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3 years ago

What is the maturity value of a single-

Mathematics

1 answer:

7nadin3 [17]3 years ago

8 0

Answer:

(B)$671.37

Step-by-step explanation:

Interest Rate, r=15%=0.15

Time, t = $\dfrac{80}{365}$

Maturity Value at exact interest, S=P(1+rt)

$=\$650 \left (1+0.15*\dfrac{80}{365}\right)\\\\=\$671.37$

<u>The correct option is B.</u>

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As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change

Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

Cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = $\frac{2}{100}$

θ = $\text{tan}^{-1}(\frac{2}{100})$

Option (A) will be the answer.

5 0

3 years ago

What is the length of the hypotenuse of the triangle when x=14

astra-53 [7]

The length of the hypotenuse will be equal to H=122.25 when value of x=14.

<h3>What is pythagorean theorem?</h3>

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal the square of the sum of the other two sides.

It is given that:

Value of x=14

The perpendicular is =6x+5=6x14+5=89

The base is =6x=84

So by using the Pythagorean theorem:-

$H^2=P^2+B^2\\\\\\H^2=89^2+84^2\\\\\\H=\sqrt{89^2+84^2}\\\\\$

Hence the value of hypotenuse will be H=122.25

To know more about the Pythagorean theorem follow

brainly.com/question/343682

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8 0

1 year ago

Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x

goldfiish [28.3K]

The linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

The y-intercept represents the total distance Jordan has to walk.

<h3>What is the distance?</h3>

Distance is defined as the product of speed and time.

We have to determine the distance.

So distance = speed× time

Given that his speed is 4 mph and x hours of walking, then:

So distance = 4 × x

Let it Start of the trail: 0 miles

And the end of the trail: 18 miles

The trail length is 18 miles, so if he walked 1 mile, 18 - 1 = 17 miles are left, in general:

⇒ y = 17 - 4(x)

Here y would be the distance Jordan still has to walk.

The y-intercept would be if substitute x = 0, then:

⇒ y = 17- 4(0)

⇒ y = 17

This represents the total distance Jordan has to walk

Hence, the linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

The y-intercept represents the total distance Jordan has to walk.

Learn more about the distance here:

brainly.com/question/13269893

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8 0

1 year ago

I dont understand linear equations.

Sonbull [250]

Ck12 has great sources

3 0

3 years ago

Read 2 more answers

Write a problem that can be solved using a flowchart and working backward. Then draw the flowchart and solve the problem.

Len [333]

I'm sorry but do you ha e a picture of a flowchart

5 0

3 years ago