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kirill115 [55]
3 years ago
15

The population of a town increase exponentially at a rate of x% per year.

Mathematics
2 answers:
leva [86]3 years ago
5 0

Answer:Plug the numbers into the exponential growth formula: 

Now work backwards to get the answer:

1)Divide 120150 by 60100 to get 1.998668885

2) Find the 11th root of ANS:

3) Minus 1 from your answer to give 0.064976629

4)Multiply your answer by 100 to give you the rate of x%, which is 6.5 to 1d.p

x=6.5 (1 d.p.)

Btw, this answer also works if you plug it back into the equati

Step-by-step explanation:

Harlamova29_29 [7]3 years ago
4 0

Answer:

Someone who can do it idk

Step-by-step divide 2000

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I help to answer this problem
Sloan [31]

Answer:

4x+9+x+17=180-29

5x+26=151

5x=125

x=25

6 0
2 years ago
Two rational expressions have denominators of 2x + 3 and 3 + 2x. Can you find their sum by simply adding their numerators and pl
horrorfan [7]
Okay i haven't done this years but base on my knowledge it think that the answer is 6 and that because:
(2x+3) + (3-2x)
(2x+2x+3) +(3-2x+2x)      (what ever you to one side you do the next and that why it cancel each other)
3+3=6
that my explanation hope this help


 
4 0
3 years ago
What is the verbal expression of 4(2x-7)
lisabon 2012 [21]
The answer is 8x - 28
4 0
3 years ago
Read 2 more answers
If a survey of a movie shows that 50% of all people who like the movie, enjoyed the official movie soundtrack too. If a total of
Murljashka [212]

Answer:

For the first question the sample size is n= 3850

ME= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

\hat p \pm ME

And replacing we got:

0.5- 0.016 = 0.484

0.5+ 0.016 = 0.516

We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.

Step-by-step explanation:

We have the following info given:

\hat p = 0.5 represent the estimated proportion of all people who like the movie

n = 3850 represent the sample size selected

For the first question the sample size is n= 3850

For the second part they gives to us the margin of error:

ME = 0.016

We know that the confidence interval for a population proportion p of interest is given by:

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

And the margin of error is given by:

ME= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

So then the confidence interval can be found with this formula:

\hat p \pm ME

And replacing we got:

0.5- 0.016 = 0.484

0.5+ 0.016 = 0.516

We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.

5 0
2 years ago
Please help me answer this!
Tomtit [17]

Answer:

<em>x = 3</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

The tangent ratio relates the opposite leg with the adjacent leg. Please note the given side is the opposite leg to 60° and x is the adjacent leg to 60°, thus we apply the tangent ratio:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 60^\circ=\frac{3\sqrt{3}}{x}

Solving for x:

\displaystyle x=\frac{3\sqrt{3}}{\tan 60^\circ}

Since:

\tan 60^\circ=\sqrt{3}:

\displaystyle x=\frac{3\sqrt{3}}{\sqrt{3}}

Simplifying:

x = 3

5 0
2 years ago
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