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maks197457 [2]
3 years ago
8

What is the solution to the following system of equations? y + x = 43 y − x = −12

Mathematics
1 answer:
balu736 [363]3 years ago
5 0

Answer:

  • (27.5, 15.5)

Step-by-step explanation:

<h3>Given </h3>
  • y + x = 43
  • y − x = −12
<h3>Solution</h3>

<u>Sum up the equations:</u>

  • y + x + y - x = 43 - 12
  • 2y = 31
  • y = 31/2
  • y = 15.5
  • x = 43 - 15.5 = 27.5
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How much must be deposited today into the following account in order to have $ 50,000 in 6 years for a down payment on a​ house?
Charra [1.4K]

Answer:

The Amount initially deposited is $37046.64

Step-by-step explanation:

A = p (1+r/n)^(nt)

A= final amount= $5000

P = principal amount=

r = rate = 0.05

n = number of times compounded

= 6*12

= 48

t = years= 6

A = p (1+r/n)^(nt)

50000 = p (1+0.05/48)^(48*6)

50000= p(1.001041667)^288

50000= p (1.34965)

50000/1.34965= p

37046.64 = p

The Amount initially deposited is $37046.64

3 0
3 years ago
Of the last 15 trains to arrive at Springfield Station, none of them were on time.
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20 min wait ehat min
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These two cylinders are congruent. cylinder a has a radius of 4 centimeters. cylinder b has a volume of 176π cubic centimeters.
Dafna11 [192]

The height of cylinder b is 11 cm.

<h3>How to measure the volume of ​​a cylinder?</h3>

The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.

The formula for the volume of a cylinder is given by:

V = \pi.r^2.h

Where:

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  • r: radius
  • h: height

In this case, as the cylinders are congruent, both will have the same radius, thus:

V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11

See more about height of cylinder at brainly.com/question/14165005

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4 0
2 years ago
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70 thousand considered standard form or written form
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Standard form becuase the 70 is not spelled out
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The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of
never [62]
C = 2(pi)r....so we are looking for the radius (r)
42 = 2 * 3.14 * r
42 = 6.28r
42/6.28 = r
6.69 = r <===
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