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motikmotik
2 years ago
9

Please need help 20 points

Mathematics
1 answer:
Debora [2.8K]2 years ago
8 0

Step-by-step explanation:

90+48=138

180-138=42

y=42

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P= 14413.49<br> R= 0.0015<br> T= 36<br><br> What is I= Prt
tamaranim1 [39]

Answer: I = 778. 33

Step-by-step explanation:

P= 14413.49

R= 0.0015

T= 36

The formula for calculating interest is given as :

I = PRT

substituting the given values , we have :

I = 14413.49 x 0.0015 x 36

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Find the solution of the system of equations 2x-4y=32 2x-8y=48
Sveta_85 [38]
<span>2x-4y=32
2x-8y=48
--------------subtract
4y = - 16
y  = -4

</span>2x-4y=32 
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answer
(8, -4)
6 0
3 years ago
Read 2 more answers
A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0
3 years ago
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