find the value of x plz i will mark brainliest

The annual growth rate in population of 1.2% means that the population is increasing by 1.2% of the current population each year. To find the time it will take for the population to reach 10 billion, we need to use the following formula:P(t) = P0 × (1 + r)^twhere P0 is the initial population, r is the annual growth rate, t is the time (in years), and P(t) is the population after t years.

We can use this formula to solve the problem as follows: Let \(P0 = 7.6 billion, r = 0.012 (since 1.2% = 0.012)\), and P(t) = 10 billion. Plugging these values into the formula, we get: 10 billion = 7.6 billion × (1 + 0.012)^t Simplifying the right side of the equation, we get:10 billion = 7.6 billion × 1.012^tDividing both sides by 7.6 billion, we get:1.3158 = 1.012^tTaking the natural logarithm of both sides,

we get:ln\((1.3158) = ln(1.012^t)\) Using the property of logarithms that ln \((a^b) = b ln(a)\), we can simplify the right side of the equation as follows:ln(1.3158) = t ln(1.012)Dividing both sides by ln(1.012), we get:t = ln(1.3158) / ln(1.012)Using a calculator to evaluate the right side of the equation, we get:t ≈ 36.8Therefore, it will take about 36.8 years for the world's population to reach 10 billion at an annual growth rate of 1.2%.

In conclusion, It will take approximately 36.8 years for the world's population to reach 10 billion at an annual growth rate of 1.2%. The calculation was done using the formula P(t) = P0 × (1 + r)^t, where P0 is the initial population, r is the annual growth rate, t is the time (in years), and P(t) is the population after t years.

To know more about logarithms visit -

brainly.com/question/30226560

#SPJ11

So,

Given that:

We could graph this situation here below:

The function sin(x) is negative in the third and fourth quadrant. And, the function tan(x) is positive in the one and third quadrant. As you can see, the quadrant that satisfies that sin(x) is negative and tan(x) is positive is the third, so our angle will be in that quadrant.

Now, the third quadrant comprises values ​​between pi and 3pi/2, (which in degrees is 180° and 270°). so we could affirm that:

Answer:

10

Step-by-step explanation:

y = 10 - 2x

Answer:

16

Step-by-step explanation:

y = 10 + 2x

x = 3 ==> plug in 3 wherever x is in the equation

y = 10 + 2(3)

2 * 3 = 6

y = 10 + 6 = 16

The solution is, Deryl should deposit $214.24 monthly.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

here, we have,

The amount required to support annual payments of $100,000 for 25 years can be computed using the amortization formula:

 A = Pr/(1 -(1+r)^-t) . . . .

where A is the annual payment,

P is the initial principal amount,

r is the annual interest rate

and t is the number of years.

Filling in the numbers, we can find P to be ...

 P = A(1 -(1 +r)^-t)/r = 100,000(1 -1.1268^-25)/.1268 ≈ 748,767.70

This we want to be the future value (S) of the series of 360 monthly payments (P) earning annual rate r. The sum of those payments is ...

 S = P((1+r/12)^360 -1)/(r/12)

Filling in the numbers and solving for P, we get ...

 748767.70 = P((1.01^360 -1)/0.01) = 3494.96413P

 P = 748767.70/3494.96413 ≈ 214.24

Deryl should deposit $214.24 monthly.

To learn more on Compound interest click:

brainly.com/question/29335425

#SPJ1

a. To solve for the correct value of the expression : (2)/(3) + (1)/(2)(8 + 3(1)/(4)) `=` 2/3 + 1/2(8 + 3/4) `=` 2/3 + 1/2(33/4) `=` 2/3 + 33/8 To add these fractions, we need to find the lowest common denominator which is 24.2/3 * 8/8 = 16/24 ; 33/8 * 3/3 = 99/24

So, 16/24 + 99/24 = 115/24 Therefore, the correct value of the expression is 115/24.

b. Josiah likely made the error of forgetting to convert the mixed number (1)/(4) to an improper fraction before multiplying 3 by it. Instead, he may have multiplied 3 by the whole number 1.

This would result in the incorrect value of 13(1)/(8).

To know more about denominator refer here:

https://brainly.com/question/32621096

#SPJ11

Answer:

35

Step-by-step explanation:

Answer:

The answer is 35

Step-by-step explanation:

all i did was multiply 5% by 700

George, being a Type A person, is characterized by high stress levels and a competitive nature. b) is prone to heart attacks in his thirties and forties because of his high stress level.

Type A personality refers to individuals who are ambitious, driven, and exhibit a high level of competitiveness. They often experience higher levels of stress and may engage in behaviors such as time urgency and impatience. While it is true that Type A individuals are more prone to heart attacks, the specific age range can vary.

In the case of George, the question states that he is prone to heart attacks in his thirties and forties. This is because the combination of high stress levels, competitive nature, and potentially other risk factors like poor diet, smoking, or lack of physical activity can increase the likelihood of cardiovascular problems at a relatively younger age.

However, the statement does not exclude the possibility of George being at risk of heart attacks in his seventies as well. While the risk may decrease with age due to lifestyle changes or medical interventions, it is still important for individuals with Type A personalities to manage their stress levels and adopt a heart-healthy lifestyle to reduce the overall risk of heart disease throughout their lives.

Learn more about combination here:

https://brainly.com/question/28065038

#SPJ11

George is considered a Type A person. He is suffering from heart attacks  due to high level of stress and anxiety. Select the suitable options.

He a) has a low level of adrenaline b) is prone to heart attacks in his thirties and forties because of his high stress level. c) is prone to heart attacks in his seventies d) is not competitive

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(2x + 9 = 5x\)

\(5x = 2x + 9\)

Subtract sides 2x

\( - 2x + 5x = - 2x + 2x + 9\)

\(3x = 9\)

Divide sides by 3

\( \frac{3x}{3} = \frac{9}{3} \\ \)

\(x = 3\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

CHECK :

\(2x + 9 = 5x\)

\(2(3) + 9 = 5(3)\)

\(6 + 9 = 15\)

\(15 = 15\)

So the value is correct.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

106.25

Step-by-step explanation:

125x.15 (15% discount)=18.75 discount

125-18.75=106.25

Answer:

$440

Step-by-step explanation:

4000×11% = 440

since on average 11% of overall income is spent on food

The smallest possible value is 44%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. 

Given that,

If only three persons are running for the office and the third-place candidate received 28 votes and the second-place candidate received 98 votes, the winner could have received only 99 votes.

In this case, the total number of votes cast would be 28 + 98 + 99  =  225 votes.

The percentage for the winning candidate would be:  99 / 225  =  44%

Therefore, the smallest possible value of x is 44%.

To know more about percentage visit: brainly.com/question/16797504

#SPJ4

Answer:

1 620 minutes or 27 hrs

Step-by-step explanation:

look at attachment

The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

Learn more about inequality graph at:

https://brainly.com/question/11234618

#SPJ1

Answer:

E , F

Step-by-step explanation:

collinear means along the same line

E and F are along the same line

Answer:

D, E, F

Step-by-step explanation:

Collinear means that the given points are part of the same line, meaning that one of the options is on the line that point D is on. This gives us the points E and F.

The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

To know more about value click-
https://brainly.com/question/25184007
#SPJ1

Answer:

i believe the answer is c

Step-by-step explanation:

Answer:

c) 45/60

Step-by-step explanation:

Given problem,

→ 5/6 × 9/10

Let's solve the problem,

→ 5/6 × 9/10

→ (5 × 9)/(6 × 10)

→ 45/60

Hence, option (c) is correct.

He stands 6 feet tall, and his shadow extends 9 feet. if the building's shadow extends for 322.5 feet.

Now 6/9 = X/322.5

9X = 1935

X = 215ft

The Height of the building = 215ft

Consider an object AB of height h such that its shadow of length s is formed and angle of elevation is θ.

The object AB depicts a right triangle in which ∠ABO = 90o.

Now we know that in trigonometry, the tangent ratio for an angle is equal to the opposite side to that angle divided by its adjacent side.

So, for the angle of elevation θ, we have

=> tan θ = AB/OB

Putting AB = h and OB = s, we get

=> tan θ = h/s

=> s/h = 1/tan θ

=> s = h/tan θ

Learn more about Shadow here:

https://brainly.com/question/15021258

#SPJ4

Answer:

500

Step-by-step explanation:

∛125000000= ∛(500 x 500 x 500)

500

The random variation that occurs in any time series is called the irregular component.

The irregular component refers to the random fluctuations or unpredictable patterns that are observed in a time series. It represents the unexplained variability in the data that cannot be attributed to any identifiable pattern, such as seasonal patterns, cyclical effects, or trends. It is often characterized by short-term fluctuations that occur randomly and do not follow a specific pattern or trend.

Learn more about variation

brainly.com/question/17287798

#SPJ11

Answer:

81

Step-by-step explanation:

A perfect square is multiplying a number with the same number in question. 81 is a perfect square because either 9 or -9 will go into it perfectly, like a square's length and height.

\(9^{2} = 81\)

Answer: 81

Step-by-step explanation:

81 can be perfectly square rooted into 9. \(\sqrt{81}=9\)

The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

To learn more about probability, refer:-

https://brainly.com/question/31828911

#SPJ11

Answer:

460

Step-by-step explanation:

138+138+92+92=460

Answer:

The ratio of senior members to junior members at the company is 1 : 3

Step-by-step explanation:

The given average number of years of experience of the senior employees, x = 16 years

The given average number of years of experience of the junior employees, y = 7 years

Let a represent the number of senior employees in the company, and let b represent the number of junior workers in the company, we have;

(16·a + 4·b)/(a + b) = 7

∴ (16·a + 4·b) = (a + b) × 7 = 7·a + 7·b

16·a - 7·a = 7·b - 4·b

9·a = 3·b

a/b = 3/9 = 1/3

a/b = 1/3

The above equation, expressed as a ratio is, a : b = 1 : 3

Therefore;

The ratio of senior members to junior members at the company, a : b = 1 : 3.

Answer:

so sorry i don't know the answer

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

it's a diamond and 120% heat yatyat Efren Reyes bata

Answer:

5 > x

Step-by-step explanation:

2(3x - 5) < 4x

~Distribute left side

6x - 10 < 4x

~Subtract 6x to both sides

-10 < -2x

~Divide -2 to both sides

5 > x

Best of Luck!

Answer:

13 weeks

Step-by-step explanation:

312/24=13