b. Sonya says that her profit is increasing 4 times as
fast as Kirsten's profit. Do you agree? Explain.
Lesson 8 Compare Functions

Answer:

sss axiom

Step-by-step explanation:

Answer:

wa pow

Step-by-step explanation:

Answer:

I don't really understand the question? could you explain please :)

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

X×5=0.75

X=(6, 5)

x=1.2

Answer:

no

Step-by-step explanation:

5+x=8+0.75x

x=12

Answer:

camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies

Answer: No. The two frames does not have the same ratio of white shells to orange shells.

Step-by-step explanation:

Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:

9/15 = 3/5

The ratio is 3:5

Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:

= 8/10 = 4/5

The ratio will be 4:5.

Therefore, the two frames does not have the same ratio of white shells to orange shells.

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

=================================================

Work Shown:

L = 165000 = loan amount or amount financed

r = 0.06725  = annual interest rate in decimal form

i = r/12 = 0.06725/12 = 0.005604167

i = 0.005604167 = approximate monthly interest rate in decimal form

n = number of months = 30*12 = 360 months

P = unknown monthly payment

--------------

Apply the monthly payment formula

P = (L*i)/( 1-(1+i)^(-n) )

P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))

P = 1067.44636311118

P = 1067.45

Answer:

3/5

Step-by-step explanation:

ir would be 6/10 but simplified it would be 3/5

Answer:

12 because 12/15 =.8 so does 8/10

Answer:

w=12

Step-by-step explanation:

8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.

Brainliest are always appreciated :)

Answer:

Let

Tinky's age=x

Laa's age=x+2

According to the question

[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]

[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]

Answer:

3

Step-by-step explanation:

[tex]\frac{15}{r} =\frac{15}{5}=3[/tex]

Answer:

[tex]x_1=3+2\sqrt{6}[/tex]

[tex]x_2=3-2\sqrt{6}[/tex]

Step-by-step explanation

[tex]\rule{100mm}{0.5mm}[/tex]

                           [tex]x^2-6x=15[/tex]

[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]

                   [tex]x^2-6x+3^2=15+3^2[/tex]

                     [tex]x^2-6x+9=15+9[/tex]

                          [tex](x-3)^2=24[/tex]

                       [tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]

                              [tex]x-3=\pm2\sqrt{6}[/tex]

                                  [tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]

                                  [tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]                                

[tex]\rule {100mm}{0.5mm}[/tex]

Answer: 4.5

Hope this helps :)

Answer:

no solution

Step-by-step explanation:

Let's first try to solve this.

Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:

-23 = 23

Well... this is a false statement: -23 does not equal 23.

Thus, this as no solution.

Answer:

No solutions found

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

46*x - 23 - (46*x + 23) = 0

Equations that are never true

Solve : -46  =  0

This equation has no solution.

A non-zero constant never equals zero.

Answer:

$5

Step-by-step explanation:

Answer:

[tex]d=4\sqrt{5}[/tex]

Step-by-step explanation:

Write down both endpoint coordinate points:

[tex](-5,-3)(-1,5)[/tex]

Use the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]

Insert values:

[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]

Simplify parentheses:

[tex]d=\sqrt{(4)^2+(8)^2}[/tex]

Simplify exponents:

[tex]d=\sqrt{16+64}[/tex]

Add:

[tex]d=\sqrt{80}[/tex]

Find the square root. Find multiples of 80 that are perfect squares:

[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]

[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]

:Done

Final Answer: [tex](x + 7)(x + 8)[/tex]

Steps/Reasons/Explanation:

Question/Given: Factor the polynomials [tex]x^{2} + 15x + 56[/tex]

Step 1: Ask: Which two numbers add up to [tex]15[/tex] and multiply to [tex]56[/tex]?

[tex]7[/tex] and [tex]8[/tex]

Step 2: Rewrite the expression using Step 1.

[tex](x + 7)(x + 8)[/tex]

~I hope I helped you :)~

Answer:

Yes, Nadhii and Dylan agree

Step-by-step explanation:

You created a new playlist, and 100 of your friends listened to it and shared if they liked the new playlist or not. Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25. Dylan said that for every three people who liked the playlist, one person did not.

Do Nadhii and Dylan agree? Prove your answer using the values of the ratios.

Total number of friends who listened = 100

Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25.

Nadhii

Number of people who liked the playlist : Number of people who did not like the playlist

= 75 : 25

= 75 / 25

= 3/1

= 3 : 1

Dylan said that three people who liked the playlist, one person did not.

Number of people who liked the playlist : Number of people who did not like the playlist

= 3 : 1

Yes, Nadhii and Dylan agree

Answer:

Yes, all equilateral triangles are acute.

Step-by-step explanation:

yea

hope this helps :)))

Answer:

88

Step-by-step explanation:

all the angles added up must equal 360 degrees add x and v and subtract with 360 and divide that by 2

Answer:

y < 1/2x -5

Step-by-step explanation:

1/2 is the slope

-5 is the y intercept

Answer:

24- 7 = 17

Step-by-step explanation:

Answer:

$850

Step-by-step explanation:

35 x 20 = 700 + 150 = $850 or 850

$20 per person and 35 people = $700 + the $150 fee = $850