Choose the correct simplification of (7x3y3)2. 14x6y6 49x5y5 49x6y6 14x5y5

2 answers:

8 0

The answer would be the first one.

I find it easier to expand the equation (you still get the same answer).

= 2 * 7x + 2 * 3y + 2 * 3
= 14x + 6y + 6

Hope this helps!

lutik1710 [3]3 years ago

8 0

The correct answer is 49x6y6 because the exponent 2 gives you (7x3x3)*(7x3x3) and the coefficient 7 is multiplied to 49 and the exponent 2 multiplies the exponents of 3 which gives you x6y6

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A shopkeeper allows 15% discount on the marked price, still he manages to have 7% profit. How much high did he mark his goods ab

lianna [129]

Answer: $25.9\%$

Step-by-step explanation:

Given

Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%

Suppose the marked price is $x$

So, the selling price is $(1-0.15)x=0.85x$

Suppose the cost price is $y$

$\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x$

So, the percentage the shopkeeper marked his goods above cost price

$\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%$