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kherson [118]
1 year ago
6

First 100 units = 24p per unit Remaining units = 16p per unit Mrs. Watt checks her electricity bill. Here are her meter readings

. New reading: 7143 units Old reading 6997 units (A) User subtraction to calculate the number of units used. (B) Calculate the cost of the number of units used
Mathematics
1 answer:
Talja [164]1 year ago
7 0

Answer: a) 146 units used b) the cost of the number of units used is 3136 p.

Step-by-step explanation:

Since we have given that

First 100 units = 24 p per unit

Remaining units = 16 p per unit

New reading = 7143 units

Old reading = 6997 units

Difference between the readings would be

7143-6997\\\\=146

So, there are 146 units used.

(B) Calculate the cost of the number of units used

There are 146 units

For the first 100 units = 24 p per unit

For the remaining i.e. 146-1400 = 46 units , cost =  16 p per unit

Total cost of the number of units used is given by

24\times 100+46\times 16\\\\=2400+736\\\\=3136\ p

Hence, a) 146 units used b) the cost of the number of units used is 3136 p.

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6% of 1,625 in 97.5

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A conical pile of road salt has a diameter of 112 feet and a slant height of 65 feet. After a storm, the linear dimensions of th
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we know that

the volume of a cone is equal to

V= \frac{1}{3} \pi r^{2}h

in this problem

the radius is equal to

r= \frac{112}{2}= 56ft

1) <u>Find the height of the cone before the storm</u>

Applying the Pythagorean Theorem find the height

h^{2} = l^{2}-r^{2}

l=65 ft

h^{2} = 65^{2}-56^{2}

h^{2} = 1,089

h=33 ft

2) <u>Find the volume before the storm</u>

V= \frac{1}{3}*\pi* 56^{2}*33

V=34,496\pi\ ft^{3}

3) <u>Find the volume after the storm</u>

After a storm, the linear dimensions of the pile are 1/3 of the original dimensions

so

r=(56/3) ft

h=(33/3)=11 ft

V= \frac{1}{3}*\pi* (56/3)^{2}*11

V= 1,277.63\pi\ ft^{3}

<u>4) Find how this change affect the volume of the pile</u>

Divide the volume after the storm by the volume before the storm

\frac{1,277.63 \pi }{34,496 \pi } = \frac{1}{27}

therefore

<u>the answer part a) is</u>

The volume of the pile after the storm is \frac{1}{27} times the original volume

<u>Part b)</u>  Estimate the number of lane miles that were covered with salt

5) <u>Find the amount of salt that was used during the storm</u>

=34,496 \pi - 1,277.63 \pi \\= 33.218.37 \pi \\= 104,358.59\ ft^{3}

6) <u>Find the pounds of road salt used</u>

104,358.59*80=8,348,687.2\ pounds    

7) <u>Find the number of lane miles that were covered with salt</u>

8,348,687.2/350=23,853.39 \ lane\ miles  

therefore

<u>the answer part b) is</u>

the number of lane miles that were covered with salt is 23,853.39 \ lane\ miles

<u>Part c) </u>How many lane miles can be covered with the remaining salt? Round your answer to the nearest lane mile

the remaining salt is equal to 1,277.63\pi\ ft^{3}

1,277.63\pi\ ft^{3}=4,013.79\ ft^{3}

8) <u>Find the pounds of road salt </u>

4,013.79*80=321,103.20\ pounds

9) <u>Find the number of lane miles </u>

321,103.20/350=917.44 \ lane\ miles

therefore

<u>the answer part c) is</u>

the number of lane miles is 917 \ lane\ miles

7 0
2 years ago
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value. At this
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Answer:

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Step-by-step explanation:

This question is an example of a compound percentage decrease.

To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.

The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.

The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.

1) Divide 25 by 100.

25/100=0.25

2) Minus 0.25 from 1.

1-025=0.75

3) Multiply 900 by 0.75 to the power of 7.

900*0.75^7=120.14

8 0
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Nisha works at a bank. In her till 35% of the notes are £5 notes, 40% are £10 notes and the rest are £20 notes. If all the £20 n
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Answer:

£1290

Step-by-step explanation:

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£600+£480+£210=£1290

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1 year ago
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