2y = 4x + 8 4y = 4x + 20

2 answers:

8 0

2y = 4x + 8

Multiply 2 to both sides

(2)2y = 2(4x + 8)
4y = 8x + 16

Plug in 8x + 16 for 4y.

8x + 16 = 4x + 20

Isolate the x, subtract 4x from both sides and 16 from both sides

8x (-4x) + 16 (-16) = 4x (-4x) + 20 (-16)

8x - 4x = 20 - 16

4x = 4

divide 4 x from both sides to isolate the x

4x/4 = 4/4

x = 4/4

x = 1

Plug in 1 for x in one of the equations

2y = 4(1) + 8
2y = 4 + 8
2y = 12

isolate the y, divide 2 from both sides

2y/2 = 12/2

y= 12/2
y = 6

x = 1, y = 6 is your answer

hope this helps

mars1129 [50]2 years ago

6 0

2y = 4x + 8 ------> y = 2x + 4
4y = 4x + 20 ------> y = x+5

2x+4 =x+5
x = 1
y=x+5=1+5=6

Check:
2*6 = 4*1 + 8 , 12 =12
4*6 = 4*1 + 20, 24 =24

x=1,y=6
(1,6)

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Answer:

$= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000 }{(1+\frac{15}{100})^3 }$

$=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}$

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Step-by-step explanation:

= (probability of entire face value paid*face value+probability of entire face value not paid*percent of face value paid*face value)/(1+discount rate)^years to maturity

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probability of entire face value not paid = 25%

percent of face value paid= 60%

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$= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000 }{(1+\frac{15}{100})^3 }$

$=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}$

$=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76$

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