Suppose the student population of Algebra City was 3,845, 721 in 2015. The population was predicted to increase 1.18% each year for the next 25
years. What will the student population of Algebra City be in the year 2025?

3,891, 342 students

4,324,386 students

5, 156, 376 students

4,537,950 students

Answers

Answer 1

Answer:

4,324,386 students

Step-by-step explanation:

Student population in 2015 = 3,845,721

Percentage of students population in 2015 = 100%

Percentage increase of students each year = 1.18%

What will the student population of Algebra City be in the year 2025?

2025 population = 3,845,721(100% + 1.18%)^t

Where

t = number of years

= 2025 - 2015

= 10 years

2025 population = 3,845,721(100% + 1.18%)^t

= 3,845,721(1 + 0.118)^10

= 3,845,721(1.0118)^10

= 3,845,721(1.1244670934955)

= 4,324,386.7152646077555

Approximately,

= 4,324,386 students


Related Questions

Which expression is equivalent to ((2x²) (3x) (4x)??
A.24x7
B.48x?
C.9677
D.576x12

Answers

Answer:

24x^4

Step-by-step explanation:

((2x²) (3x) (4x)

Add the exponents when multiplying

2*3*4 x^(2+1+1)

24x^4

A circle has a radius of 3. An arc in this circle has a central angle of 20°. What is the length of the arc? Either enter an exact answer in terms of or use 3.14 for 1 and enter your answer as a decimal.​

Answers

Answer:

[tex]\frac{\pi }{3}[/tex]

[tex]2 * \pi * 3 * \frac{20}{360}[/tex]

120[tex]\pi[/tex]/360 = [tex]\frac{\pi }{3}[/tex]

Step-by-step explanation:

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest
form.

Answers

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

Find the height of a rectangular prism with a 3 in by 4 in base and a volume of 20 cubic inches

Answers

Answer:

1 2/3 inches.

Step-by-step explanation:

Volume = area of the base * height so:

20 = 3*4 * h

h = 20/12

h = 1 2/3 inches.

Can someone please help?

Will mark brainliest!

Answers

Answer:

108 degrees

Step-by-step explanation:

an arithmetic progression means that there is a constant inbetween all of the angles. Since the smallest angle is 12 degrees, ( i just guessed and checked) and came up with the angles :

12, 60, 108

these have a constant of 48

Answer:

108°

Step-by-step explanation:

Since the angles are in arithmetic progression , then the angles are

a + a + d + a + 2d

a is the first term and d the common difference

Sum the angles and equate to 180 with a = 12

a + a + d + a + 2d = 180

12 + 12 + d + 12 + 2d = 180 , that is

36 + 3d = 180 ( subtract 36 from both sides )

3d = 144 ( divide both sides by 3 )

d = 48

Then the largest angle is

a + 2d = 12 + 2(48) = 12 + 96 = 108°

What is the product of the polynomials below?
(5x2 - x-3)(2x+6)

Answers

[tex]\bf \rightarrow \:(5 {x}^{2} - x - 3) \: \: (2x + 6) \\ \\ \bf \small \rightarrow \:10 {x}^{3} - 2 {x}^{2} - 6x + 30 {x}^{2} - 6x - 18 \\ \\ \bf \rightarrow \:10 {x}^{3} + 28 {x}^{2} - 12x - 18[/tex]

Option D is the correct answer

option D is the right ans. feel free to clarify

Student Council members are designing a large poster that will tell people who each member is and what position each person holds. Each member gets a triangle piece of paper to decorate, then all the pieces will be fitted together to form the final display. The triangles are identical and fit together to form a regular polygon. It will look similar to the shape below:
A) If there are 8 council members, what type of polygon will be formed?
B) To achieve this shape, what type of triangles will the individual pieces be? What will be the measures of each of the three angles in each of the triangles?
C) What will be the sum of the measures of the internal angles of the final shape?
D) Redo parts (b) and (c) if the Council decides to include triangles for the two staff advisors, assuming the poster will still form a regular polygon, but now with 10 triangles.

Answers

A) With 8 council members, the polygon formed with the triangles will be an octagon.

A polygon formed with a set of isosceles triangles will have as many sides as triangles you are using. An octagon is a geometric figure that has 8 equal sides to it.

The final shape should look just like the one you posted with your question.

B) The individual pieces should be isosceles triangles. The three angles of each triangle should measure 45°, 67.5° and 67.5°.

An isosceles triangle is the one that has two sides of the same length and one side with a different length.

We need two sides of the triangles to be the same. The base of the triangle's length will depend on the number of triangles we are using to form the final polygon.

The number of triangles will define the angle between the two sides of equal length. You can find this by dividing 360° into the number of triangles:

[tex]\frac{360^{o}}{8}=45^{o}[/tex]

The other two angles should measure the same, so we can find them by subtracting the 45° from 180° (which is what we get when adding the three angles of any triangle) and then dividing the answer into 2.

180°-45°=135°

[tex]\frac{135^{o}}{2}=67.5^{o}[/tex]

C) The sum of the measures of the internal angles of the final shape should add up to 360°, that way we can guarantee that the figure is closed:

45°+45°+45°+45°+45°+45°+45°+45°=360°

D)

D.B) The individual pieces should be isosceles triangles. The three angles of each triangle should measure 36°, 72° and 72°.

The number of triangles will define the angle between the two sides of equal length. You can find this by dividing 360° into the number of triangles:

[tex]\frac{360^{o}}{10}=36^{o}[/tex]

The other two angles should measure the same, so we can find them by subtracting the 36° from 180° (which is what we get when adding the three angles of any triangle) and then dividing the answer into 2.

180°-36°=144°

[tex]\frac{144^{o}}{2}=72^{o}[/tex]

C) The sum of the measures of the internal angles of the final shape should add up to 360°, that way we can guarantee that the figure is closed:

36°+36°+36°+36°+36°+36°+36°+36°+36°+36°=360°

You can find further information on the following links:

https://brainly.ph/question/6658482

Which of the following is a characteristic of science?

Answers

Answer:d

Step-by-step explanation:

Answer:

D

explanation:

i got it right on the test

What is the area of polygon

Answers

Answer: 39 units squared
You can split it into two sections the rectangle and triangle.
The rectangle is 5 units by 6 units and since the area of a rectangle is b*h; it is 5*6=30 units squared

The triangle isn’t a right triangle but you can still find the base and height, the base is 6 units and the height is 3 units. The area of a triangle is b*h/2; so it is 6*3/2= 9 units squared

Add the two areas together: 9+30= 39 untis squared

26)
A pile of bricks has 93 bricks in the first row, 89 bricks in the second row, 85 bricks in the third row, and so on.
How many bricks are there in the 12th row?
OA) 49 bricks
OB) 69 bricks

Answers

Answer:

49 bricks

Step-by-step explanation:

because it's getting smaller my 4

Answer: 49

Explanation: it’s getting smaller by 4, they already gave us the first three, so now we multiply 4 by 9 and get 36 ( I multiplied 4 by 9 since that’s how many numbers were left to get to 12 from 3) and subtracted 36 by 85 then got 49. Hope this helps ^_^

need help with this!!

Answers

Answer:

{ 1,3,4,6,7}

Step-by-step explanation:

Do B∩C first

This is B intersect C which  means what they have in common

B∩C = {3,6,7}

Then A∪(B∩C)

A union   {3,6,7} which means join together ( combine with no duplicates) the two sets

{ 1,3,4,6,7}

convert into power notation -1/81​

Answers

Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

Does (x, y) satisfy an equation?

Answers

Answer:

Yeah

Step-by-step explanation:

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Answers

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (0-9)^2 + (0-12)^2)

   = sqrt ( 81+144)

  = sqrt(225)

  = 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

Which expressions are equivalent to the given expression?


Answers

Answer:

The answers are option B and E.

The answer is B and E

Find sin 0
A. 16/20
B. 12/16
C. 12/20
D. 16/12

Answers

Answer:

16/20

Step-by-step explanation:

Since this is a right triangle

sin theta = opp side / hypotenuse

sin theta = 16/20

Answer:

A.

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]

You are riding your bike. At 8:00am you have ridden your bike 23 miles. By 9:00pm you have ridden 179 miles. Find the rate of change in miles per hour. If needed, round your answer to the nearest whole number.

Answers

Answer:

12 miles/hour

Step-by-step explanation:

8am to 9pm = 13 hours

in that time we were driving 179-23 = 156 miles.

so, our speed was 156 miles / 13 hours.

now simplify it to our standard miles/hour format :

156/13 = 12

therefore, or standardized speed was

12 miles/hour

An acute angle of a right triangle measures 30°, and the length of the triangle's hypotenuse is 10 ft. Find the missing angle measure and side lengths.

Answers

Answer:

missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

PLS ANSWER YA'LL!

A house owner wishes to cover their roof with solar panels. Each solar panel is of the following size.

->The roof section is rectangular 7.2 m by 4.4 m.

->Each solar panel measures 1400 mm by 850 mm.

There needs to be at least a 30 cm gap left at each edge of the roof section. The house owner thinks he can have at least 15 solar panels fitted to the roof section.

Can u agree? If yes, show the working. (Hint: He can rotate the solar panel)

Answers

Answer:

Yes

Step-by-step explanation:

The roof is Rectangular :

Dimension of roof section : 7.2 m by 4.4 m

Area of roof = length * width

Area of roof = 7.2 * 4.4 = 31.68 m²

Dimension of solar panels = 1400 mm by 850 mm

Converting to m:

1000mm = 1 m

1400/1000 by 850/1000 = 1.4 m by 0.85 m

Area each solar panel = 1.4 * 0.85 = 1.19 m²

Gap left at each edge :

30cm gap about the 4 edges gives a square with side length 30cm:

30cm = 30/100 = 0.3m

Area of gap left = 0.3² = 0.09 m²

Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²

Maximum number of panels that can be placed on roof section :

Total area that can be covered / area of panel

31.59 m² / 1.19 m²

= 26.54 panels

Now graph the points C(2, 8) and D(8, 7). (Try entering the coordinates through the input window.) Measure the lengths of and . Do the points C and D lie on the circle? How do you know? Take a screenshot showing the points and their distances from the center, and paste it below.

Answers

Answer:

this was from plato

Step-by-step explanation:

Answer:

Any point on the circle must be at a distance from the center equal to the length of the circle’s radius. In this example, the radius is 3.61 units, AC = 4.24, and AD = 3.61. Point D, which lies on the circle, has the same distance from the center as the length of the radius. Point C, which lies outside the circle, is at a different distance from the center than the length of the radius.

please answer all the questions above.

Answers

Answer:

hope it was helpful!! You are welcome to ask any question

Answer:

Step-by-step explanation:

1) 7 - ( 3+4) = 7 + [- (3+ 4)] =  7 + (-3) + (-4)    

(-) is distributed to 3 and 4

A

2) C

I (-3) -  4 I

3) 5 + 3 = 8 miles

B

please explain this to me.

Answers

Answer:

Equation of line:- y=2x-7

slope(m)=2

slope of parallel line (m)=2

∴ Equation of parallel line:- y=2x+b

it passes through the point (-3,6)

6=2(-3)+b   6+6=b

b=12

∴ y=2x+12

OAmalOHopeO

the system of equations y =-3x+2 and y =1/2 x -6 is shown on the graph below. What is a reasonable estimate for the solution>

Answers

The reasonable estimate for the solution is (2.29, -4.87)

The reasonable estimate for the solution is the point where the two lines intersect each other.

To get the point where they intersect, we will simply equate the system of equations given as shown:

[tex]-3x+2=\frac{1}{2}x-6\\Collect \ the \ like \ terms\\-3x-\frac{1}{2}x=-6-2\\\frac{-7x}{2}=-8\\-7x=-16\\x=\frac{16}{7} \\x=2.29[/tex]

Substitute x = 2.29 into any of the equation

Using the equation y = -3x+2

y = -3(2.29)+2

y = -6.87+2

y =-4.87

This shows that the reasonable estimate for the solution is (2.29, -4.87)

Further explanation about the system of equations can be found here https://brainly.com/question/19713330

The point of intersection of the linear equations is approximately [tex](x,y) = (2.286, -4.857)[/tex].

The most quickest approach that offers a reasonable solution consist in representing both linear functions graphically by means of a graphing tool (i.e. Desmos). As there is a system of two equation and two variables, the system can be represented by 2D-graphing tool.

The solution of this system is represented by the point, in which both lines intercepts each other. Let be the following two linear functions:

[tex]y = 3\cdot x + 2[/tex] (1)

[tex]y = \frac{1}{2}\cdot x - 6[/tex] (2)

The result from graphic tool is presented below and the point of intersection is approximately [tex](x,y) = (2.286, -4.857)[/tex].

“The length of a rectangle is two feet greater than twice its width. If the perimeter is 25 feet, find the width.” Which of the following translations is correct?

Answers

Answer:

b is the answer

Step-by-step explanation:

This table shows the relationship of the total number of pieces of fruit to the number of bananas.
Why is StartFraction 6 Over 5 EndFraction not equivalent to Three-halves?

Answers

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is [tex]\dfrac{6}{5}[/tex] not equivalent to [tex]\dfrac{3}{2}[/tex].

Solution:

If a, b, c are real numbers, then

[tex]\dfrac{a}{b}=\dfrac{a\times c}{b\times c}[/tex]

The given fraction is [tex]\dfrac{3}{2}[/tex]. It can be written as:

[tex]\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}[/tex]

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be [tex]\dfrac{6}{4}[/tex], not [tex]\dfrac{6}{5}[/tex].

Therefore, the correct option is A.

The circles are concentric. True False

Answers

Answer:

true, to my knowledge concentric circles are just circles that all have one main center.

Step-by-step explanation:

TRUE bc they have only one main centers like the person above said !

What is the slope of the line shown below?
10
(8,8)
O A. -3
LO
(5,5)
O B. -1
O c. 1
-5
5
10
15
5
O D. 3
-10 1

Answers

Answer:

It's C. 1

Step-by-step explanation:

Use slope intercept form.

What could be the coefficient of x once the variable term is isolated on one side of the equation? Check all that apply.
3x - 6(5x + 3) = 9x + 6

1. Distribute: 3x - 30x - 18 = 9x + 6

2. Combine like terms: -27x - 18 = 9x + 6
–36
–27
–24
24
27
36

Answers

Answer:

-36,36

Step-by-step explanation:

3x - 6(5x + 3) = 9x + 6

 Distribute:

3x - 30x - 18 = 9x + 6

Combine like terms:

-27x - 18 = 9x + 6

There are two possible ways to isolate x

On the left

Subtract 9x from each side

-27x - 18 -9x = 9x-9x + 6

-36x -18 = 6

On the right

Add 27x from each side

-27x - 18 +27x = 9x+27x + 6

-18 =36x+ 6


For what value of k are the roots of the quadratic
equation kx²+ 4x+ 1=0 equals and reals."

Answers

Answer:

k ≥ 4

Step-by-step explanation:

A Quadratic equation is given to us and we need to find out the value of k for which the equation has real roots. The given equation is ,

[tex]\rm\implies kx^2 +4x +1=0[/tex]

With respect to Standard form of Quadratic equation :-

[tex]\rm\implies ax^+bx+c=0[/tex]

For real roots ,

[tex]\rm\implies Discriminant = b^2-4ac\geq 0[/tex]

Substitute the respective values ,

[tex]\rm\implies b^2-4ac \geq 0\\[/tex]

[tex]\rm\implies 4^2 - 4(k)(1) \geq 0 \\[/tex]

Simplify the LHS ,

[tex]\rm\implies 16 - 4k \geq 0 \\[/tex]

Add 4k both sides ,

[tex]\rm\implies 4k\geq 16 [/tex]

Divide both sides by 4 ,

[tex]\rm\implies \boxed{\blue{\rm k \geq 4}}[/tex]

The median house price in Waterloo Region increased by 3.6% from Jan 1, 2018 to Jan 1, 2019. A home
was purchased in Waterloo Region on April 1, 2019 for $600,000.

(a) Assume this trend continues, write an exponential equation that models the Resale Value of this
home over time.

(b) At this rate, determine the date of the resale price of the home would reach $1 million (Show your
work to accurate to the nearest month)

(c) Use your exponential equation to determine the expected resale value of the home on April 1, 2020.

Answers

Answer:

The right answer is:

(a) [tex]P(t) = P_o \ e^{0.03536t}[/tex]

(b) [tex]t = 14 \ years \ 6 \ months[/tex]

(c) [tex]P(t) = =621,595.6[/tex] ($)

Step-by-step explanation:

Given:

House price increment rate,

= 3.6% annually

(a)

Let the exponential equation will be:

⇒ [tex]P(t) = P_o e^{Kt}[/tex]

here,

t = 0

P = P₀

t = 1 yr

then,

[tex]P(1) = P_o +3.6 \ persent \ P_o[/tex]

        [tex]=1.036 \ P_o[/tex]

now,

⇒ [tex]1.036 P_o = P_o \ e^{K.1}[/tex]

 [tex]ln(1.036) = K[/tex]

            [tex]K = 0.03536[/tex]

Thus, the exponential equation will be "[tex]P(t) = P_o \ e^{0.03536t}[/tex]".

(b)

We know,

[tex]P_o = 600,000[/tex] ($)

[tex]P(t) = 10,00,000[/tex] ($)

∵ [tex]P(t) = P_o \ e^{0.03536t}[/tex]

   [tex]1000000=600000 \ e^{0.03536 t}[/tex]

              [tex]\frac{5}{3}= e^{0.03536 t}[/tex]

        [tex]ln(\frac{5}{3} )=0.03536 t[/tex]

       [tex]\frac{\frac{0.5}{0825} }{0.03536} =t[/tex]

                [tex]t = 14.45 \ years[/tex]

or,

                [tex]t = 14 \ years \ 6 \ months[/tex]

(c)

[tex]P_o=600,000[/tex] ($)

[tex]t = 1 year[/tex]

Now,

⇒ [tex]P(t) = P_o \ e^{0.03536 t}[/tex]

           [tex]=600000 \ e^{ 0.03536\times 1}[/tex]

           [tex]=621,595.6[/tex] ($)

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