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dangina [55]
3 years ago
5

Please work out question number 12 with working and answer. I'm stuck help please.​

Mathematics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

£40

Step-by-step explanation:

Sum the parts of the ratio 5 + 1 = 6 parts

Divide £48 by 6 to find the value of one part of the ratio

£48 ÷ 6 = £8 ← value of 1 part of the ratio

Thus the larger part of the ratio is

5 × £8 = £40

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The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years wil
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Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)

after 2 year it becomes

\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2

Suppose, after x years it becomes $200

\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}

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3 0
3 years ago
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Furkat [3]

Answer:

1041.27

Step-by-step explanation:

A=πrl+πr2

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Solving forA

A=πr(r+h2+r2)=π·12·(12+102+122)≈1041.26829

6 0
3 years ago
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The length of a rectangle is 3 inches more than its width. the area of the rectangle is 40 square inches. what is the length, in
IceJOKER [234]
Since width is the smaller value, set width=x. That wold mean that length=x+3. Since Area=width*length, 40=x(3+x). Distribute the x to give you 40=3x+x^2. Set the equation equal to 0 giving you x^2+3x-40=0. Factor the equation to give you (x+8)(x-5)=0. Set each factor equal to 0. x+8=0 gives you x=-8 & x=-5 gives you x=5. Since we're working with lengths of objects, it can't be negative. Therefore, your width is 5. To find length, substitute width into the original expression (x+3). Therefore, length is 5+3=8.
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Answer:

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Step-by-step explanation:

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123 is 75% of what amount
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123/0.75 =164
the answer is 164
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