Solve for x. Show all your work:
Solve the equation by typing out the correct steps of the equation.
2x + 3 + 4x = 6x + 3
x =

pls i need to know before 1

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

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

The system of equations required to determine the amount of drink A and B made are :

Learn more : https://brainly.com/question/20379472?referrer=searchResults

Answer:

9 1/3

Step-by-step explanation:

this is what i think and i hope im right

Answer:

11 1/5

Step-by-step explanation:

You can do 56 divided by 5 to answer this.

56 / 5 = 11 and 1/5

11 1/5

Answer:

Yes

Step-by-step explanation:

Answer:

2mx³+3x−5

Step-by-step explanation:

Answer:

12/20

Step-by-step explanation:

Answer:

g(-4)= -52

Step-by-step explanation:

g(x) = 8x -20

Substitute -4 for x

g(-4) = 8(-4) -20

g(-4) = -52

Answer:

12/40

Step-by-step explanation:

match the denominators so have 6/30 be multiplies with 40/40 and 12/40 multiplied with 30/30

6/30(40/40) = 240/1200

12/40(30/30) = 360/1200

As we can see, 360/1200 is bigger than 240/1200, therefore 12/40 is bigger

Answer: [tex]\frac{12}{40}[/tex]

Step-by-step explanation:

Hey there!

-If we were to simplify [tex]\frac{6}{30}[/tex] we would be able to simplify it to [tex]\frac{1}{5}[/tex].

-Multiply [tex]\frac{6}{30}[/tex] by 100 and you get 20 .

-Now compare that with [tex]\frac{3}{10}[/tex] which is [tex]\frac{12}{40}[/tex] simplified.

-Multiply [tex]\frac{12}{40}[/tex] by 100 and you get 30.

-We can now tell that [tex]\frac{12}{40}[/tex] is greater than [tex]\frac{6}{30}[/tex].

~I hope I helped :)~

Answer:

$1.25

Step-by-step explanation:

step 1:

2.32 x 32

answer:

74.24

step 2:

114.24 - 74.24

answer:

40

step 3:

40 divided by 32

FINAL answer:

40 divided by 32 = x

x =

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

the original cost was $1.25! :D

Answer:

-5.1 , -14/3, -4

Step-by-step explanation:

In the negative side of the numberline -5 is lesser than -14/3 and -4.

Also -14/3 is aproximatedly -4. 6. so its less than -4

Answer:

1. -5.1

2. - 14/3

3. -4

Explanation:

- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.

Hope this helps!

I hope I explained well!

Answer:

Communicative property is the third one second one is assositave  and first one is distributive

Step-by-step explanation:

Answer

The following is a picture of the number with a point on -2

Answer:

D

Step-by-step explanation:

D is also equivalent

Answer:

The value of b is 9.5

Step-by-step explanation:

If a system of equations has infinitely  many solutions, that means the two equations are equal

If the system of equations ax + by = c, dx + ey = f, then

Let us use this fact to solve the question

∵ 3x - y = 19 ⇒ (1)

∵ 1.5x - 0.5 y = b ⇒ (2)

∵ This system of equations has infinitely many solutions

∴ The coefficients of x must be equal

∴ The coefficients of y must be equal

∴ The numerical terms must be equal

→ Multiply equation (2) by 2 to make the coefficients of x and y on it

  equal the coefficients of x and y in equation (1)

∵ 2(1.5x) - 2(0.5y) = 2(b)

∴ 3x - y = 2b ⇒ (3)

→ By comparing equations (1) and (3), 19 must equal 2b

∵ 2b = 19

→ Divide both sides by 2

∴ b = 9.5

∴ The value of b is 9.5

Answer: Hope you have a good day or night!

Step-by-step explanation:

Answer:

48 in^2

Step-by-step explanation:

To find the area of a triangle is (1/2)*base*height, so (1/2)*4in*24in = 2in*24in = 48 in^2.

Answer:

48 in2

Step-by-step explanation:

when finding area we use the equation A= 1/2bh

b meaning base and h meaning height

so for this we would use A= 1/2(24)(4)

multiply them both to get A=1/2(96)

and then take half of 96 to get 48

so the answer is 48in 2

Answer: 17%

Step-by-step explanation:

A shop keeper purchased 200 bulbs for Rs.10 each. Therefore, the cost price:

= 200 × 10

= 2000

Since 5 bulbs were fused and had to

be thrown away and the remaining were sold at Rs.12 each. Therefore, selling price would be:

= 195 × 12

= 2340

Gain would be:

= 2340 - 2000

= 340

Gain percent would be:

= Gain / Cost price × 100

= 340/2000 × 100

= 17%

Answer:

The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"

Step-by-step explanation:

Answer:

Step-by-step explanation:

The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"

Answer:

hi

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. 3n+2s+2h+1x=42.50

b. 90.3

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Ana

Step-by-step explanation:

Given that:

Ana's location = −30feet below sealevel

Chuyen's location = − 12feet below sea level

Sea level = point 0 ;

-30 feets below sea level

A depth of - 30, below the water surface.

A depth of - 12 below sea level ; a depth of 12 feets below the water surface

-30 feets is farther below the water surface than - 12 feets

Hence, Ana is farther below the sea level than Chuyen

Answer:

12q -1/2

Step-by-step explanation:

Answer:

12q -1/2

Step-by-step explanation:

Answer:

the correct answer would be 27

Step-by-step explanation:

So first things first you need to replace n with 4

3n+15

(3)(4)+15

=12+15

=27

Hope this helps have an amazing day!!

Answer: 27

Step-by-step explanation:

-We would need to substitute the value of the variable into the equation and simplify.

-We will be plugging in 4 for n.

Step 1: Plugging in.

3 * 4 = 12

Step 2: Addition.

12 + 15

Final Answer: 27

Answer:

yes

Step-by-step explanation:

For a relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.

Since the relation is a straight line , then each value of x will only map to one unique value of y ( passes the vertical line test )

Answer:

10.50

Step-by-step explanation:

Answer:

10.50

Step-by-step explanation:

multiply 10 by .5 and you get 50cents so add that to 10 and you get 10.50

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too