like to get, but doesn't have the cash to pay for it. He plans to get a line of credit (credit card) at the store when he purchases his new washer. He found four different stores that carry the same washing machine for different prices. The lines of credit they offer also come with different APRs. Tom's primary goal is to minimize his monthly payment as he pays the washing machine off over the next 18 months. From which of the four stores should Tom purchase his washing machine? StorePrice ($)Credit Card APRBob's Nuts and Bolts$450.0021%Steve's Scratch and Dent$405.0022%Wally's Washing Machines$432.0019%Al's Appliances$475.0016%

A lender estimates the closing costs on a home loan of $50,000 as listed below. Closing Cost Charge Loan origination $200 Title insurance $530 Attorney’s fees $600 Appraisal $265 Inspection $575 Recording fees $130 Escrow $800 If the lender's good faith estimates are accurate, are they a reasonable amount for closing costs? Why or why not?

Yolanda’s credit card has an APR of 16.22% and a billing cycle of 30 days. The table below shows her transactions with that credit card in the month of November.DateAmount ($)Transaction11/1857.14Beginning balance11/376.95Purchase11/1050.00Payment11/2443.19PurchaseFind Yolanda’s finance charge in November using the previous balance method, the adjusted balance method, and the daily balance method. Among those three possible finance charges, what is the value of the one which is neither lowest nor highest?

Korey is planning to open a comic book store. When the store opens, he plans to be the only employee. As the business grows, he will extend his hours of operations and hire additional employees as necessary. In Korey’s business plan, this information should be included in the _____ component.

Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?

You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.)

Suppose that the countries of Brazil, Argentina, Ecuador, and Venezuela have interdependent economies. The following table shows the imports and exports between each of these countries. All prices are given in millions of equivalent US dollars.Country of OriginExporting toAmount ($ 1,000,000)BrazilArgentina4,691BrazilEcuador4,791BrazilVenezuela1,526ArgentinaBrazil1,881ArgentinaEcuador1,971ArgentinaVenezuela2,153EcuadorBrazil3,106EcuadorArgentina3,672EcuadorVenezuela2,018VenezuelaBrazil4,535VenezuelaArgentina1,577VenezuelaEcuador1,871If these four countries trade only within this group, what is the difference between the highest balance of trade and the lowest balance of trade?

Perry is considering trying to open a new business within the next few years, and he is doing research to determine what kind of businesses tend to be successful. So far, he has compiled two tables. The first shows the number of businesses of several types started in Perry’s city over the course of two years, and the number of those businesses which did not succeed and were forced to shut down within two years of opening. The second deals with separate records of successful new businesses, showing how much profit those new businesses turned over two years. Businesses on the boundary lines fall in the lower category. Type Food Retail Financial Service Opened 3,193 2,280 1,898 5,045 Closed 1,977 1,626 1,443 3,548 Up to $25k $25-50k $50-75k $75-100k Over $100k Food 945 623 601 258 114 Retail 813 548 347 188 63 Financial 316 244 195 86 51 Service 979 739 432 174 124 Using the tables as experimental data, determine whether it is more likely for a new food establishment to succeed and earn up to $25,000, or whether it is more likely for a new financial establishment to succeed and earn profits in either the $25,000-50,000 range or the $50,000-75,000 range, and how much more likely the one situation is than the other. Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 23% is 5 percentage points greater than 18%).