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In 8 months and 17 days Michael will reach the height of Caroline.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Ax + B = 0, where A and B are both real integers, and x is the only variable, is the standard form or general form of a linear equation in one variable. Ax + By = C is the formula used to describe linear equations with two variables, where x and y are the variables and A, B, and C are any real values.

Let in x months Michael and Caroline will be at same height so,

36 + 0.75x = 39 + 0.4x

⇒0.35x = 3

⇒x = 8.57

So, in 8 months and .57*30 = 17 days Michael will reach the height of Caroline.

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a. A function that models the population of the city's years after 2010 is:

f(x) = 50,000 * (1 + 0.05)^(x-2010)

where x is the number of years after 2010.

b. The population of the city in 2017 (7 years after 2010) is:

f(2017) = 50,000 * (1 + 0.05)^7

           = 65,128

c. The population of the city in 2020 (10 years after 2010) is:

f(2020) = 50,000 * (1 + 0.05)^10

            = 76,923.1

The population of the city in 2030 (20 years after 2010) is:

f(2030) = 50,000 * (1 + 0.05)^20

            = 129,382

d. The population in 2020 is 76,923.1, and the population in 2010 is 50,000, so the population grows by:

= 76,923.1 / 50,000

= 1.53846

The population in 2030 is 129,382, and the population in 2020 is 76,923.1, so the population grows by:

= 129,382 / 76,923.1

= 1.6859  

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Answer:

To find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.

Step-by-step explanation:

Answer:

Lily=35, Sophie =18

Step-by-step explanation:

Sophie =x

Lily=3x-19

Lily (x)+ Sophie (3x-19)=53

x+3x-19=53

4x=72

x=18 sophie

‘3x-19=Lily

3(18)-19. Lily

54-19.     Lily

35.          Lily

Lily + Sophie-53

35+18=53

53=53

Answer:

Answer of the Sophie solves the problems= 18

Lily solves the problems= 53

Step-by-step explanation:

Sophie solve the problem =x

Lily solve the problem =3x-19

Sophie and lily solve the problems together

(x)+ (3x-19)=53

x+3x-19=53

4x=72

Sophie x=18

3x-19=Lily

3(18)-19= Lily

54-19 =  Lily

35 = Lily

Hence , Lily solve the number problems =35

And Sophie solve the problem= 18

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Answer:

x = 6

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , so

11x - 14 = 7x + 10 ( subtract 7x from both sides )

4x - 14 = 10 ( add 14 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6

The confidence interval is (22.68,29.52).

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.

n = 10

x = 26.1

s = 4.2

Two-sided confidence interval :

CI = [tex](x-\frac{z*s}{\sqrt{n}},x+\frac{z*s}{\sqrt{n} } )[/tex]

    = [tex](26.1-\frac{2.576*4.2}{\sqrt{10}},26.1+\frac{2.576*4.2}{\sqrt{10}} )[/tex]

    = (26.1−3.42,26.1+3.42)

    = (22.68,29.52)

Hence, the confidence interval is (22.68,29.52).

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The sequences of transformations could be applied is

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

From the picture we have, g(x) = -3x - 1

Parent function: f(x) = x

1)  Reflect over the y-axis gives g(x) = -x

Vertically stretch by a factor of 3 gives g(x) = -3x

Shift down 1 unit gives g(x) = -3x - 1

2) Shift left 2 units: g(x) = x+2

Reflect over x-axis: g(x) = -x-2

Vertically stretch by a factor of 3 gives g(x) = -3x -6

3) Shift right 1 unit: g(x) = x-1

Reflect over the y-axis: g(x) = -x-1

Vertically stretch by a factor of 3: g(x) = -3x -3

4) Shift right 1 unit: g(x) = x-1

Reflect over the x-axis: g(x) = -x+1

Vertically stretch by a factor of 3: g(x) = -3x +3

5) Reflect over the x-axis: g(x) = -x

Vertically stretch by a factor of 3: g(x) = -3x

Shift down 1 unit: g(x) = -3x - 1

6) Shift down 1 unit: g(x) = x - 1

Reflect over the x-axis: g(x) = -x + 1

Vertically stretch by a factor of 3: g(x) = -3x + 3

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Total interest charged by bank in 2 months is 6793.83.

Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.

The interest that is obtained through the reinvestment of money is known as compound interest. The original principal investment grows substantially more quickly (sometimes referred to as exponentially) when interest is reinvested and allowed to compound over time.

Total loan amount = 875000

total time = 2 months

Rate = 4.75%

Total interest = 875000(1 + [tex]\frac{4.75}{100}[/tex])[tex]\)^{\frac{1}{6} }[/tex] - 875000 =  6793.83

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Answer:

x^2y^-4

Step-by-step explanation:

Answer:

i think the answer is x²y/6

Answer:

[tex]x = \frac{-9}{8} , \frac{-10}{7} , \frac{10}{7}[/tex]

Step-by-step explanation:

8x+9=0

8x=-9

[tex]x = \frac{-9}{8}[/tex]

or

[tex]49x^{2}-100 = 0[/tex]

[tex](7x)^{2} -10^{2} =0[/tex],

[tex](7x+10)(7x-10)=0[/tex]

[tex]7x+10=0, 7x-10=0[/tex]

[tex]7x=-10, 7x=10[/tex]

[tex]x=-\frac{-10}{7}[/tex], [tex]x = \frac{10}{7}[/tex]

Answer:

5pie/6,0

Step-by-step explanation:

i graphed it

Answer:

C that is the answer hope I helped you guys

Answer:

8,960.66

Step-by-step explanation:

In general, the length of the billing cycle is at least 15 days and no longer than 90 days.

The finance charge for a billing cycle is 960.66.

The new opening balance in the following billing cycle is 8,960.66.

Answer:

61.31

Step-by-step explanation:

By using sinus rule

Answer:

median= 1/3

Step-by-step explanation:

You will always get one triangle. This is because of the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles of a triangle is always 180°.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.

The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

The inner angles of every triangle sum up to 180°, 180°, 180°, 180°. Angles in a triangle are the total (sum) of the angles at each of its three vertices.

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Answer:

3

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{2}[/tex] and c = - 1 , then

y = [tex]\frac{1}{2}[/tex] x - 1 ← equation of line

Answe

16.67

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

If you start out with 40 stamps thanks to Garcie's grandma, than are given 30 for every month in the span of 3 months, 30 x 3 is 90, plus 40 is 130.

Answer:

i think its 130

Step-by-step explanation:

30×3 is 90 then add the 40 that the grandmother gave

The slope of the straight line connecting the break's ends to the function's diagram.

For 0 < x < 4 will be -60

For 4 < x < 8 will be -31

The mathematical formula f (x) = [tex]$$a^{x[/tex] denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.

When a positive constant other than 1 is raised to a variable exponent, the function is said to be exponential. Solving at a certain input value yields the evaluation of a function. If you know the growth rate and the starting point, you can find an exponential model.

We have to use the knowledge of functions to describe the average rates of each one of them, so:

For 0 < x < 4 will be -60

For 4 < x < 8 will be -31

It is a measurement of how much the function changed for one person on average throughout that interval. It results from the slope of the straight line connecting the break's ends to the function's diagram.

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The Earth orbits the Sun and rotates around its own axis. The Moon orbits the Earth and is held in place by the Earth’s gravity. This is why the length of a day is gradually increasing over time.

The Moon’s gravitational pull causes the tides, which is why the ocean’s water level rises and falls. The gravitational pull of the Moon also affects the Earth’s rotation by slowing it down slightly. This is why the length of a day is gradually increasing over time.

The Earth orbits the Sun and rotates around its own axis, while the Moon orbits the Earth and is held in place by the Earth’s gravity. The Moon’s gravitational pull causes the tides and affects the Earth’s rotation by slowing it down slightly, resulting in a gradual increase in the length of a day.

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Answer:

u not get the answer

Step-by-step explanation:

Answer:

x axis

Step-by-step explanation:

Answer:

y=-5x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-6))/(1-2)

m=(-1+6)/-1

m=5/-1

m=-5

y-y1=m(x-x1)

y-(-6)=-5(x-2)

y+6=-5(x-2)

y=-5x+10-6

y=-5x+4

Answer:

A) 6

Step-by-step explanation:

in a 30-60-90° Δ the ratio of side lengths is 1 : [tex]\sqrt{3}[/tex] : 2

so we can set up this proportion and cross-multiply:

[tex]\sqrt{3}[/tex] / 1 = y / 2[tex]\sqrt{3}[/tex]

y = 2[tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex] which is 2x3 or 6

Answer:

A

Step-by-step explanation:

Answer:

1. y-2=2/3(x-1) slope: y=2/3x+4/3 standard: 2x-3y=-4

Step-by-step explanation:

The value of x in its simplest radical form is (25)^1/3

When a given number is in the form of a whole number, it is said to be an integer. Thus it can not be in the form of a fraction or does not have a decimal part. Examples include: 20, 345, 10, etc.

Radical form is a type of number which is expressed with a square root. This it could give a whole number or a number with a decimal part as the final answer.

To solve for x in either as an integer or in its simplest radical form;

-42 = 8 - 2x^3

-42 - 8 = -2x^3

- 50 = -2x^3

divide through by -2 to have;

x^3 = 25

find the cube root of both sides,

x = 25^1/3

Therefore in it simplest radical form, the value of x is 25^1/3

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