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3 years ago

The sum of five times a number, x, and another number, y, is 54. the difference of x and y is 2. find x and y

Mathematics

1 answer:

svp [43]3 years ago

5 0

2(20 - y) - 4y = 4

I hope that this helps

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Step-by-step explanation:

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Victor wants to purchase a perpetuity paying 100 per year with the first payment due at the end of year 11. He can purchase it b

Kitty [74]

Answer:

K = 151.9422481

Step-by-step explanation:

At the end of year 10, your perpetuity is worth 100/i

(1) is worth 90×s_{10%i}

So if you set them equal you get 90*[(1+i)^10 - 1]/i = 100/i or [(1+i)^10 - 1] = 10/9 or (1+i)^10 = 19/9 or i = 0.077583937

So now the question compare (1) to (2), at t = 0

(1) is worth 90×a_{10%i} = 90(1 - 1/(1.077583937)^10)/0.077583937 = 610.5441743

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3 years ago

Mani is painting rectangular canvas with length of 50 cm.He will need 160 of wood trim to frame the canvas.What is the width of

Strike441 [17]

Step-by-step explanation:

We have,

Mani is painting rectangular canvas with length of 50 cm, l = 50 cm

He need 160 cm of wood trim to frame the canvas. It means that the perimeter of the frame is 160 cm.

The perimeter of rectangle is given by :

$P=2l+2b$

b is width of the canvas

$b=\dfrac{P-2l}{2}\\\\b=\dfrac{160-2(50)}{2}\\\\b=30\ cm$

So, the width of the canvas is 30 cm.

Area of rectangular frame is given by :

$A=l\times b\\\\A=50\times 30\\\\A=1500\ cm^2$

So, the area of the canvas is $1500\ cm^2$ .

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4 years ago

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