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2 years ago

An expression is shown below.

Mathematics

1 answer:

Natalka [10]2 years ago

6 0

Answer:

see step-by-step

Step-by-step explanation:

It's not clear from your notation, so I will provide 2 answers.

3√(47x) = 24√(47)

3√(47)√x = 24√(47)

Divide both sides by √(47): 3√x = 24

Divide both sides by 3: √x = 8

Square both sides: x = 64

3√(47)x = 24√(47)

Divide both sides by √(47): 3x = 24

Divide both sides by 3: x = 8

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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

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

Thus, it takes 7.7 years for the cost to come under $200.

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Step-by-step explanation:

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