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3 years ago

Demand for electrical services in your area is $12 million per year. It is expected to grow 10% compounded annually

2 answers:

8 0

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &\stackrel{millions}{\$12E6}\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=12E6(1 + 0.10)^{5}\implies A=12E6(1.1)^5\implies A=19326120$

astraxan [27]3 years ago

3 0

Answer:

$19.3 million

Step-by-step explanation:

The demand in 5 years can be found by using the given formula for exponential growth with the given beginning value, growth rate, and time.

E = B(1 +r)^t

You are given B = 12, r = 0.10, t = 5, so the ending value is ...

E = 12(1 +0.10)^5 = 12(1.61051) = 19.32612

Demand for electrical services in 5 years will be about $19.3 million per year.

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Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46

JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

$M = \frac{50463-38737}{2} = 5863$

Relating the margin of error with the sample size:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.64.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

For this problem, we have that $\sigma = 14300, M = 5863$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$5863 = 1.645\frac{14300}{\sqrt{n}}$

$5863\sqrt{n} = 1.645*14300$

$\sqrt{n} = \frac{1.645*14300}{5863}$

$(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2$

$n = 16$

The sample size was of 16.

7 0

3 years ago

For 9-20 tell whether the first number is a multiple of the second number

jeyben [28]

Answer:

21,7 - yes

28,3 - no

17,3 - no

20,4 - yes

55,5 - yes

15,5 - yes

26,4 - no

32,8 - yes

48,7 no

60,2 - yes

79,4 - no

81,3 - yes

Step-by-step explanation:

hope that helps

7 0

2 years ago

Polygon LMNOP was transformed to create polygon L'M'N'O'P'.2 pentagons have identical side lengths and angle measures. The point

algol13

The Angle that would correspond to Angle N after the transformation is; Angle N'

<h3>How to Interpret Transformations?</h3>

A polygon is defined as a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

In the transformation of LMNOP to create polygon L'M'N'O'P', we have that;

L corresponds to L'

M corresponds to M'

N corresponds to N'

O corresponds to O'

P corresponds to P'

Thus, we can conclude that Angle N would correspond to Angle N'

Read more about Transformations at; brainly.com/question/4289712

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7 0

2 years ago

2 less then 3 times a number is 9