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1 year ago

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In September a clothing store had a sale where you could get 5 scarves for $28.35. In October the price was changed to 7 scarves

for $40.39. In which month did a scarf cost the most?

1 answer:

kykrilka [37]1 year ago

7 0

Answer: october

Step-by-step explanation:

for october its 5.77

and for september its 5.67

so october is the answer

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The perimeter of a rectangle is 48 ft. If the length is thrice its width, find the dimensions of the rectangle.

VikaD [51]

Answer:

here you go

Step-by-step explanation:

8 0

2 years ago

There will be a circular patio with a diameter of 7 metres. greg is going to put a tiled edge around the patio. what is the ci

Paladinen [302]

If diameter is7, the radius is 3.5m
so c=2πr
=2×3.14×3.5
=21.98m

6 0

2 years ago

Read 2 more answers

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:

brainly.com/question/25802424

7 0

2 years ago

5(2x-4)-11=4+3x and solve

emmainna [20.7K]

Simplify each term<span>.
</span><span>10x−20−11=4+3x

</span>Add <span>−20</span><span> and </span><span>−11</span><span> to get </span><span><span>−31</span>.
</span><span>10x−31=4+3x

</span>Move 3x to the left-hand side of the equation<span> by subtracting </span><span>3x</span><span> from both sides.
</span><span>10x−31−3x=4

</span>Add <span>10x</span><span> and </span><span>−3x</span><span> to get </span><span><span>7x</span>.
</span><span>7x−31=4

</span>Since <span>−31</span><span> does not contain the </span>variable<span> to solve for, move it to the right-hand side of the </span>equation<span> by adding </span>31<span> to both sides.
</span><span>7x=31+4

</span>Add 31<span> and </span>4<span> to get </span><span>35.
</span><span>7x=35

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>7.

</span><span>x=5</span>

5 0

3 years ago

Read 2 more answers

Select the correct answer.

tankabanditka [31]

Answer:

Steps 1 and 2

Step-by-step explanation:

I haven't done elementary school math in a while, but I feel like I should know this. Sorry if it's wrong. I'm 90% sure that this is the right answer.

3 0

3 years ago