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Anuta_ua [19.1K]
3 years ago
8

The population of a coty is 100,000 and the annual growth rate is 4.2%. Write an equation to model the population y after x year

s
Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer: 1,00,000(1+0.042)^x

Step-by-step explanation:

Given

The initial population of a city is P_o=1,00,000

The annual growth rate is 4.2\%

after 1 year it is

\Rightarrow P_1=1,00,000+4.2\%\times 1,00,000\\\Rightarrow P_1=1,00,000(1+0.042)

after 2 years, it is

\Rightarrow 1,00,000(1+0.042)+4.2\%\times 1,00,000(1+0.042)\\\Rightarrow 1,00,000(1+0.042)^2

after x years it is

\Rightarrow P_x=1,00,000(1+0.042)^x

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If 5x+6-19=5 what is x
Troyanec [42]

Answer:

<em>x </em>equals 3.6.

Step-by-step explanation:

A way to solve this equation is to preform the inverse operations on both sides.

1. Add 19 to -19 and 5: 5<em>x </em>+ 6 - 19 + 19 = 5 + 19  ---> 5x + 6 = 24

2. Subtract 6 from 6 and 5: 5x + 6 - 6 = 24 - 6 ---> 5x = 18

3. Divide 5x and 18 by 5: 5x / 5 = 18 / 5 ---> x = 3.6

4. 3.6 is the answer.

To prove it, substitute x with 3.6 in the equation: 5 · 3.6 + 6 - 19 = 5

I hope this made sense and helped you a lot! :)

5 0
3 years ago
Read 2 more answers
What is the measure of angle of 1?
Ludmilka [50]

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

6 0
3 years ago
Chad has a rope that is 25 yards long. How many pieces of rope measuring of a yard can he divide his rope into?
Angelina_Jolie [31]

He can divide it into 8 pieces plus an extra foot

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Points A, B and C make the triangle triangle ABC and are at the coordinates A(- 4, 3) , B(- 48, 17) and C(22, - 53) . Point D is
Nina [5.8K]

The equation of the median in standard form is; 9y - 38x = 179.

<h3>What is the equation of the media in standard form?</h3>

It follows from the task content that the point D is the midpoint of segment BC; Hence, the coordinates of point D given the coordinates of B and C above are given as; D(-13, -35).

The equation of the median which is the line joining points A and D is therefore determined as follows;

Slope = (-35-3)/(-13-(-4)) = 38/9

38/9 = (y-3)/(x+4)

9y -27 = 38x + 152

9y - 38x = 179.

Read more on equation of a line;

brainly.com/question/18831322

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2 years ago
4. Answer the question below using complete sentences. * Rae made a table of x and y values. The relationship between the x and
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Answer:

  • Any of x = {-3, 5, -1, 0}

Step-by-step explanation:

Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.

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This will result in repeat of x-values with different corresponding y-values.

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