1. you need a new bottle of conditioner\n\noption 1: 2 - pack of conditioner for $40.00, each bottle is 16…

1. you need a new bottle of conditioner\n\noption 1: 2 - pack of conditioner for $40.00, each bottle is 16 ounces. no shipping or sales tax.\n\nprice per 2 - pack: ($40÷2 bottles)÷16 oz = $1.25 per oz\n\noption 2: individual bottle of conditioner, 16 ounces for $25.95.\n\nprice per bottle: $25.95÷16 oz = $1.62 per oz\n\noption 1 is more economical.\n\n2. your favorite online clothing store is offering a membership that allows you shipping throughout the year for a one - time flat rate of $29.99. typically, you pay $3.99 for shipping for each purchase you make. how many orders will you need to place for the membership to be worthwhile?\n\nflat rate $29.99÷per - order rate $3.99 = base number of ord\n\nit would be cheaper to \n\n3. you are moving out on your own and need to buy furniture for your apartment. you found a new couch that costs $1,500 plus 7.5% tax and $50 shipping, or a used couch that is 5 years old, for $700 cash without tax, and it needs about $200 worth of repairs and cleaning.\n\nassuming that a couch lasts 15 years, which is the more economical purchase?\n\nnew\n\nprice $ \n\ntax x %\n\ncost $ \n\nshipping $ \n\ntotal cost $ \n\nyears remaining ÷ \n\ncost per year $ \n\nused\n\nprice $ \n\ncleaning, etc. $ \n\ntotal cost $ \n\nyears remaining ÷ \n\ncost per year $ \n\nthe couch is the more economical option.

1. you need a new bottle of conditioner\n\noption 1: 2 - pack of conditioner for $40.00, each bottle is 16 ounces. no shipping or sales tax.\n\nprice per 2 - pack: ($40÷2 bottles)÷16 oz = $1.25 per oz\n\noption 2: individual bottle of conditioner, 16 ounces for $25.95.\n\nprice per bottle: $25.95÷16 oz = $1.62 per oz\n\noption 1 is more economical.\n\n2. your favorite online clothing store is offering a membership that allows you shipping throughout the year for a one - time flat rate of $29.99. typically, you pay $3.99 for shipping for each purchase you make. how many orders will you need to place for the membership to be worthwhile?\n\nflat rate $29.99÷per - order rate $3.99 = base number of ord\n\nit would be cheaper to \n\n3. you are moving out on your own and need to buy furniture for your apartment. you found a new couch that costs $1,500 plus 7.5% tax and $50 shipping, or a used couch that is 5 years old, for $700 cash without tax, and it needs about $200 worth of repairs and cleaning.\n\nassuming that a couch lasts 15 years, which is the more economical purchase?\n\nnew\n\nprice $ \n\ntax x %\n\ncost $ \n\nshipping $ \n\ntotal cost $ \n\nyears remaining ÷ \n\ncost per year $ \n\nused\n\nprice $ \n\ncleaning, etc. $ \n\ntotal cost $ \n\nyears remaining ÷ \n\ncost per year $ \n\nthe couch is the more economical option.

Answer

Explanation:

Step1: Calculate the total cost of the new couch

First, find the tax amount for the new couch. The tax rate is 7.5% or 0.075, and the price of the couch is $1500. Tax amount = $1500×0.075 = $112.5. The cost of the couch before shipping is $1500 + $112.5=$1612.5. Then add the shipping cost of $50. So the total cost of the new couch is $1612.5 + $50=$1662.5. The new couch has a remaining life - span of 15 years. Cost per year for the new couch = $1662.5÷15≈$110.83.

Step2: Calculate the total cost of the used couch

The price of the used couch is $700 and the cost of repairs and cleaning is $200. So the total cost of the used couch is $700 + $200=$900. The used couch is 5 years old and has a remaining life - span of 15 - 5 = 10 years. Cost per year for the used couch = $900÷10 = $90.

Answer:

NEW USED
Price $1500 $700
Tax x 7.5% -
Cost $1612.5 -
Shipping $50 -
Total Cost $1662.5 $900
Years remaining 15 10
Cost per year $110.83 $90
The used couch is the more economical option.