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MArishka [77]
3 years ago
6

Solve the system of equations by substituting 15x+31y=−3 x=−y+3 ​

Mathematics
2 answers:
alekssr [168]3 years ago
6 0

Answer:

x=6   y=-3

Step-by-step explanation:

Angelina_Jolie [31]3 years ago
4 0

Answer:

x=6

y=-3

Step-by-step explanation:

Substitute (-y + 3) for x in the first equation:

15(-y+3)+31y=-3

Expand:

45-15y+31y=-3

Simplify:

45+16y=-3

Subtact 45 from both sides:

16y=-48

Divide both sides by 16:

y=-3

Substitute -3 for y in either equation:

x=-(-3)+3

x=6

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sladkih [1.3K]

Answer:

The final ballance will be $1300.37.

Step-by-step explanation:

In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:

S = P(1 + r/n)^(n*t)

Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:

S = 975.52*(1 + 0.0725/4)^(4*4)

S = 975.52*(1.018125)^(16)

S = 975.52*1.333

S = 1300.37

The final ballance will be $1300.37.

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Step-by-step explanation:


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Read 2 more answers
Lin is playing hand ball and wants the ball to bounce off wall CB and land at D. Where on the wall should she aim if she's stand
ASHA 777 [7]

The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.

<h3>Correct Response;</h3>

The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>

<h3 /><h3>Method by which the above value is obtained;</h3>

The possible diagram in the question is attached

Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.

ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.

By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;

tan(\angle CDE) = \mathbf{\dfrac{20 - x}{25}}

tan(\angle BAE) = \mathbf{ \dfrac{x}{16}}

tan(∠CDE) = tan(∠BAE)

Therefore;

\dfrac{20 - x}{25} = \dfrac{x}{16}

Which gives;

16 × (20 - x) = 25·x

320 = 41·x

x = 320 ÷ 41 ≈ 7.8

The point on the wall she should aim if she's standing at point <em>A</em> is therefore;

  • <u>A, 7.8 feet away from point </u><u><em>B</em></u>

Learn more about trigonometric ratios here:

brainly.com/question/4326804

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In a grocery store, a bag of sweets marked for $5 was sold at a discount of 10%. What was the selling price for the bag of sweet
kumpel [21]
The correct answer is 0.5.
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3 years ago
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