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valentina_108 [34]
3 years ago
6

Plz help for financial algebra

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Answer:  $277.91

<u>Step-by-step explanation:</u>

The average of the 2 highest salaried quarters is:

\dfrac{\$13,500+\$12,775}{2}=\dfrac{\$26,275}{2}=\$3,137.50

Divide that by 26 (weeks) to find out her average weekly salary:

\dfrac{\$3,137.50}{26}=\$505.29

Multiply that by 55% (0.55) to calculate her weekly unemployment benefit:

\$505.29(0.55)=\$277.908

Round to the nearest penny --> $277.91

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Answer:

1. Simplify: (4x2 - 2x) - (-5x2 - 8x).

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

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Step-by-step explanation:

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3 years ago
9. Water is added to two containers for 16 minutes. The equations below model the ounces of
Vladimir [108]

The two containers hold 328 ounces at the they hold same amount of water.

<u>Step-by-step explanation:</u>

The equations below model the ounces of  water, y, in each container after x minutes.

y = 16x + 104

y = -2x^{2} +40x+160

At the time after the start when the containers hold  the same amount of water, the two equations must be equal.

⇒ 16 x + 104 = -2x^{2}  + 40 x + 160

The first step is to divide everything by 2 to make it simplified.

⇒ 8 x + 52 = - x^2 +20 x + 80

Now put everything on the left .

x^2 + 8 x - 20 x + 52 - 80 = 0

Add the like terms together to further reduce the equation

x^2 - 12 x - 28 = 0

Factorizing the equation to find the roots of the equation.

Here, b = -12 and c = -28

where,

  • b is the sum of the roots ⇒ -14 + 2 = -12
  • c is the product of the roots ⇒ -14 × 2 = -28
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  • The solution is x = -2 or x = 14

Take x = 14  and substitute in any of the given two equations,

⇒ y = 16(14) + 104

⇒ y =224+104

⇒ 328 ounces

∴ The two containers hold 328 ounces at the they hold same amount of water.

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3 years ago
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Answer:

The answer is 4.

Step-by-step explanation:

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Answer:

Acute

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Step-by-step explanation:

To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:

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