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2 years ago

May I ples have a little help pless Simplify using the laws of exponents [2^4/2^ 3]^5

Mathematics

1 answer:

xxMikexx [17]2 years ago

5 0

$\left[\dfrac{2^4}{2^3} \right]^5 \\\\\\=[2^{4-3}]^5\\\\=[2^1]^5\\\\=2^5\\\\=32$

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Roman55 [17]

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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2 years ago

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sveticcg [70]

Answer:

3×10⁵

Step-by-step explanation:

Hi there !

$\frac{9.6*10^{7}}{3.2*10^{2}}=\\ \\=3*10^{7-2}\\ \\=3*10^{5}$

Good luck !

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3 years ago

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ipn [44]

Answer:

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Step-by-step explanation:

10 and 12 are two even integers whose product =120

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