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Sedaia [141]
3 years ago
9

Lydia has money in two savings accounts. One rate is 7% and the other is 13%. If she has $300 more in the 13% account and the to

tal interest is $252, how much is invested in each savings account?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

  • 7%: $1065
  • 13%: $1365

Step-by-step explanation:

If x represents the amount invested at 7%, then the amount invested at 13% is x+300. Lydia's total interest is ...

  0.07x +0.13(x +300) = 252

  0.20x = 213 . . . . . subtract 39

  x = 213/0.20 = 1065

Lydia has $1065 invested at 7% and $1365 invested at 13%.

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Elden [556K]

Answer:

D. -10

Step-by-step explanation:

The sum of a triangle = 180°, therefore,

64° + 63° + x + 63 = 180°

Add like terms

x + 190° = 180°

Subtract 190 from each side

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Answer:

Element            Valence electrons

Nitrogen                         5

Silicon                            4

Oxygen                          6

Magnesium                    2

Explanation :

Valence electrons : Valence electrons are the electrons which is present on the outermost shell of the electron.

The given element is nitrogen that belongs to group 15 and the atomic number 7.

The number of electrons present on nitrogen element are 7.

The electronic configuration of nitrogen element is,

The number of valence electrons present on nitrogen element are, 5.

The given element is silicon that belongs to group 14 and the atomic number 14.

The number of electrons present on silicon element are 14.

The electronic configuration of silicon element is,

The number of valence electrons present on silicon element are, 4.

The given element is oxygen that belongs to group 16 and the atomic number 8.

The number of electrons present on oxygen element are 8.

The electronic configuration of oxygen element is,

The number of valence electrons present on oxygen element are, 6.

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The number of electrons present on magnesium element are 12.

The electronic configuration of magnesium element is,

The number of valence electrons present on magnesium element are, 2.

Step-by-step explanation:

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3 years ago
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Strike441 [17]

Answer:

b = 7√3

Step-by-step explanation:

This 30°- 60°- 90° triangle has the proportions:

side opposite of the 30° angle = x

side opposite of the 60° angle = x√3

side opposite of the 90° angle = 2x

____________________________

Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.

Since x = 7, x√3 = 7√3, and therefore

b = 7√3.

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