the perimeter of a rectangular garden is 72 yards. the width of the garden is 9 yards. how long is the garden?

In the year 2017, an estimated 4,347,000 people in this country are illiterate.

Salsk061 [2.6K]

The number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

<h3>What is percentage decrease?</h3>

Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.

In the year 2017, an estimated 4,347,000 people in this country are illiterate. With new incentives and funding, The country is hoping to cut that number by 14% every year.

Total year from 2017 to 2025 are 8 years. Thus, use the following formula of compound interest to find percentage decrease:

$A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\$

Here, A is the final population, The initial population is P, the rate is r and the time period is t. Put the values,

$A=4347000\times\left(1-\dfrac{14}{100}\right)^{8}\\A\approx1300700$

Thus, the number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

Learn more about the percentage decrease here;

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8 0

3 years ago

From Euler’s relation eiθ = cosθ + isinθ,

adelina 88 [10]

Answer:

(a) The graphic representation is in the attached figure.

(b) $\cos(\theta) = \frac{e^{i\theta} + e^{-i\theta}}{2}$ .

(c) $\sin(\theta) = \frac{e^{i\theta} - e^{-i\theta}}{2i}$ .

Step-by-step explanation:

(a) Given a complex number $e^{i\theta}$ we know, from Euler's formula that $e^{i\theta} = \cos(\theta)+i\sin(\theta)$ . So, it is not difficult to notice that

$|e^{i\theta}|^2 = \cos^2(\theta)+\sin^2(\theta) =1$

so it is on the unit circumference. Also, notice that the Cartesian representation of the complex number is $(\cos(\theta), \sin(\theta))$ .

Now,

$e^{-i\theta} = \cos(\theta)+i\sin(-\theta) = \cos(\theta)-i\sin(\theta)$ .

Notice that $e^{-i\theta}$ has the same modulus that $e^{i\theta}$ , so it is on the unit circumference. Beside, its Cartesian representation is $(\cos(\theta), -\sin(\theta))$ .

So, the points $(\cos(\theta), \sin(\theta))$ and $(\cos(\theta), -\sin(\theta))$ are symmetric with respect to the X-axis. All this can be checked in the attached figure.

(b) Notice that

$e^{i\theta} + e^{-i\theta} = \cos(\theta)+i\sin(\theta) + \cos(\theta)-i\sin(\theta) = 2\cos(\theta)$

Then,

$\cos(\theta) = \frac{e^{i\theta} + e^{-i\theta}}{2}$ .

(c) Notice that

$e^{i\theta} - e^{-i\theta} = \cos(\theta)+i\sin(\theta) - \cos(\theta)+i\sin(\theta) = 2i\sin(\theta)$

Then,

$\sin(\theta) = \frac{e^{i\theta} - e^{-i\theta}}{2i}$ .

7 0

3 years ago

How many terms are in the expression x^4-3x+2

skad [1K]

When talking about Algebra, a term is a single number or a variable (or both). Terms are usually separated by + or - signs! In this expression, there are 3 terms.

The numbers/variables in bold show the terms:
x^4-3x+2
I hoped I helped!

6 0

3 years ago

Solve the simultaneous equations 3 x - 5 y = 5 ,x + 10y= 4

Phoenix [80]

-46 and 5
Hope its right

7 0

3 years ago

A random sample of 11 students produced the following data, where x is the hours spent per month playing games, and y is the fin

Sholpan [36]

Answer:

b = - 3.7

Step-by-step explanation:

here are the data values:

x y XY X²

14 46 644 196

15 49 735 225

16 37 592 256

17 42 714 289

18 37 666 324

19 31 589 361

20 25 500 400

21 23 483 441

22 20 440 484

23 15 345 529

24 12 288 576

now we are required to find the summation (total) of all values of X, Y, XY and X².

∑X = 209

∑Y = 337

∑XY = 5996

∑X² = 4081

The formular for finding b is given as:

b = n∑XY - (X)(Y) / n∑X² - (∑X)²

= 11(5996) - (209)(337) / 11(4081) - (209)²

= 65956 - 70433 / 44891 - 43681

= -4477/ 1210

= -3.7

The question asked us to find the <em>value of b</em> but we can go further to find the equation of the regression line:

a = ∑Y - b∑X / n

= 337 - (-3.7)(209)/ 11

=1110.3/11

= 100.94

the equation is:

Y = 100.94 - 3.7X

I hope you find my solution useful!

=

4 0

4 years ago