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alina1380 [7]
3 years ago
15

Qtr5g66677 Math problem

Business
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

The dot over a number signifies that it is a repeater which would go on for ever, as when we endeavor to describe 1/3 decimally as 0.33333 . . . . (etc)

With a series of numbers we place the dot over the first and last, as with 0.97979797979 . . . (etc)

The remarkable feature being that a proper fraction divided by 9s e.g. 46/99 is exactly equal to the numerator with the repeater sign followed by the decimal.

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Maggie Stewart loves desserts. But, due to weight and cholesterol concerns, she has decided that she must plan her desserts care
nika2105 [10]

Answer:

The option that maximizes Maggie's taste index is 1 snack bar and 2 ice creams

Explanation:

<u>snack bar</u>                  <u>ice cream</u>

37 grams                   65 grams

120 calories              160 calories

5 grams of fat           10 grams of fat

Maggie wants to consume up to 450 calories and 25 grams of fat, but she needs at least 120 grams of dessert per day. Ice cream taste 95, snack bars 85.

  • maximize taste index = [85(37X) + 95(65Y)] / (37X + 65Y)
  • 5X + 10Y ≤ 25 ⇒ CONSTRAINT 1
  • 120X + 160Y ≤ 450 ⇒ CONSTRAINT 2
  • 37X + 65Y ≥ 120 ⇒ CONSTRAINT 3
  • X ≥ 0 ⇒ CONSTRAINT 4
  • Y ≥ 0 ⇒ CONSTRAINT 5

maximum possible combinations following constraint 1, 4 AND 5:

  • option 1: 1 snack bar - 2 ice creams (5 + 20 = 25)
  • option 2: 2 snack bars - 1 ice cream (10 + 10 = 20)
  • option 3: 3 snack bars - 1 ice cream (15 + 10 = 25)

possible combinations following constraint 2:

  • option 1: 1 snack bar - 2 ice creams (120 + 320 = 440)
  • option 2: 2 snack bars - 1 ice cream (240 + 160 = 400)

possible combination following constraint 3:

  • option 1: 1 snack bar - 2 ice creams (37 + 130 = 167)
  • option 2: 2 snack bars - 1 ice cream (74 + 65 = 139)

since we only have two possibilities, we can calculate which one generates the highest taste index

maximize taste index = [85(37X) + 95(65Y)] / (37X + 65Y)

  • option 1: 1 snack bar - 2 ice creams = [85(37) + 95(130)] / (37 + 130) = (3,145 + 12,350) / 167 = 92.78
  • option 2: 2 snack bars - 1 ice cream = [85(74) + 95(65)] / (74 + 65) = (6,290 + 6,175) / 139 = 89.68

5 0
3 years ago
In 2013, selected automobiles had an average cost of $15,500. The average cost of those same automobiles is now $17,205. What wa
hammer [34]

Answer:

11%

Explanation:

Average cost of automobiles in 2013 = $15,500

Average cost of automobiles now = $17,205

Change in average cost = $17,205 - $15,500

                                        = $1,705

Rate of increase in cost is the ratio between the increase and the average cost before the increase.

Rate of increase = ($1,705/$15,500) × 100%

                           = 11%

The rate of increase for these automobiles between the two time periods is 11%.

7 0
3 years ago
A prediction of how many sales your business plans to make is a
ladessa [460]

Answer: sales forecast

Explanation:

The sales forecast section is a key section of your business plan.

This section relates directly to the market analysis, competitive edge, marketing plan and pricing sections (see our guide to writing a business plan).

3 0
3 years ago
A building owner charges net rent of $20 in the first year, $21 in the second year, and $22 in the third year. Using a 10 percen
Ronch [10]

Answer:

$20.94

Explanation:

first we must determine the present value of the the 3 rent amounts:

PV = $20/1.1 + $21/1.1² + $22/1.1³ = 52.07

then you need to calculate the payment considering the following values:

  • principal = $52.07
  • n = 3
  • i = 10%

using a loan calculator payment = $20.9381 ≈ $20.94

7 0
3 years ago
Which of the following statements is true with regard to depreciation expense? A company should use the depreciation method that
never [62]

Answer: the right one

Explanation:

because

3 0
3 years ago
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