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Novosadov [1.4K]
3 years ago
14

Every five years in March, the Population of a certain town is recorded. In 1995, the town had a population of 4,500 people. Fro

m 1995 to 2000, the population increased by 15%. From 2000 to 2005, the population decreased by 4%. What was the towns opoulation in 2005?
Mathematics
1 answer:
alexgriva [62]3 years ago
5 0
4,500 plus 15% is 5,175 minus 4% is 4,968 so your answer is 4,968. 
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Which equation represents a line that passes through the two points in the table x 1,5 and y 1,6
aleksandrvk [35]

For this case we must find a linear equation of the form:

y = mx + b

Where,

m: slope of the line

b: cutting point with vertical axis.

For the slope we have the following equation:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Substituting values we have:

m = \frac {6-5} {1-1}\\m = \frac {1} {0}

We observe that the slope of the line is not defined.

Therefore, the line is vertical.

Thus, the equation of the line is given by:

x = 1

Answer:

The equation of the line is given by:

x = 1

8 0
3 years ago
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Solve for x<br> (2x - 3)(x - 2) = 0
Zinaida [17]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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What is the simplified form of the following expression? <br><br> ^3sqrt(4x/5)
Vladimir [108]

Answer:

= (∛(100x))/5

Step-by-step explanation:

Given the expression; ∛(4x/5)

To simplify this we need to make denominator a perfect cube.

So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.

∛(4x/5) = ∛((4x/5)×(25/25))

            = ∛(100x/125)

            = ∛(100x/5³)

            <u>= (∛100x)/5</u>

7 0
3 years ago
What is the answer to this question?
katen-ka-za [31]

Answer:

10 in., 18.5 in., 31.5 in.

Step-by-step explanation:

Ask me if you need step-by-step, since the problem seems to be multiple choice.

8 0
3 years ago
Solve the proportion 15/6 = 10/p
V125BC [204]

Answer:

  p = 4

Step-by-step explanation:

The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)

<h3>Cross multiply</h3>

This means multiply both sides of the equation by the product of the denominators:

  (15/6)(6p) = (10/p)(6p) . . . . "cross multiply"

  15p = 60 . . . . . . simplify

<h3>Second step</h3>

Now, divide by the coefficient of the variable.

  15p/15 = 60/15

  p = 4

The solution is p = 4.

__

<em>Additional comment</em>

If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.

__

For example, to solve ...

  2/5 = p/10

you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.

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Any proportion can be written 4 ways:

  \dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:

  6/15 = p/10   ⇒   p = 10(6/15) = 4

4 0
1 year ago
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