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Luba_88 [7]
2 years ago
6

What is the substitution 3x-5y=11;x=3y+1

Mathematics
2 answers:
slavikrds [6]2 years ago
7 0

3x-5y=11 ------- 1

x=3y+1――――2

from 2 make x subject of the formula

x=3y+1――――3

so put (3y+1)for x in 1

3(3y+1)-5y=11

9y+3-5y=11

4y+3=11

4y=11-3

4y=8

divide both side by 4

y=2――――4

put 2 for y in 3

x=3y+1

x=3(2)+1

x =7

nikitadnepr [17]2 years ago
3 0
Substitute 3x+1 for x. Then solve from there
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Answer please I will give brainiest to the one who answers first.
Lerok [7]

Answer:

  • $1,094,748.09
  • $8600.28
  • 11 years, 10 months

Step-by-step explanation:

a) The compound interest formula can be used:

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

  A = $750,000(1 +.038/4)^(4·10) ≈ $1,094,748.09

Tamsyn's account will have a balance of $1,094,748.09 when she retires.

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b1) The amortization formula is good for this.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the amount earning interest at annual rate r compounded n times per year for t years.

  A = $1,094,748.09(0.049/12)/(1 - (1 +0.049/12)^(-12·15)) ≈ $8600.28

Tamsyn can withdraw $8600.28 per month for 15 years.

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b2) The account balance after n months will be ...

  B = P(1 +r/12)^n -A((1+r/12)^n -1)/(r/12)

Filling in the known values and solving for n, we have ...

  300,000 = 1,094,748.09(1.1.00408333^n) -8600.28(1.00408333^n -1)/.000408333

  300,000 = 1,094,748.09(1.1.00408333^n) -2,106,191.02(1.00408333^n -1)

  -1,806,191.02 = -1,011,442.93(1.00408333^n)

  1.785757 = 1.00408333^n

  n = log(1.785757)/log(1.00408333) = 142.3

After about 11 years 10 months, the account balance will be $300,000.

4 0
3 years ago
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SVETLANKA909090 [29]
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2 years ago
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ivanzaharov [21]
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7 0
3 years ago
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Eva8 [605]

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

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6 0
3 years ago
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MrRa [10]

Answer:

The correct answer is option D.  4

Step-by-step explanation:

Points to remember

Opposite sides of the parallelogram are equal.

From the figure we can see that,AB and CD are opposite sides.

Therefore AB = CD

<u>To find the length of AB</u>

From the figure we get, AB = 4 units

Therefore CD = 4 units

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y coordinate is -1

x coordinate is 4 units from point D

x coordinate of D is 0, therefore x coordinate of C = 0 + 4 = 4

The correct answer is option D. 4

4 0
3 years ago
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