A city has a population of 340, 000 people. Suppose that each year the population grows by 3.75%. What will the population be after 10 years ? Use the calculator provided and round your answer to the nearest whole number.

Answer:

g(x) = -(0.5)^(x + 1) + 3

Step-by-step explanation:

First, let's define the transformations used in this case:

Horizontal shift (horizontal translation):

If we have a function f(x), a horizontal translation can be written as:

g(x) = f(x - N)

if N is positive, the translation is to the right

if N is negative, the translation s to the left.

Vertical shift (vertical translation):

If we have a function f(x), a vertical translation can be written as:

g(x) = f(x) + N

if N is positive, the translation is upwards

if N is negative, the translation is downwards.

Reflection over the x-axis.

If we have a function f(x), a reflection over the x-axis is written as:

g(x) = -f(x).

Now we have the function:

f(x) = (0.5)^x

Let's apply the transformations:

"shifted to the left 1 unit"

g(x) = f(x - (-1) ) = f(x + 1)

"shifted down 3 unts"

g(x) = f(x + 1) - 3

"reflected over the x-axis"

g(x) = -(  f(x + 1) - 3 ) = -f(x + 1) + 3

now we can replace the function equation here and get:

g(x) = -f(x + 1) + 3 = -(0.5)^(x + 1) + 3

Answer:

??????

Step-by-step explanation:

What that does not make sence at all

Answer:

I think it's 160 square inches. Try L x W x H (length multiplied by width multiplied by height). So that would mean 4 x 5 = 20 x 8 = 160,

hope this helps!

Answer:

Step-by-step explanation:

Answer:

∠ x , ∠ z , ∠ y

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

The first bottle holds 10 ounces of water.

Step-by-step explanation:

The bottle holds z ounces.

The second bottle holds 16 ounces, which is 8/5 times the first, which is z.

How much water does the first bottle holds?

[tex]\frac{8z}{5} = 16[/tex]

[tex]8z = 16*5[/tex]

[tex]8z = 80[/tex]

[tex]z = \frac{80}{8}[/tex]

[tex]z = 10[/tex]

The first bottle holds 10 ounces of water.

Answer:

The measure of the obtuse angle marked UVW is 108

Step-by-step explanation:

Here, we want to get the measure of the angle marked UVW

To get this, we refer to the given diagram

From the diagram;

UVW = UVX + XVW

UVW = 68 + 40

UVW = 108 degrees

Answer:

69

Step-by-step explanation:

Answer:

69 m²

Step-by-step explanation:

The figure is composed of 2 right triangles

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

A of triangle on left is

A = [tex]\frac{1}{2}[/tex] × 9 × 10 = 45 m²

A of triangle on right is

A = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 m²

Total area = 45 + 24 = 69 m²

Answer: x=50/3

Step-by-step explanation:

Answer:

16.6 ( the 6 is repeated) or 16 and 2/3

Step-by-step explanation:

Take the 7 away which equals 50 and then divide by 3..

Answer:

I believe its 17, this is a 90 degree angle, so 90-73=17

Step-by-step explanation:

Answer:

12=4 3          4=2 2

Step-by-step explanation:

.............Option B)

Answer:

45000 m

Step-by-step explanation:

Speed = distance / time

10 km/h = distance / 4.5 hours

distance = 10 x 4.5 = 45 km

Kilometre needs to be converted to metres

Ikm = 1000m

45 x 1000 = 45,000m

Answer:

x = 3

Step-by-step explanation:

5x - 2 = 13  (write the equation)

5x - 2 + 2 = 13 + 2  (isolate the variable)

5x = 15

5x/5 = 15/5  (simplify)

x = 3

Answer:  x=3

Step-by-step explanation:

13=5x-2

13+2=5x

15=5x

x=15/5

x=3

Answer:

b

Step-by-step explanation:

Answer:

I think it is J

Step-by-step explanation:

the x-2.... so on x axis on 2....and +5 is y intercept

3x-25=14

First, you'll add the 25 to the other side of the equation because its negative. 25+14 =39. then you'll divide these by 3. (because it says 3 times what curtis spent.)

39÷3=13. so the answer is 13. curtis spent 13 dollars shopping.

Answer:

10 * 5 + 4^2 + (5 + 30 ÷ 10)=74

Answer:

74

Step-by-step explanation:

Answer:

please provide the image! would love to help.

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

I took the test

Answer:

A

Step-by-step explanation:

Trust

The correct equation is,

⇒ y = 12,400 - 820r

And, Amount for 7 years is, $6,660

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Here, your truck has an initial value of $12,400 depreciates $820 per year.

Let number of years = r

Hence, We get the correct equation is,.

⇒ y = 12,400 - 820r

So, For r = 7 years;

⇒ y = 12400 - 820 x 7

⇒ y = 12400 - 5740

⇒ y = $6,660

Thus, The correct equation is,

⇒ y = 12,400 - 820r

And, Amount for 7 years is, $6,660

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ5

Answer:

10

Step-by-step explanation:

2--8

2+8

10

8 below zero is -8

Pregunta completa:

Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto. Los azulejos son cuadrados de 30 cm de lado. ¿Cuants, cajas tendra que comprar si en una caja hay 25 azulejos? Con procedimiento.

Respuesta:

160 tejas

7 cajas

Explicación paso a paso:

Dimensión de la pared = 6 m por 2,4 m

Área de la pared = 6 m * 2,4 m

Área de la pared = 14,4 m²

Longitud lateral, s de teja cuadrada = 30 cm = 0,3 m

Área de la loseta cuadrada = s² = 0.3² = 0.09m²

Número de baldosas cuadradas necesarias:

14,4 m² ÷ 0,09 m²

= 160 fichas cuadradas

Si hay 25 fichas en una caja;

Número de cajas a comprar:

160/25

= 6,4 ≈ 7 cajas

Answer:

2

Step-by-step explanation:

Diagonals of a parallelogram bisects each other.

Therefore,

4x = 8

x = 8/4

x = 2

Or

5x = 3x + 4

5x - 3x = 4

2x = 4

x = 4/2

x = 2

Answer:

10.7703296142

Step-by-step explanation:

Using "Desmos" a graphing chart and the hypotenuse formula, i have found the distance diagonally from point (4,7) and (2,2)