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3 years ago

6

3,1,2,2,3,2,6,4 ayuda con esto

1 answer:

zalisa [80]3 years ago

6 0

Answer:

Step-by-step explanation:

¿Qué necesitas para encontrar la mediana o el modo medio?

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The function y = 58. 7(1. 03)^t gives a country’s population, y (in millions), where t is the number of years since January 1994

GREYUIT [131]

Answer:

Approximate population ≈ 74.36 million.

Step-by-step explanation:

The given problem involves modeling of an exponential growth or decay function of a population.

<h2>Definition:</h2>

Exponential growth ( <em>relative growth </em>) occurs when a population grows or <u><em>increases</em></u> exponentially by the same factor, over the same amount of time.
Exponential decay occurs when a population <u><em>decreases</em></u> continuously by a <em>constant factor</em>, over the same amount of time.

We can model the exponential growth of a population using the following Exponential Growth Model:

⇒ $\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$

Where:

P( <em>t</em> ) = population after "<em>t</em><em>" </em>years
<em>P₀ </em>= initial population
<em>r</em> = relative growth rate; <u><em>positive "r" value</em></u><em> </em>means that the population is increasing; <u><em>negative "r" value</em></u> implies that the population is decreasing.
<em>t </em>= time (typically in <em>years</em>)

<h2>Solution:</h2>

Based from the given equation, $\displaystyle\mathsf{y\:=\:58.7(1.03)^t }$ , we can infer that:

⇒ $\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$ or $\displaystyle\mathsf{y\:=\:P_0 (1\:+\:r)^t }$

Where:

P( <em>t</em> ) or <em>y</em> = population after "<em>t" </em>years
<em>P₀ </em>= initial population = 58.7
<em>r</em> = relative growth rate = 0.03 or 3% = the population is <em>increasing</em> (exponential growth).
<em>t </em>= time (typically in <em>years</em>) = 8 years (difference between January 2002 and January 1994).

Step 1: Substitute the given values into the Exponential Growth Model formula, and solve for P( t ) :

$\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1\:+\:.03)^8 }$

Step 2: Follow the order of operations, <u><em>addition</em></u> inside the parenthesis:

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1.03)^8 }$

Step 3: Follow the order of operations, applying the <u><em>exponent</em></u> into the parenthesis (do not round off the digits inside the parenthesis):

⇒ $\displaystyle\mathsf{P(8)\:=\:58.7 (1.266770081) }$

Step 4: Follow the order of operations, <u><em>multiplying</em></u> 58.7 (<em>P₀</em>) into the parenthesis:

⇒ $\displaystyle\mathsf{P(8)\:\approx \:74.35940378\quad or \quad 74.36\:\:million}$

<h2>Final Answer:</h2>

Therefore, the approximate population of the country in January 2002 is 74.36 million.

<h3>________________________</h3><h3><em>Keywords:</em></h3>

Exponential functions

Exponential growth

Exponential decay

Exponential growth model

____________________________

Learn more about exponential functions here:

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7 0

2 years ago

What are the coordinates of point (-1,4) under dilation<br> D-2?

blsea [12.9K]

Answer:

y=(D−6)x+D−2

Step-by-step explanation:

7 0

2 years ago

Expand (4x+0.9)^2.<br><br> Thanks!:))

maxonik [38]

$(4x+0.9)^2=(4x)^2+2\cdot4x\cdot0.9+0.9^2=16x^2+7.2x+0.81$

5 0

3 years ago

Roberto has 5 more than twice the number of tee shirts that Brisa has. Roberto has 19 tee shirts. How many tee shirts does Brisa

katen-ka-za [31]

Answer:

Step-by-step explanation:

6 0

10 months ago

Given the polynomial, identify the coefficients and degree of each term: 8 x 4 + 7 x + 5 x 2 + 3 x 3 + 7 First term: degree= coe

hoa [83]

Answer:

leading coefficient is 8

degree of the leading term is 4

degree of the polynomial is 4

Step-by-step explanation:

Given

$8x^4 + 7x + 5x^2 + 3x^3 + 7$

Solving (a): The leading coefficient

This is the coefficient of the $variable$ with the highest power.

The highest $power$ in the $polynomial$ is 5.

Hence, the leading coefficient is 8

Solving (b): Degree of the leading term

First, we identify the $leading$ term, i.e. the term that has the $highest$ $power$ .

This term is: $8x^4$

So, the degree of the leading term is 4

Solving (c): Degree of the polynomial

This is the same as the $degree$ of the $leading$ term

So, the $degree$ of the $polynomial$ is 4

5 0

2 years ago