Suppose a city with population 500,000 has been growing at a rate of 4.3% per year. If this rate​ continues, find the population of this city in 10 years

In the Show Your Work box, must have the following:
- 1 pt- Formula used
- 1 pt- Variables and what they stand for
- 3 pts- Full solving process

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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The Explanation of decimal place value is like place value with whole numbers is shown below.

We know,

Each place value to the left of a whole number is multiplied by ten, but a place value to the right of a decimal number is divided by ten.

For example,

We take whole number 254 where place values are

2- Hundred, 5- Tens and 4- Ones

and, take the decimal 2.369 where the place values are

3- Tenth, 6- hundredth and 9- thousandth

So, both decimal and whole number have similar concept of place value but one is multiplied by 10 and other is divided by 10.

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Answer:

(2x−y)  

Step-by-step explanation:

Debes utilizar la fórmula de cubo binomial, a  

3 −3a 2 b+3ab 2 −b3 =(a−b)  3

donde a=2x y b=y.

Answer:

1/9

Step-by-step explanation: 1/3/3

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Answer:

A

Step-by-step explanation:

vertex is (-3,-4)

so inside the absolute value bars need to be postive 3 and the four has to be -4.

i cant see your photo

Step-by-step explanation:

Answer:

Girl how do you not know this is the most easiest thing /hj

Step-by-step explanation:

its a linear and strong association bc the dots are very refined and stuck together very well

Answer:

8

Step-by-step explanation:

The user above is correct. The square root of 61 is equal to 7.810249676 which can be rounded up to 8.

Answer:

Do l x w. Length (x) width.

Step-by-step explanation:

Answer:

FOR TRIANGLE--- area = Base TIMES Height.

Step-by-step explanation:

Answer:

y = - \(\frac{1}{3}\) x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 3 ← is in slope- intercept form

with slope m = 3

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) , then

y = - \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 6, 9 ) into the partial equation

9 = - \(\frac{1}{3}\) (-6) + c = 2 + c ( subtract 2 from both sides )

7 = c

y = - \(\frac{1}{3}\) x + 7 ← equation of perpendicular line

Answer:

The figure above is congruent by SSS axiom.

AB=DE (S)

AC=EF(S)

BC=DF(S)

Hence the given triangle are congrent.SSS axiom is Side.Side.Side axiom.

I think it will help you.

Answer:

She should find the squares between 4.2 and 4.3

Step-by-step explanation:

The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.

Answer:

31

Step-by-step explanation:

you just add for to 27

Answer:

I believe the answer is c

Answer:

speed=3.33m/s

Step-by-step explanation:

speed= distance÷time

3.33 m/s

length = ?

Answer:

Length  : 50m

Speed   : 5 m  /  s

im sorry if im too late :'(

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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Answer:

1250 feet

Step-by-step explanation:

1 inch = 50 feet

25 inches = 50 x 25 feet

25 inches = 1250 feet

Please mark brainliest

Answer:

The first one.

Step-by-step explanation:

The answer would be 228.295489891

Rounded to the nearest tenth it would 228.3

Answer:

471.1 square units

Step-by-step explanation:

A regular nonagon is a 9-sided polygon with sides of equal length.

The apothem of a regular polygon is the distance from the center of the polygon to the midpoint of one of its sides.

Therefore, the given diagram shows a regular nonagon with an apothem of 12 units.

The side length (s) of a regular polygon can be calculated using the apothem formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Apothem of a regular polygon}\\\\$a=\dfrac{s}{2 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\where:\\\phantom{ww}$\bullet$ $s$ is the side length.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Given values:

Substitute the given values into the formula to create an expression for the side length (s):

\(12=\dfrac{s}{2 \tan\left(\dfrac{180^{\circ}}{9}\right)}\)

\(12=\dfrac{s}{2 \tan\left(20^{\circ}\right)}\)

\(s=24 \tan\left(20^{\circ}\right)\)

The standard formula for an area of a regular polygon is:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\cdot s\cdot a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute the found expression for s together with n = 9 and a = 12 into the formula and solve for A:

\(A=\dfrac{9 \cdot 24 \tan(20^{\circ}) \cdot 12}{2}\)

\(A=1296\tan(20^{\circ})\)

\(A=471.705423...\)

\(A=471.7\; \sf square\;units\;(nearest\;tenth)\)

Therefore, the area of a regular nonagon with an apothem of 12 units is 471.1 square units, rounded to the nearest tenth.

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

From the question, we have the following parameters that can be used in our computation:

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

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Answer: 1.3

Step-by-step explanation:

If u subtract 6-4.7 u will get 1.3 and you can also do it for all and u will still get the same answer

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

An example of an item where you would need to find the area of a square is a square table.

An example of an item where you would need to find the area of a rectangle is a phone that has a rectangular shape.

It's important to note that the area of a square is the multiplication of its sides by itself. For example, if the side is 4cm, the area will be:

= 4²

= 4 × 4.

= 16cm²

The area of a rectangle will be:

= Length × Width

Assuming length and width are 5cm and 2cm. This will be:

= 5 × 2

= 10cm²

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Answer:

It's dilate

Step-by-step explanation:

Because it changed in size and if it would to be translation the same size would be the same just different amount of spaces between the shapes.

Answer:

$ 6,500 was invested at 7%, while $ 17,000 was invested at 2%.

Step-by-step explanation:

Given that two investments totaling $ 23,500 produce an annual income of $ 795, and one investment yields 2% per year, while the other yields 7% per year, to determine how much is invested at each rate, the following calculation must be performed:

23,500 x 0.07 + 0 x 0.02 = 1,645

11,750 x 0.07 + 11,750 x 0.02 = 1,057.5

5.875 x 0.07 + 17.625 x 0.02 = 763.75

6,500 x 0.07 + 17,000 x 0.02 = 795

Thus, $ 6,500 was invested at 7%, while $ 17,000 was invested at 2%.

The difference between the maximum and the minimum values of the trigonometric function is 6.

We have to determine the difference between the maximum and the minimum values of the trigonometric function.

The function is y = -3cos(2x) + 8

The maximum and the minimum value of cos can be defined at the value of 0 and 1.

As we know that, the value of cos0 = 1 and the value of cos90 = 0

Now the value of the function at x = 0

y = -3cos(2×0) + 8

y = -3cos(0) + 8

y = -3×1 + 8

y = -3 + 8

y = 5

Now the value of the function at x = 90

y = -3cos(2×90) + 8

y = -3(-1) + 8

y = 3 + 8

y = 11

The difference between the maximum and the minimum values of the trigonometric function = 11 - 5

The difference between the maximum and the minimum values of the trigonometric function = 6

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