During a trip to the supermarket, jim bought the following items: bread $1.45 beans $0.88 toothpaste $2.90 milk $3.55 dog food $6.50 the state in which he lives levies a 6% sales tax on all items except food for human beings. what was jim’s total bill? a 3 lb bag of one brand of cat food costs $3.52. a 6 lb bag of another brand costs $6.80. which brand is cheaper per pound? one brand of plastic garbage bags costs $8.99 for 45 bags. a second brand costs $7.75 for 32 bags. if you have a savings coupon for $0.25 for the second brand, which brand will be cheaper per bag?

1) human food items purchased: (bread, $1.45), (beans, $0.88), (milk, $3.55)

items purchased that were not human food: (toothpaste, $2.90), (dog food, $6.50)

6% sales tax is levied on anything not human food.

2) Cat food costs 3 lb for $3.52 or 6 lb for $6.80

3) Garbage bags cost $8.99 for 45 bags or $7.75 less $0.25 for 32 bags

1) the total bill

2) the size that is cheaper per pound

3) the brand that is cheaper per bag

1) 6% tax causes the price to be multiplied by 1 + 0.06 = 1.06. Then the bill will be ...

... (total for food items) + 1.06×(total for non-food items)

... $1.45 + 0.88 + 3.55 + 1.06×($2.90 +6.50)

... = $5.88 +1.06×9.40

... = $5.88 +9.96 = $15.84 . . . . total bill

2) The cost of 6 lb of the first brand would be ...

... 6 lb = 2×(3 lb) ⇒ 2×$3.52 = $7.04

This is more than the $6.80 cost of the larger-size bag.

The larger bag (6 lb for $6.80) is the cheaper size/brand.

3) The cost per bag for the first brand is

... cost/bag = $8.99/(45 bags) = $0.19978/bag

The cost per bag for the second brand (with coupon) is

... cost/bag = ($7.75 -0.25)/(32 bags) = $7.50/(32 bags) = 0.23438/bag

The first brand ($8.99 for 45 bags) is cheaper per bag.

The coupon for the second brand would need to be for $1.36 savings in order to match the per-bag price of the first brand.

answer: 819.89 miles across america

step-by-step explanation:

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: