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lana [24]
1 year ago
8

Based on the information below, choose the correct answer.

Mathematics
2 answers:
frez [133]1 year ago
7 0

Answer:

On average, what dollar amount of each monthly payment is interest? 98.32

What percent of the total payments is total interest? 28.2

Step-by-step explanation:

Soloha48 [4]1 year ago
3 0
Hi there

dollar amount of each monthly payment is interest
11,798.81÷120
=98.32

percent of the total payments is total interest
(11,798.81÷41,798.81)×100
=28.23%

Hope it helps
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There are two spinners. The first spinner has three equal sectors labeled 1, 2 and 3. The second spinner has four equal sectors
Alecsey [184]
<span>The number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

</span><span> <span><span> Spinner 1 Spinner 2
</span> <span> 1                   1
</span> <span> 1                   2
</span> <span> 1                   3
</span> <span> 1                   4
</span> <span> 2                  1
</span> <span> 2                  2
</span> <span> 2                  3
</span> <span> 2                  4  = NOT 1, AND 4
</span> <span> 3                  1
</span> <span> 3                  2
</span> <span> 3                  3
</span> <span> 3                  4 = NOT 1, AND 4

Only 2 outcomes have passed the given condition.</span></span></span>
7 0
1 year ago
Read 2 more answers
The equation r(t)= (2t)i + (2t-16t^2)j is the position of a particle in space at time t. Find the angle between the velocity and
ankoles [38]

Answer:

The answer is 135 degrees.

Step-by-step explanation:

As we are given the position. If we take the <u>derivative</u>, we get the velocity vector. If we take the <u>derivative</u> again, we find the acceleration vector of the particle.

r(t)=(2t)i+(2t-16t^{2})j

V(t)=2i+(2-32t)j

a(t)=-32j

At time t=0;

v(t)=2i+2j

a(t)=-32j

As i attach in the picture the angle between the velocity and acceleration vector is (45+90)=135 degrees

4 0
2 years ago
A point x is 34m due to east of a point Y . The bearing of a flagpole from x and Y are N18°W And N40°E respectively .
Murljashka [212]

Answer:

The distance of flag post from Y is 38.13 m

Step-by-step explanation:

Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.  

Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.  

Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.  

Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,  

\angle AXY=\angle AXF+\angle FXY

\therefore 90 \degree=18\degree+\angle FXY

\angle FXY=72\degree

Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,  

\angle BYX=\angle BYF+\angle FYX

\therefore 90 \degree=40\degree+\angle FYX

\angle FYX=50\degree

Refer attachment 1.  

From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.

∠YFX+∠FYX+∠FXY=180°

∠YFX+50°+72°=180°

∠YFX=58°

Refer attachment 2.  

Now the distance FY can be calculated using sin rule as follows,  

\frac{\sin X}{FY}=\frac{\sin F}{YX}=\frac{\sin Y}{FX}

Substituting the values,

\frac{\sin 72}{FY}=\frac{\sin 58}{34}=\frac{\sin 50}{FX}

Simplifying first two terms,

\frac{\sin 72}{FY}=\frac{\sin 58}{34}

Cross multiplying,

34\times\sin 72=FY\times \sin 58

\dfrac{34\times\sin 72}{\sin 58}=FY

FY=38.13 m

7 0
1 year ago
find the scale, k, of H(3,4) if H'(9,12) after going through the transformation (x,y) ---&gt; (kx,ky) centered at the origin
stiks02 [169]

The value of scale k is 3

Step-by-step explanation:

In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.

Given

H(3,4)

H'(9,12)

The coordinates of H are multiplied with some integer k to form H'

So,

<u>For x-coordinate:</u>

3k = 9

k = 9/3 = 3

<u>For y-coordinate:</u>

4k = 12

k = 12/4 = 3

Hence,

The value of scale k is 3

Keywords: Coordinate geometry, scaling

Learn more about scaling at:

  • brainly.com/question/4771355
  • brainly.com/question/4786449

#LearnwithBrainly

5 0
1 year ago
plz help me. its " joseph runs 2/3 of a mile in 8 minutes. if joseph runs at that speed, how long will it take him to run 1 mile
Mandarinka [93]

Answer:

He runs 2/3 mile in 8 mins, he runs one mile in 12 mins

7 0
1 year ago
Read 2 more answers
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