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4 years ago

Simplify square root of 300x8/ 27x12

Mathematics

1 answer:

charle [14.2K]4 years ago

3 0

Answer:

-------------

3x^2

Step-by-step explanation:

First lets simplify what is inside the square root

300x8

---------------

27x12

3 * 100 x^8

------------------

3 *9 x^12

The 3's cancel and we know a^b/ a^c = a^(b-c)

100/9 x^ (8-12)

100/9 x^-4

sqrt( 100/9 x^-4)

Put the negative exponent in the denominator and make it positive

sqrt( 100 / (9x^4) )

We know that sqrt( a / b) = sqrt(a) / sqrt( b)

sqrt(100)

----------------

sqrt( 9x^4)

-------------

3x^2

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Answer:

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Step-by-step explanation:

=> Total amount the 1st year = 90,000

=> Since after the 1st yr, there was a reduction of 4%, so 100% - 4% = 96% or 0.96

=> Total time = 6

We know that the formula of a geometric sequence is;

aₙ = a₁ * r⁽ⁿ⁻¹⁾

In which;

aₙ = the value that has to be figured out (in this case it would be a₆)
a₁ = the first term of the sequence (in this case it would be 90,000)
r = common ration (in this case it would be 0.96)
n = given time (in this case it would be 6)

Therefore we can finally say;

=> aₙ = a₁ * r⁽ⁿ⁻¹⁾

=> a₆ = 90,000 * 0.96⁶⁻¹

=> a₆ = 90,000 * 0.96⁵

=> a₆ = 73383.54

=> a₆ = 73384 (Rounded to the nearest whole number)

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3 years ago

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Peter is saving to buy a camera. The camera costs $50. Peter has already saved $23.25. His plan is to save $4.50 every week to s

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Answer:

m ≥ 6

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Step-by-step explanation:

The cost of the camera = $50

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Now, The TOTAL money LEFT to be saved = Total camera cost - Money already saved

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