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3 years ago

A $280 suit is marked down by 20%. Find the sale price.

Mathematics

2 answers:

GarryVolchara [31]3 years ago

7 0

Answer:4

Step-by-step explanation:

Ex (increase, such as taxes or price hike):

I want to increase $5 by 20%.

That means I would have to find the product of $5 and 120%.

$5*1.20=6

If you increase $5 by 20%, you will get $6.

Ex (decrease, such as a discount or a special deal):

I want to decrease $5 by 20%.

That means I would have to find the product of $5 and 80%.

$5*.80=4

If you decrease $5 by 20%, you will get 4.

soldi70 [24.7K]3 years ago

7 0

The easiest way of calculating discount is, in this case, to multiply the normal price $280 by 20 then divide it by one hundred. So, the discount is equal to $56. To calculate the sales price, simply deduct the discount of $56 from the original price $280 then get $224 as the sales price.

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Sqaure root of 5 (u-1)(u^5+u^4+u^3+u^2+u+1)

Anna71 [15]

GIVEN:

$5(u - 1)( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1)$

remember:

$\sqrt{u} = {u}^{ \frac{1}{2} }$

And

${u}^{n} \times {u}^{m} = {u}^{n + m}$

SOLVE:

start by multiplying the factors:

$5( ({u}^{6} + {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u ) - ( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1))$

simplify by combing like terms. Most terms subtract off, leaving:

$5( {u}^{6} - 1)$

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

$5( {u}^{3} - 1)( {u}^{3} + 1)$

I'm not exactly sure what form they want the answer in...

so taking the square root:

$\sqrt{5( {u}^{6} - 1) } = {(5( {u}^{6} - 1))}^{ \frac{1}{2} }$

so my best answer is:

${5}^{ \frac{1}{2} } \times {( {u}^{6} - 1)}^{ \frac{1}{2} }$
or the more factored form:

${5}^{ \frac{1}{2} } { ({u}^{3} - 1)}^{ \frac{1}{2} } { ({u}^{3} + 1 )}^{ \frac{1}{2} }$

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.

sorry for not coming to a definitive answer!

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