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3 years ago

A box plot is shown below:

Mathematics

1 answer:

valkas [14]3 years ago

8 0

D. Median = 33; Q1 = 25
The median is represented by the line in between the 2 boxes.
Q1 is represented by the line on the far left on the box
In the picture Q1 is marked for Quadrant 1 and M is marked for Median

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The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

3 0

3 years ago

Multiply the following polynomials

Sophie [7]

Answer (2x + 7) • (x2 - 2)

Step-by-step explanation:

please give me brainlest!!

Step by step solution :

Step 1 :

Trying to factor as a Difference of Squares :

1.1 Factoring: x2-2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Final result :

(2x + 7) • (x2 - 2)

6 0

3 years ago

Read 2 more answers

Please!! algebra 1. find the intercepts 90=6a+3s

horsena [70]

Divide both sides by -3 and the answer s=-2a + 30

8 0

3 years ago

Let f(x) =(x-3) find the domain of x

m_a_m_a [10]

Answer:

all real numbers

Step-by-step explanation:

The domain of a function is the set of values you can set as x to output an answer. Since you can subtract 3 from any real number, the domain of x-3 is all real numbers.

5 0

3 years ago

Two more than eleven times a number is equal to 24. What is the number?

Luden [163]

Answer:

Step-by-step explanation:

24/ 11 = 2 2/11

so, we have 2 and 2/11

11x2 = 22 + 2 = 24

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3 years ago