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3 years ago

4. The price of a motorbike is Gh 1,500.00. How much do you save if you we given a discount of 15%

Mathematics

2 answers:

sladkih [1.3K]3 years ago

7 0

Answer:

225

Step-by-step explanation:

Pretty sure it's the correct answer.

Effectus [21]3 years ago

5 0

Answer:

GH 225.00

Step-by-step explanation:

15% of 1500

(15÷100) × 1500

0.15×1500

225

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Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1) = 0

MissTica

Answer:

a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

Step-by-step explanation:

for the equation

(1 + x⁴) dy + x*(1 + 4y²) dx = 0

(1 + x⁴) dy = - x*(1 + 4y²) dx

[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx

∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx

now to solve each integral

I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁

I₂= ∫[-x/(1 + x⁴)] dx

for u= x² → du=x*dx

I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂

then

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C

for y(x=1) = 0

1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C

since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be

1/2 * 0 = - π/4 + C

C= π/4

therefore

1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4

5 0

3 years ago

Express in Slope-Intercept Form

sweet-ann [11.9K]

Answer:

y = (3/4)x + 2

Step-by-step explanation:

Slope-intercept form is y=mx+b where (x, y) is a point on the linear graph, m is the slope (rise/run), and b is the y-intercept (the y-value at which the graph passes through the y-axis).

Looking at the graph, we can see that the point at which the line crosses the y-axis is (0, 2) which makes it the y-intercept. Thus, the b in the slope-intercept form is 2.

Next, we are looking for the slope of the line. To do this, we can calculate the rise/run of the line by choosing to points on it. Since we already have the point (0, 2), we just need one more.

For example, the point (-4, -1) can be used. The slope can be found by ((y-y)/(x-x)) in which the first y and x values correspond with the first point and that of the second correspond with the second set. So in this case, m = (2-(-1))/(0-(-4)) = 3/4

Plugging in the calculated m and b value in the slope intercept equation, we get y = (3/4)x + 2

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4 years ago

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If each quadrilateral below is a parallelogram,find the missing measures

Rufina [12.5K]

Answer:

Step-by-step explanation:

We will use parallelogram properties to answer our given problems.

(1) Since we know that opposite sides of parallelogram are congruent, therefore measure of side MN and side KN will be equal to the measure of their opposite sides.

LM=KN and KL=MN

Upon substituting our given values we will get,

45=KN and 31=MN

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

We have been given , therefore .

We will find measure of angle K by using supplementary angles.

By opposite angles of parallelogram .

(2) Opposite sides of parallelogram are equal. Therefore, CF=DE and FE=CD.

Upon substituting our given values we will get,

CF=10 and FE=15.

Property: Diagonals of parallelogram bisect each other.

So CE will be 2 times CG and GD will be half the length of FD.

(3) Property: Opposite sides of parallelogram are congruent.

and

Upon substituting our given values we will get,

and

Property: Diagonals of parallelogram bisect each other.

So SQ will be 2 times TQ and PT will be half the length of PR.

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

Alternate interior angles.

Opposite angles of parallelogram.

Therefore, measure of angle QRS will 74 degrees.

Alternate interior angles.

Now let us find measure of angle PSQ.

The image is not clear, so I am unable to answer the last two problems.

Step-by-step explanation:

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4 years ago

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antiseptic1488 [7]

Answer:

2.Ellipse

Step-by-step explanation:

The given equation represents an ellipse.

Standard form of ellipse is given as:

$\frac{x^2}{a^2} +\frac{y^2}{b^2} = 1\\\\\implies \frac{x^2}{16} - \frac{y^2}{4} = 1\\$

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3 years ago

Okay some one help meh plz

djverab [1.8K]

Answer:

Point a is (-1/2,-1/4)

Point b is (-2 and 1/2,1 and 1/2)

Point c is (1/4,1/2)

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3 years ago

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