2 years ago

9.) Suppose you bought supplies for a party. Three rolls of streamers and 15 party hats cost $34.50. Later, you

Mathematics

1 answer:

AlexFokin [52]2 years ago

7 0

The answer to the question you are looking for is $15.20

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Translate the phrase into an algebraic expression 7 more than c

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Step-by-step explanation:

c+7

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if 3000$ is invested at a rate of 12% compounded continuously, find the balance in the account after 5 years. Use the formula A=

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$x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)$

$x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx))$

the sum of their squares is 110, So $x^2+y^2 + z^2= 110$

the sum of their cubes is 684, so $x^3+y^3 + z^3= 684$

the product of the three integers is 210, so xyz= 210

the sum of any two products (xy+yz+zx) is 107

Now we plug in all the values in the identity

$x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx))$

684 - 3(210) = (x+y+z)(110-107)

684 - 630 = (x+y+z)(3)

54 = 3(x+y+z)

Divide by 3 on both sides

18 = x+y+z

the value of the sum of three integers is 18

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