A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or loss percent.

Answers

Answer 1
Answer:

Answer:

His gain percent would have been 8%

Step-by-step explanation:

The key to answering this question is to first calculate the price at which the wheat flour was bought.

Mathematically;

% profit = (selling price-cost price)/cost price * 100%

Let the cost price be $x

Thus;

% profit = (30-x)/x * 100

20 = 100(30-x)/x

20x = 3000-100x

100x + 20x = 3000

120x = 3000

x = 3000/120

x = Rs 25

So let’s assume he sold at Rs 27

His profit would have been 27-25 = 2

His gain or loss percentage would’ve been;

2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)


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Answers

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Answers

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Nell's mortgage is $50,150 at 10 percent for 30 years. What is her monthly payment if she must pay 8.78 points per $1,000? (Points : 1) $440.32
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$385.89

Answers

I actually don't know the actual computation. I used a mortgage points calculator and inputted the data given.

The monthly payment given based on its computation was $440.10. The closest answer is 440.32.

The difference in decimal point is due to the rounding off of 8.78 points to 8.8 points in the calculator.

How can I factorise (2x cubed - 5x + 3) ?

Answers

2x^3-5x+3=2x^3-2x-3x+3\n\n=2x(x^2-1)-3(x-1)\n\n=2x\underbrace{(x^2-1^2)}_(use\ (*))-3(x-1)\ \ \ |(*)\ a^2-b^2=(a-b)(a+b)\n\n=2x\underbrace{(x-1)}_((**))(x+1)-3\underbrace{(x-1)}_((**))\n\n=(x-1)[2x(x+1)-3]\n\n=(x-1)\underbrace{(2x^2+2x-3)}_((***))\n\n(***)\ 2x^2+2x-3\to a=2;\ b=2;\ c=-3\n\nx=(b^2\pm√(b^2-4ac))/(2a)

therefore\nx=(-2\pm√(2^2-4(2)(-3)))/(2(2))=(-2\pm√(4+24))/(4)=(-2\pm√(28))/(4)=(-2\pm√(4\cdot7))/(4)=(-2\pm2\sqrt7)/(4)\n\n=(-1\pm\sqrt7)/(2)\n\nso,\ the\ answer:\n\n(x-1)\cdot2\left(x-(-1-\sqrt7)/(2)\right)\left(x-(-1+\sqrt7)/(2)\right)\n\n=\boxed{(x-1)(2x+1+\sqrt7)\left(x+(1-\sqrt7)/(2)\right)}=\boxed{(1)/(2)(x-1)(2x+1+\sqrt7)(2x+1-\sqrt7)}
2x³ - 5x +3

P = Finding the divisors of the constant 3 : 1 and 3
Q = Finding the divisors of the master coefficient 2 : 1 and 2 

Now verify the probably roots: +- p/q
+- 1/1  ,  +-1/2  , +-3/1   ,  +-3/2 
 
+-1  ,      +-1/2  , +-3      , +- 3/2

x=1 is root: 2x³-5x+3   = 2(1)³-5(1)+3 = 0

If x=1 is root, so x-1=0

Divinding by (x-1)

 2x³+0x²-5x+3  | x-1           
-2x³+2x²            2x² +2x-3
  0  +2x²-5x
       -2x²+2x
         0  -3x +3
              3x - 3
               0    0 

So, 
2x³-5x+3 =  (x-1)(2x²+2x-3)

(x-1)(2x²+2x-3)

Compare 1/2 with 3/4 using < > =?

Answers

1/2<3/4
.......................

Answer: Is 1/2 greater than 3/4

Step-by-step explanation: Therefore, 3/4 is greater than 1/2 and the answer to the question "Is 3/4 least than 1/2?" is yes. Note: When comparing fractions such as 3/4 and 1/2, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

Which graph correctly solves the system of equations below?y = 2x2 − 3
y = −x2

one quadratic graph opening down and one quadratic graph opening up. They intersect at 1, negative 1 and negative 1, negative 1.

one quadratic graph opening up and one quadratic graph opening down. They intersect at 0, negative 3.

two quadratic graphs opening up. They intersect at 0, negative 3.

quadratic graph opening up and quadratic graph opening down. They intersect at 1, 2 and negative 1, 2

Answers

Answer:

one quadratic graph opening down and one quadratic graph opening up. They intersect at 1, negative 1 and negative 1, negative 1

i.e. they intersect at (1,-1) and (-1,-1)

Step-by-step explanation:

We are asked to find which graph correctly solves the system of quadratic equations:

y=2x^2-3

and y=-x^2

on solving the equation by the method of substitution i.e. on equating both the equations we get:

2x^2-3=-x^2\n\n2x^2+x^2=3\n\n3x^2=3\n\nx^2=1\n\nx=+1,x=-1

Now on putting the value of x in any of the equations we get the value of y as:

y=-1

Hence, the point of intersections of both the graph is:

(1,-1) and (-1,1).

Also the graph of the quadratic equation:

y=2x^2-3

opens upward.

and graph of the quadratic equation:

y=-x^2

opens downward.

Hello,

answer A is True, others are false