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sammy [17]
3 years ago
8

3% tax, $314 weekly: Find the amount of local tax deducted.

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0
Each week $9.42 is taxed of 314
kiruha [24]3 years ago
3 0

Keywords:

<em>Tax, amount, rule of three </em>

For this case we are told that we have a tax of 3% of a weekly amount, we must find how much that 3% of the total amount represents. For them, we propose a rule of three:

314 ----------> 100%

x --------------> 3%

Where "x" represents the amount of taxes according to the total amount.

x = \frac {3 * 314} {100}\\x = $ 9.42

So, the amount of the tax is $ 9.42

Answer:

The amount of the tax is $ 9.42

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inna [77]

Answer:

x=20

Step-by-step explanation:

Square both sides

4+x/6=4

4+x=4*6

x=24-4

x=20

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3 years ago
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Ralph is leasing a car worth $24,000 for three years. His leasing company says that the car Ralph is leasing will only be worth
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Can someone help me with this
VladimirAG [237]

Answer:

  A) 24 ft³

Step-by-step explanation:

The area of the right triangle base is ...

  A = (1/2)(3)(4) = 6 ft²

The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).

  V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A

_____

<em>Comment on the triangle</em>

You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:

  5² = 3² +4²

  25 = 9 + 16 . . . . . true; so the triangle is a right triangle

In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.

Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.

  A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle

8 0
3 years ago
4n^(2)+4n=3<br> Please help with the work
Kaylis [27]

Answer:

n= 1/2 ( \frac{1}{2} )  or  (0.5)

AND

n= -3/2 ( -\frac{3}{2} ) or (-1.5)

Step-by-step explanation:

4n^2+4n=3

step1: move 3 to the other side and make the equation equal to zero.

4n^2+4n-3=0

step2: factorise the equation.

(2n-1)(2n+3)=0

step3: make each bracket equal to zero.

2n-1=0

2n+3=0

step4: solve for n values.

<u>1.</u> 2n-1=0

(add 1 for both sides)

2n=1

(divide by 2 for both sides)

n= 1/2 ( \frac{1}{2} )  or  (0.5)

<u>2.</u> 2n+3=0

( subtract 3 for both sides)

2n=-3

(divide by 2 for both sides)

n= -3/2 ( -\frac{3}{2} ) or (-1.5)

3 0
2 years ago
Which of ghe following is equivalent to (x+4)(3x^2+2x)?
Alexxandr [17]

The given expression is

(x+4)(3x^2 +2x)

And in the second factor, x is common. So on taking x out, we will get

(x+4)(x)(3x+2) = x(x+4)(3x+2)

We can expand it by distributing , that is

(x+4)(3x^2 +2x) = x(3x^2 +2x) +4 (3x^2 +2x)

= 3x^3 +2x^2 + 12x^2 +8x

Combining like terms,

= 3x^3 +14x^2 +8x

And that's the expanded form ., and the given expression can also be written in that way .

7 0
3 years ago
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