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3 years ago

Kamal earned a total of $32500 in 2017

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

$32500 * 0.09 = 2925

32500-2925 = 29575

29575 * 0.22 = 6506.5

Amount left: 29575 - 6506.5 = 23068.5

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Find an equation of a line through (2, 1) and perpendicular to −2x + 4y = 8

MAVERICK [17]

Hello:
the equation is : y = ax+b
the slope is a : a×(1/2) = -1......( perpendicular to a line with a slope of 1/2) because : -2x+4y =8...y=(1/2)x+2 )

a = -2 y=(-2x+b
the line that passes through (2,1) :1 = -2(2)+b
b =5
 the equation is : y = -2x+5

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3 years ago

Identify the inequality that represents the following problem

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Answer:

$3n + 2 \geqslant 8$

Step-by-step explanation:

2 more than 3 time mean 3n+2

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3 years ago

The points (-1,2) and (4,y) have a slope of -4/5. what is the y-coordinate of the point (4,y)

Nastasia [14]

Answer:

y = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 1,2) and (x₂, y₂ ) = (4, y)

m = $\frac{y-2}{4+1}$ , hence

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3 years ago

5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

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3 years ago

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