Gareth has just remodeled his kitchen and wants to buy one of two stand-alone freezers.
consider the following table, which displays the prices, electricity costs, and lifespans of the two freezers he is considering:
brand price avg. cost/wk lifespan
brand r $575 $3.17 10 years
brand s $98 $4.54 2 years
no matter which brand he chooses, gareth will pay for the freezer on his credit card, which has an apr of 9.31%, compounded monthly. it takes gareth eighteen months to pay off a brand s freezer and four years to pay off a brand r freezer.
assuming that gareth makes no other purchases or payments with his credit card, over the next ten years, which brand of freezer will have a lower lifetime cost, and how much lower will it be? (round all dollar values to the nearest cent.)
a. brand r will be $548.18 cheaper than brand s.
b. brand r will be $712.40 cheaper than brand s.
c. brand s will be $85.00 cheaper than brand r.
d. brand s will be $164.22 cheaper than brand r.