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elena-s [515]
3 years ago
11

Decrease £843 by 91% rounded to 2 DP

Mathematics
1 answer:
34kurt3 years ago
6 0

Answer:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

91% = 91/100 = 91 ÷ 100 = 0.91.

100% = 100/100 = 100 ÷ 100 = 1.

Decrease number by 91% of its value.

Percentage decrease = 91% × 843

New value = 843 - Percentage decrease

Calculate the New Value

New value =

843 - Percentage decrease =

843 - (91% × 843) =

843 - 91% × 843 =

(1 - 91%) × 843 =

(100% - 91%) × 843 =

9% × 843 =

9 ÷ 100 × 843 =

9 × 843 ÷ 100 =

7,587 ÷ 100 =

75.87

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 843 =

75.87 - 843 =

- 767.13

Proof.

Calculate percentage decrease:

Percentage decrease =

91% × 843 =

91 ÷ 100 × 843 =

91 × 843 ÷ 100 =

76,713 ÷ 100 =

767.13

Step-by-step explanation:

Hope it is helpful....

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1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.  x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times3 + $40 = $280 and Mike's will cost = $65\times3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times6 + $40 = $520 and Mike's will cost = $65\times6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

Step-by-step explanation:

i) x = number of hours worked

ii) y = total cost

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.   15x = 60, therefore x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times3 + $40 = $280 and Mike's will cost = $65\times3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80\times6 + $40 = $520 and Mike's will cost = $65\times6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

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