Answer:
To calculate the difference in costs after one year, we need to consider the cost of bottled water for one year and the cost of the water filtration system including the interest on the loan.
Cost of bottled water for one year:
$7 per week x 52 weeks = $364
Cost of the water filtration system with interest:
Loan amount = $1,000
Interest rate = 7%
Loan period = 1 year
Interest on the loan:
Interest = Loan amount x Interest rate = $1,000 x 7% = $70
Total cost of the water filtration system after one year:
$1,000 + $70 = $1,070
Difference in costs after one year:
Cost of bottled water - Cost of water filtration system
$364 - $1,070 = -$706
The difference in costs after one year is -$706. This means that choosing the water filtration system would save Lou $706 compared to buying bottled water.
Step-by-step explanation: