The population of a city this year is 200,000. The population is expected to increase by 2.5% per year over the next 10 years. Which exponential equation models this situation?​

Answers

Answer 1

Answer:

[tex]A = 200,000(1+.025) ^{t}[/tex]

[tex]A = 200,000(1+.025) ^{10}[/tex]

Step-by-step explanation:


Related Questions

Which represents can be used to determine the slope of the linear function graphed below

Answers

I don’t see no photo

The programming code below shows an ''if-else'' function. After the code is run, the variable ''y'' is equal to _______.

int x, y;
x = 0; y = 0;
if (x < 0) { y = y + 1; }
else { y = y + 2; }

Answers

Answer:

2

Step-by-step explanation:

Since x=0, and it's not <0, the "else statement" is executed making y=0+2

There is a category called "computer and technology", maybe you can get better answers if you select that instead of "mathematics"

If f (x)=3x-2 and g(x) =6-4 find f(x) + g(x)

Answers

Answer:

3x

Step-by-step explanation:

I need help pls!! 20 points I need it!!

Answers

Answer: About 6.71 units

Step-by-step explanation:

You use the distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex].

Assign the the two points to the variables:

[tex](x_{1}, y_{1}) = (1, 3)\\(x_{2}, y_{2}) = (4, -3)[/tex]

Substitute them in the formula:

[tex]\sqrt{(4-1)^{2}+(-3-3)^{2}}[/tex]

And solve it:

[tex]\sqrt{(4-1)^{2}+(-3-3)^{2}}\\=\sqrt{(3)^{2}+(-6)^{2}}\\=\sqrt{9+36}\\=\sqrt{45}\\=6.71[/tex]

Answer:

I got the answer as 6.70 .here's how

Step-by-step explanation:

c= ( 1,3)

d=(4,-3)

Now , formula of distance

√(x2 - x1)^2 +(y2 - y1)^2

or, √(4-1)^2+(-3-3)^2

or, √(3)^2+(-6)^2

or,√9+36

or√45

√45 = 6.70 units approx

please help me out with this.

Answers

Answer:

B. -infinity < x < infinity

Step-by-step explanation:

Since it's linear and kind of horizontal, it stretches to infinity on both sides (indicated by arrows on both sides of the line.

what is the solution for 2y=x+2
x-3y=-5

Answers

Answer:

x = 4

y = 3

Step-by-step explanation:

Given equations :-

2y = x + 2 x - 3y = -5

Second equation can be written as ,

x - 3y = -5 -3y = -x - 5

Adding them :-

-3y + 2y = 2 -5 -y = -3 y = 3

Put this in (ii) :-

x = 3y - 5 x = 3*3 - 5 x = 9 -5X = 4
Answer:
X=4
Y=3
You welcome

PLEASE ANSWER QUICKLY Find the distance between points (4, 2) and (7, 2) on the coordinate
plane.

Answers

Answer:

3 units

Step-by-step explanation:

(4,2) (7,2)

Subtract 4 from 7 = 3

Subtract 2 from 2 = 0

This means that (7,2) is 3 units up from (4,2).

:) ur welcome

Answer:

Step-by-step explanation:

D=√(x2-x1)²+(y2-y1)²

D=√(7-4)²+(2-2)²

D=√(3)²+0

D=3²*½

D=3

Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?

Answers

Answer:

Joel wants to find the quotient of a number and 4, minus thirteen

Step-by-step explanation:

Given the expression :

n/4 - 13

The options B and D cannot be possible answers as they are referring to products and sums which is not a part of the operation used in the expression.

However, the most appropriate option would be A because,

13 is subtracted from the quotient of n/4 which is what the first option expresses.

What is meant by option C however is :

13 - n/4

Hence. Option A is the correct choice.

Answer:

Joel wants to find the quotient of a number and 4, minus thirteen

Step-by-step explanation:

What is the GCF of 1683t, 4085, and 68t??
O 4
O 483t
O 8
O 8837

Answers

Answer:I’m pretty sure ( not 100% thou ) the awnser would be A) 4

If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75°?
A. 105
B. 75
C. 180°
O
D. 90°
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

180 - 75 = 105

The answer is A
Consecutive interior angles means that they supplementary to each other. Which means they are parallel to each other and also add up to 180

What is the area of a parallelogram if the length is 4+ x and it's height is x+3

Answers

Answer:

[tex]x^{2}[/tex] + 7x + 12

Step-by-step explanation:

The area of a parallelogram is A = bh, where the base is the length.

To solve this, you have to multiply 4 + x and x + 3.

(4 + x)(x + 3)

If you factor this more, it should be equal to:

[tex]x^{2}[/tex] + 3x + 4x + 12.

This simplified is equal to:

[tex]x^{2}[/tex] + 7x + 12.

Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ θ ≤ 2π. Enter your answers as a comma-separated list of ordered pairs.) r = 1 − sin(θ) horizontal tangent

Answers

The tangent to the curve at a point P (x, y) has slope dy/dx at that point. By the chain rule,

dy/dx = (dy/dθ) / (dx/dθ)

We're in polar coordinates, so

y (θ) = r (θ) sin(θ)   ==>   dy/dθ = dr/dθ sin(θ) + r (θ) cos(θ)

x (θ) = r (θ) cos(θ)   ==>   dx/dθ = dr/dθ cos(θ) - r (θ) sin(θ)

We're given r (θ) = 1 - sin(θ), so that

dr/dθ = -cos(θ)

Then the slope of the tangent to the curve at P is

dy/dx = (dr/dθ sin(θ) + r (θ) cos(θ)) / (dr/dθ cos(θ) - r (θ) sin(θ))

dy/dx = (-cos(θ) sin(θ) + (1 - sin(θ)) cos(θ)) / (-cos²(θ) - (1 - sin(θ)) sin(θ))

dy/dx = - (cos(θ) - sin(2θ)) / (sin(θ) + cos(2θ))

The tangent is horizontal if dy/dx = 0 (or when the numerator vanishes):

cos(θ) - sin(2θ) = 0

cos(θ) - 2 sin(θ) cos(θ) = 0

cos(θ) (1 - 2 sin(θ)) = 0

cos(θ) = 0   or   1 - 2 sin(θ) = 0

cos(θ) = 0   or   sin(θ) = 1/2

[θ = π/2 + 2   or   θ = 3π/2 + 2]   or   [θ = π/6 + 2   or   θ = 5π/6 + 2]

where n is any integer.

In the interval 0 ≤ θ ≤ 2π, we get solutions of θ = π/6, θ = 5π/6, and θ = 3π/2. (We omit π/2 because the denominator is zero at that point and makes dy/dx undefined.) So the points where the tangent is horizontal are themselves (√3/4, 1/4), (-√3/4, 1/4), and (0, -2), respectively.

The tangent is vertical if 1/(dy/dx) = 0 (or when the denominator vanishes):

sin(θ) + cos(2θ) = 0

sin(θ) + (1 - 2 sin²(θ)) = 0

2 sin²(θ) - sin(θ) - 1 = 0

(2 sin(θ) + 1) (sin(θ) - 1) = 0

2 sin(θ) + 1 = 0   or   sin(θ) - 1 = 0

sin(θ) = -1/2   or   sin(θ) = 1

[θ = 7π/6 + 2   or   θ = 11π/6 + 2]   or   [θ = π/2 + 2]

Then for 0 ≤ θ ≤ 2π, the tangent will be vertical for θ = 7π/6 and θ = 11π/6, which correspond respectively to the points (-3√3/4, -3/4) and (3√3/4, -3/4). (Again, we omit π/2 because this makes dy/dx non-existent.)

Use the completing the square to solve x^2+6x=12.

Answers

Answer:

x= -3 ± [tex]\sqrt{21}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex]+6x=12

We add 9 [[tex](6/2)^{2}[/tex]] to both sides to complete the square as [tex]x^{2}[/tex]+6x+9 = [tex](x+3)^{2}[/tex].

[tex](x+3)^{2}[/tex]=21

Now we take the square root of both sides:

x+3=±[tex]\sqrt{21}[/tex]

x= -3 ± [tex]\sqrt{21}[/tex]

Answer:

x = -3 ± [tex]\sqrt{21}[/tex]

Step-by-step explanation:

[tex]x^2+6x=12[/tex]

[tex](\frac{b}{2} )^{2}[/tex] = 9

[tex]x^2+6x + 9 =12 + 9[/tex]

[tex](x+3)^{2} =21[/tex]

x + 3 = [tex]\sqrt{21}[/tex]

x = -3 ± [tex]\sqrt{21}[/tex]

What is the value of a if the point ( a, -1) is on the line 4x -3y = 15?

Answers

Answer:

a = 3

Step-by-step explanation:

(a, -1) is (x, y)

Plug in the value of y into the given equation to solve for a (x):

4x - 3(-1) = 15

4x + 3 = 15

4x = 12

x = 3

(x, y) is (a, -1) so (a, -1) = (3, -1)

Answer: a=3

Step-by-step explanation:

We are given a point and an equation. To see what "a" is, we can plug in the coordinate into the equation and solve for x.

4a-3(-1)=15       [multiply]

4a+3=15           [subtract both sides by 3]

4a=12               [divide both sides by 4]

a=3

Now, we know that a=3.

Evaluate the expression below for m=2/3 and n= 1/3

Answers

m=2/3 and ;=1/3
Using formulae,
mn-nm,
2/3*1/3-1/3*2/3.
2/3-1/3,
6-3/3, 3/3=0.

Answer:

Evaluación de expresiones y polinomios

Purplemath

"Evaluación" significa principalmente "simplificar una expresión a un solo valor numérico". A veces se le dará una expresión numérica, donde todo lo que tiene que hacer es simplificar; esa es más una cuestión de orden de operaciones. En esta lección, me concentraré en el aspecto de la evaluación de "conectar y tragar": introducir valores para las variables y "avanzar" hasta llegar a la respuesta simplificada.

(Por cierto, sí, "plug-n-chug" es una terminología bastante estándar. No es un término "técnico", por lo que probablemente no lo verá en su libro de texto, pero seguramente lo escuchará de otros estudiantes. , y quizás también su instructor.)

MathHelp.com

Evaluar expresiones en MathHelp.com

Evaluar expresiones

Por lo general, la única parte difícil de la evaluación es hacer un seguimiento de los signos "menos". Le recomiendo encarecidamente que utilice los paréntesis libremente, especialmente cuando recién está comenzando.

Evalúe a2b para a = –2, b = 3, c = –4 y d = 4.

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Para encontrar mi respuesta, simplemente conecto los valores dados, teniendo cuidado de usar paréntesis, particularmente alrededor de los signos "menos". Especialmente cuando recién estoy comenzando, dibujar los paréntesis primero puede ser útil:

a2 b

() 2 ()

(–2) 2 (3)

(4) (3)

12

Observe cómo el uso de paréntesis me ayudó a realizar un seguimiento del signo "menos" en el valor de a. Esto era importante, porque de otro modo podría haber elevado al cuadrado solo el 2, terminando con –4, lo que habría estado mal.

Por cierto, resultó que no necesitábamos los valores de las variables c y d. Cuando se le da un gran conjunto de expresiones para evaluar, debe esperar que a menudo haya una u otra de las variables que no se incluirán en ningún ejercicio en particular del conjunto.

Evalúe a - cd para a = –2, b = 3, c = –4 y d = 4.

En este ejercicio, me dieron información adicional. No hay una b en la expresión que quieren que evalúe, por lo que puedo ignorar este valor en mi trabajo:

(–2) - (–4) (4)

–2 - (–16)

–2 + 16

16 - 2

14

Step-by-step explanation:

hola

URGENT GIVING BRAINLIEST

Answers

This is what I got on my calculator
The answer is 3 which is option A

A gym at a school is being painted. The four walls and the ceiling are to be painted (but not the floor). The gym measures 100 ft x 65 ft x 25 ft. A 5 gallon can of paint costs $151.99 and covers 1750 ft. How many cans should be purchased? What will it cost to paint two coats for this gym (include HST)? ​

Answers

9514 1404 393

Answer:

17 cans$2,971.40

Step-by-step explanation:

We assume ...

the 25' dimension is the wall heightthe HST rate is 15% (the paint is not purchased in Ontario)only full cans of paint can be purchased

The wall area is the wall height times the perimeter of the room.

  wall area = (25')(2(100' +65')) = 8250 ft²

The ceiling area is the product of length and width.

  ceiling area = (100')(65') = 6500 ft²

Then the area to be painted with each coat is ...

  painted area = wall area + ceiling area = (8250 +6500) ft² = 14750 ft²

Then two coats of paint will require sufficient paint to cover ...

  (2 coats)×(14750 ft²/coat) = 29,500 ft²

__

If each can of paint covers 1750 ft², the number of cans required is ...

  (29,500 ft²)/(1750 ft²/can) = 16.86 cans

  17 cans must be purchased

__

The cost of 17 cans of paint with sales tax will be ...

  (17 cans)($151.99/can)(1 +15%) = $2971.40

Divide the following quantities in the following ratios £100 1:3

Answers

The answer is 25:75….

(7 + 10i)+(4-10i)-(7-5i)

Answers

Answer:

4 + 5i

Step-by-step explanation:

To calculate this you have to combine the like terms until they cannot be combined any further:

7 + 10i + 4 - 10i - (7 - 5i)

11 + 0i - 7 - 5i

7 & 4 are liked terms so add them together + subtract 10i and 10i

4 + 5i  <--- Final answer

Hope this helps!

Answer:

4 + 5i

Step-by-step explanation:

(7 + 10i) + (4 - 10i) - (7 - 5i)

7 + 10i + 4 - 10i - (7 - 5i)

11 - 7 + 5i

4 + 51

The following figure appears in a math workbook. Students are asked to reflect the polygon across the line, then rotate it 90 degrees clockwise . Which figure shows the result of the two transformations?

Answers

Answer:

C

Step-by-step explanation:

tracing paper is your friend

Give two examples of subtraction of fractions ( between 0-1) with different denominators.
SHOW ALL STEPS

Answers

Answer:

3/4-1/2=1/4 4/5-3/15

Step-by-step explanation:

3/4-1/2

=3/4-2/4

=1/4

4/5-3/15

=4/5-1/5

=3/5

Please help!!!!!
I’m using Plato

Answers

Answer:

the image is hard to read... this is the best that I can see

Step-by-step explanation:

[tex]\sqrt[3]{x^{3} } = x^{3/3} = x\\\sqrt[3]{x^{5} } = x^{5/3} \\\\\sqrt[5]{x } = x^{1/5} \\\\\sqrt[2]{x ^3 } = x^{3/2} \\[/tex]

~~~~~~~~~~~~~~~~~~~

I need help! please!!​

Answers

Answer:

r=8°.answer

Step-by-step explanation:

95°=6r°+47{ vertically opposite angle are equal}95°-47°=6r°6r°=48°r=48/6r=8°

hope it helps.stay safe healthy and happy.

Answer:

8

Step-by-step explanation:

95°=6r°+47(being vertically opposite angle)

or,48°=6r

or,48=/6=r°

or,r=8°

jenna is playing an online trivia game. she has 50 points and earns 2 points for each correct answer. she will advance to the next amount if her score is over 68 points. which inequality can jenna use to find how many more questions she must answer correctly to advance to the next round?

Answers

Answer:2x + 50 > 68

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

because is you skip count on two you will count on to 68 so that is why the answer is 7.

Need help please.. :(

Answers

Answer:

option d is correct one in which value of T lies

A rectangle has a height of 4 and a width of x2 + 3x + 2.
whats the area of the entire rectangle?

Answers

Answer:

4x^2 + 12x + 8

Step-by-step explanation:

Won't go into it since some wonderful moderator will probably delete this because they feel like it.

But the answer is correct.

26.3 times 1.2 please do with explanation worth 15 points ​

Answers

Answer - It’s 31.56

Step-by-step explanation: You just do regular multiplication and then add  the decimal point

what Is an equation of the line that passes through points (-12 -8) (-17 -16) ​

Answers

First we determine the slope of the equation.
m=y2-y1/x2-x1
=-16-(-8)/-17-(-12)
=-16+8/-17+12
=-8/-5
=8/5

Then we find the y-intercept or b of the equation.
(-12,-8). (-17,-16)
y=mx+b. y=mx+b
-8= 8/5*-12+b. -16=8/5*-17+b
-8= -96/5+b. -16=-136/5+b
b= -96/5+8. b=-136/5+16
b= -56/8. b=-56/5
b=-7

y=8/5x-7. y=8/5x-56/5

24. What are the intercepts of -3x + 5y - 2z = 60?
(-20, 0, 0), (0, 12,0), (0, 0, -30)

(-60, 0, 0), (0, 60, 0), (0, 0, -60)
(-180, 0, 0), (0, 300, 0), (0, 0, -120)
(-3, 0, 0), (0,5, 0), (0, 0, -2)

Answers

I choose (-20,0,0) , (0,12,0), ( 0,0,-30)

Write an equation of the line that passes through the point (4, –5) with slope 2.
A. y−4=−2(x+5)
B. y+5=−2(x−4)
C. y+5=2(x−4)
D. y−4=2(x+5)

Answers

It’s C, y + 5 = 2(x - 4).

In y = mx + b form:
y = 2x - 13
Other Questions
XYZ Corporation manufactures air conditioners and has the capacity to manufacture and sell 80,000 units each year. It is currently only manufacturing and selling 60,000 units. The following per unit numbers relate to annual operations at 60,000 units: Per Unit Selling price $ 125 Manufacturing costs: Variable $ 25 Fixed $ 40 Selling and administrative costs: Variable $ 10 Fixed $ 15 A customer would like to purchase 3,000 air conditioners from XYZ but only if they can get them for $75 each. Variable selling and administrative costs on this special order will drop down to $2 per unit. This special order will not affect the 60,000 regular sales and it will not affect the total fixed costs. The annual financial advantage (disadvantage) for the company as a result of accepting this special order from this customer should be: Determine if the expression 2 is apolynomial or not. If it is a polynomial,state the type and degree of thepolynomial. The forecasted sales pertain to Arrow Corporation: Month Sales September $400,000 October 320,000 Finished Goods Inventory (August 31): 28,000 Arrow Corporation has a selling price of $5 on all units and expects to maintain ending inventories equal to 25 percent of the next month's sales. How many units does Arrow expect to produce in September Is a plant with a ribosome,GingerBeansDambala Determine how much interest you would earn on the following investment:$190,000 invested at a 6.9% interest rate for 9 months. According to the resource-based view, a firm that has resources that are valuable and rare but not costly to imitate will at best be able to achieve __________ in relation to its industry peers. 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