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Lelu [443]
1 year ago
6

Loan payments of $4000 due 200 days ago and $6000 due 63 days ago are to be replaced

Mathematics
1 answer:
DochEvi [55]1 year ago
4 0

The size of the final payment is $5378.08

<h3>What is the size of the final payment?</h3>

P1 = One loan payment = $4000

P2 = Second loan payment = $6000

P3 = Payment = $5000

Let P4 = Second payment

n1 = 200 days

n2 = 63 days

n3 = 92 days

r = Interest rate = 8.3%

[P1 * (1+ (r * n1 /365))] + [P2 * (1+ (r * n2 /365))] = P3 + [P4 / (1+(r*n3/365)]

[$4000 * (1+(8.3%*200/365)] + [$6000 * (1+(8.3%*63/365)] = $5000 + [P4 / (1+(8.3%*92/365))]

[$4000 * 1.04547945] + [$6000 * 1.01432603] = $5000 + [P4 / 1.02092055]

$4181.9178 + $6085.95618 = $5000 + [P4/1.02092055]

P4/1.02092055 = $5267.87398

P4 = $5378.080801

Therefore, the size of the final payment is $5378.08

Learn more about loans on:

brainly.com/question/26011426

#SPJ1

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A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror
tigry1 [53]

Answer:

150 ft

Step-by-step explanation:

The diagram shown gives us a picture of two similar right triangle.

The height of the man is similar to the height of the platform.

To find the height of the platform, multiply the height of the man by the scale factor.

Scale factor = the ratio of any corresponding sides of two similar triangles.

Scale factor = 100 ft ÷ 4 ft = 25

Height of man = 6ft

Therefore, height of platform = 6 ft × 25 = 150 ft

3 0
3 years ago
What is the SST for the data set (1,4), (2,6),(4,11)?
densk [106]

Answer: 26

Step-by-step explanation:

First Data: (4 - 7)^2

Second data: (6 - 7)^2

Third Data: (11 - 7)^2

So the SST is (4 - 7)^2 + (6- 7)^2 + (11 - 7)^2 = 9 + 1 + 16 = 26

Hope this helps! :)

5 0
3 years ago
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The feet of a commemorative parabolic steel arch 100m high are 200m apart. Determine whether the focus of the arch is above or b
Neko [114]
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft. The correct answer is 75 ft above. T The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2 To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a). By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75). So we conclude that the focus lies 75ft above ground.</span>
7 0
3 years ago
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Cual es el valor de 10=z-6
Sever21 [200]

Answer:

z=16

Step-by-step explanation:

10=z-6

10+6=z-6+6

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7 0
2 years ago
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what is the distance between the points (4, 5) and (10, 13) on a coordinte plane a. 12 units b. 8 units c. 10 units d. 14 units
qaws [65]

Answer:

<h2>10 units</h2>

Option C is the correct option

Step-by-step explanation:

Let the points be A and B

A ( 4 , 5 ) ------> ( x1 , y1 )

B ( 10 , 13 ) ------> ( x2 , y2 )

Now, let's find the distance between these points:

\sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} }

plug the values

= \:  \sqrt{(10 - 4) ^{2} +  {(13 - 5)}^{2}  }

Calculate the difference

=  \sqrt{ {(6)}^{2} +  {(8)}^{2}  }

Evaluate the power

=  \sqrt{36 + 64}

Add the numbers

=  \sqrt{100}

Write the number in exponential form with. base of 10

=  \sqrt{ {(10)}^{2} }

Reduce the index of the radical and exponent with 2

= 10 \: units

Hope this helps..

Best regards!!

7 0
3 years ago
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