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Over [174]
2 years ago
12

The price of a specic model of a new car decreased from $23,000 to $21,000 in one year. What is the

Mathematics
1 answer:
Alex2 years ago
3 0

The decrease is 8.7%

Step-by-step explanation:

Old price = $23000

New price = $21000

Difference = New price - Old price

Difference = 21000 - 23000 = -2000

The negative sign indicates the decrease.

Percent\ decrease=\frac{Difference}{New\ value}*100\\\\Percent\ decrease=\frac{2000}{23000}*100\\\\Percent\ decrease=\frac{200000}{23000}\\\\Percent\ decrease=8.69\%

Rounding off to nearest tenth;

Percent decrease = 8.7%

The decrease is 8.7%

Keywords: difference, percentage

Learn more about percentages at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

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First observe that x=-1 is a root of the equation. Use long division to divide x^3-3x^2+x+5 by x+1, we find that (x^3-3x^2+x+5)/(x+1)=(x^2-4x+5). Now we need to find the roots of x^2-4x+5.
x^2-4x+5=0, 
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Use the system of equations to answer the questions.
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Step-by-step explanation:

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The given multiplied expression is

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Step-by-step explanation:

Given expression is (7x^2+a^2)(x^2-3a^2)

To find the multiplication of the given expression :

(7x^2+a^2)(x^2-3a^2)

By using the distributive property to solve the given expression as below

(7x^2+a^2)(x^2-3a^2)=(7x^2)(x^2)+(7x^2)(-3a^2)+(a^2)(x^2)+(a^2)(-3a^2)

=7x^2.x^2-21x^2a^2+a^2x^2-3a^2.a^2

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=7x^4-21x^2a^2+a^2x^2-3a^4

Adding the like terms in the above expression we get

=7x^4-20x^2a^2-3a^4

Therefore (7x^2+a^2)(x^2-3a^2)=7x^4-20x^2a^2-3a^4

Therefore the given multiplied expression is

(7x^2+a^2)(x^2-3a^2)=7x^4-20x^2a^2-3a^4

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