Long Term Purchases Answers

Olivia bought a $1,874 sprinkler system with her credit card. Her credit card has an APR of 10.31%, compounded monthly. She made no other purchases on the card until the sprinkler system was fully paid for, which took four years of identical monthly payments. Over the eight years that Olivia kept the sprinkler system, it used an average of $2.11 in water per week. After eight years, what percentage of the total lifetime cost of the system did the original price make up? (Round all dollar values to the nearest cent.)

You are considering making a major purchase on your credit card. You should ask yourself the following questions, except which answer choice?

From the statements below, identify the way or ways in which making only minimum monthly payments on a long-term credit purchase can be a disadvantage.I. It is illegal to make only the minimum payments for more than one year.II. Repeatedly making minimum payments harms your credit score.III. The total cost is higher if the length of the debt is longer.

Brian bought a new air conditioning unit on his credit card. The unit had a base price of $435. Brian made no other purchases on his credit card. Brian’s credit card has an interest rate of 9.4%, compounded monthly, and Brian paid off the balance by making monthly payments for a year and a half. If the sales tax in Brian’s area is 8.51%, how much did Brian pay in total? (Round all dollar values to the nearest cent.)

Robert is looking to buy a deep fryer. He has narrowed his search down to two models. The following table gives the details of the prices, cost per use in electricity and oil, and lifespan of the two models Robert is considering to purchase. Brand Brand P Brand Q Price $144.00 $37.50 Avg. Cost/Use $0.49 $0.75 Lifespan 6 years 2 years Robert plans on using his deep fryer about eight times per month. After six years, which brand will have the lower lifetime cost, and by how much? Hint: Assume that either deep fryer can be repurchased at the same price, if needed to provide the desired length of service.

Nicole used her credit card to buy a $1,255 mattress. Her credit card has an APR of 11.56%, compounded monthly, and the mattress was the only purchase on the card. Nicole paid off the mattress after two and a half years. If the sales tax in Nicole’s area is 9.08%, how much interest did Nicole pay in total? (Round all dollar values to the nearest cent.)

Of the following, which statement or statements accurately reflect a way in which credit can be safer than cash?I. If your credit card gets stolen, you can cancel it and get your money back.II. It is harder to lose a single credit card than a large number of bills.III. If a merchant does not honor the agreement, you can call the credit company and dispute the charges.

Pam has just moved into a new home and wants to purchase an oven. She expects to live in this house for the foreseeable future. She has narrowed her choices down to two options. Consider the following table, which describes the prices, daily electricity costs, and lifespans of the two ovens she is considering: Brand Brand U Brand V Price $2,250 $725 Avg. Cost/Day $0.16 $0.28 Lifespan 24 years 8 years Which brand will have the lower lifetime cost, and how much lower will it be? Hints: If the product's expected lifespans differ, assume that repurchase(s) at the same price is possible to equalize the lifespans. Remember that six of the twenty-four years will be leap years, and round all dollar values to the nearest cent.

Carlos bought a $235 water heater with his credit card. He used the water heater for five years before replacing it. He paid off the water heater after two years, making monthly payments. The water heater cost him an average of $1.56 per week in electricity, and $0.78 per week in water. If Carlos’s credit card has an APR of 14.15%, compounded monthly, and he made no other purchases with it, what percentage of the lifetime cost of the water heater was interest? (Round all dollar values to the nearest cent.)

Kevin is looking at two brands of washing machines. Between water and electricity, a Brand C washer uses about $0.65 per load, and a Brand D washer uses about $0.27 per load. Kevin averages about five loads of laundry per month. After one year, how much more would the utility costs for a Brand C washer be than the utility costs for a Brand D washer?