Your goal is to create a college fund for you child. Suppose you find a fund that offers an apt of 6% . How much should you deposit monthly to accumulate $80,00 in 14 years

Answer:

Yes it can

Step-by-step explanation:

7+7=14 greater than 5

7+5=12 greater than 7

7+7=14 greater than 5

A traingle can be construct with these side lengths. (Can I have brainliest)

Answer:

22 students.

Step-by-step explanation:

There are a total of 40 players on the football team. 2/5 walk, 1/4 ride with their parents, and the rest ride the bus. To solve, I'm going to be using fractions to find out how many students ride the bus.

1/4 of 40 or 40/4 is equal to 10.

So we know 10 players ride with their parents.

2/5 of 40 or 40/5 is equal to 8.

Cool, 8 students walk to practice.

Now the rest ride the bus. Let's use addition to find the total amount of players that dont use the bus and subtract it from the total amount of players.

10+8=18

40-18=22.

22 students/players ride the bus to football practice.

Answer:

149.28 m²

Step-by-step explanation:

Bottom and two sides of the rectangle: 3x4x6=72

Two square ends of the rectangle: 2x4x4=32

Two triangular sides of the prism: 2x1/2x2x6=12

Back of prism: 2x4=8

Top of prism: 4x6.32=25.28

72+32+12+8+25.28=149.28

Answer:

Second option

Step-by-step explanation:

They have been completed with 8 valence electrons. I hope this helps

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

corral:

19.8 mm

Step 02:

units conversion:

The answer is:

0.0198 m

Answer:

n=0.6

Step-by-step explanation:

We want to get n alone so we can divide each side by 0.09.

So then n= 0.054/0.09.

n=0.6

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

Step-by-step explanation:

Alcohol content remains same at the input and output.

Let 40% solution is x ml and 80% solution is y ml.

We have:

Simplify the second equation and solve by elimination, subtract the equations:

Find the value of x:

Answer:

He needs \(\boxed{ \sf 800}\) milliliters of 40% solution.

He needs \(\boxed{ \sf 1200}\) milliliters of 80% solution.

Step-by-step explanation:

Given information:

Define the variables:

Create a system of equations with the given information.

\(\begin{cases}x + y = 2000\\40x + 80y = 64(2000)\end{cases}\)

Rewrite Equation 1 to make y the subject:

\(\implies y=2000-x\)

Substitute this into Equation 2 and solve for x:

\(\implies 40x+80(2000-x)=64(2000)\)

\(\implies 40x+160000-80x=128000\)

\(\implies -40x=-32000\)

\(\implies x=800\)

Therefore, 800 ml of 40% alcohol solution is needed.

Substitute the found value of x into Equation 1 and solve for y:

\(\implies 800+y=2000\)

\(\implies y=1200\)

Therefore, 1200 ml of 80% alcohol solution is needed.

Learn more about systems of equations here:

https://brainly.com/question/27930827

ANSWER:

125/2 =125/2

PROVED

STEP BY STEP EXPLANATION

PUTTING THE VALUE OF X, WE HAVE

1/2×5×5×5=125/2

1/2×125=125/2

125/2=125/2

HENCE ,L.H.S =R.H.S

PROVED.

HOPE THIS WILL HELP YOU

Answer:

ratio of girls to boy :5:3

Step-by-step explanation:

=5 x /8 x  100

x cancels x

Answer:

y-1= -1/3(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=m(x+3)

the slope is rise over run

the slope is -1/3

Answer:

y - 1 = 3/2 (x + 3)

Step-by-step explanation:

To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) is the given point and m is the slope of the line.

First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):

slope = (y₂ - y₁) / (x₂ - x₁)

= (2 - (-4)) / (2 - (-2))

= 6 / 4

= 3/2

Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.

Now we can substitute the values into the point-slope form using the point (-3, 1):

y - 1 = (3/2)(x - (-3))

y - 1 = (3/2)(x + 3)

The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:

y - 1 = 3/2 (x + 3)

Answer:

1) x = -6, 8

2) x = -1 + i√2

Step-by-step explanation:

1)

\( {x}^{2} - 2x - 48 = 0\)

\((x - 8)(x + 6) = 0\)

x = -6, 8

2)

\(3 {x}^{2} + 2x + 1 = 0\)

x = (-2 + √(2^2 - 4(3)(1))) / (2 × 1)

x = (-2 + √(4-12)) / 2

x = (-2 + √-8) / 2

x = (-2 + 2i√2) / 2

x = -1 + i√2

The equation of the line parallel to the line  7x - 4y = - 5 and passing through (16, - 4) is y = (7/4)x - 32.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know lines parallel to each other have the same slope which is

7x - 4y = - 5 ⇒ - 4y = - 7x - 5 ⇒ y = (7/4)x + (5/4) to our required line will also have the same slope passing through the point  (16, - 4).

Therefore, - 4 = 16(7/4) + b.

- 4 = 28 + b.

b = - 32.

Therefore, y = (7/4)x - 32 is the required line.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ1

Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

Know more about rate of investment,

https://brainly.com/question/25790997

#SPJ1

With the given mean, you need a score of 78 or higher for an A, and your score is below that, you will not receive an A in the class.

What is mean?

In statistics, the mean is the numerical average of a set of data. It is calculated by adding up all the values in the data set and then dividing by the total number of values.

To determine your performance relative to the class, we can use z-scores, which indicate the number of standard deviations your score is away from the mean.

First, we need to calculate the z-score for your score:

z = (your score - class mean) / standard deviation

z = (68 - 72.5) / 4.3

z = -1.0465

Your z-score is -1.0465.

We can interpret this z-score using a standard normal distribution table or calculator. Approximately 15.9% of the distribution falls below a z-score of -1.0465, meaning your score is below about 15.9% of the class.

To determine the grade you will receive, we need to know the grading scale for the class. Assuming an A is 90 or above, the grade cutoffs might look something like this:

A: 90 or above

B: 80-89

C: 70-79

D: 60-69

F: below 60

Since you need a score of 78 or higher for an A, and your score is below that, you will not receive an A in the class.

To learn more about mean visit:

https://brainly.com/question/1136789

#SPJ1

Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2

The slope is the number with the letter x

The slope would be -10

The y intercept is the number at the end of the equation.

The y intercept is 1

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

Read more on equation of a circle here: brainly.com/question/17028215

#SPJ1

Answer:

y = - \(\frac{1}{2}\) 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 )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = \(\frac{-1-1}{4-0}\) = \(\frac{-2}{4}\) = - \(\frac{1}{2}\)

The line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of line

Answer:

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Only 2 of the 11 companies were planning to increase their workforce

This means that \(n = 11, \pi = \frac{2}{11} = 0.182\)

80% confidence level

So \(\alpha = 0.2\), z is the value of Z that has a pvalue of \(1 - \frac{0.2}{2} = 0.9\), so \(Z = 1.28\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331\)

An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.

Answer:

\(\mathsf{x = \frac{31}{3}}\)

Step-by-step explanation:

\(\textsf {Given :}\)

\(\implies \mathsf {x + 26 = y}\)

\(\implies \mathsf {y - 12 = z}\)

\(\implies \mathsf{x + y + z = 71}\)

\(\textsf {Substitute for y and z in the 3rd equation :}\)

\(\implies \mathsf {x + x + 26 + y - 12 = 71}\)

\(\implies \mathsf {2x + 14 + x + 26 = 71}\)

\(\implies \mathsf {3x + 40 = 71}\)

\(\implies \mathsf {3x = 31}\)

\(\implies \mathsf {x = \frac{31}{3}}\)

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

Know more about variable here:

https://brainly.com/question/28248724

#SPJ8

Answer:

X = 9

Step-by-step explanation:

1. Subtract 72 from both sides.

24x = 216

2. Divide 24 on both sides

x = 9

Answer:

X = 9

Step-by-step explanation:

We have to separate the like terms

72 + 24x = 288

24x = 288 - 72

24x = 216

We then divide both sides by 24

X = 9

The value of line RS is 23

From the diagram shown, we have that line PS, line PQ, line QR and line RS form a square.

Note that the sides of a square are equal to each other.

The relationship is represented as;

Line PS = Line PQ = Line QR = Line RS

We have that;

Substitute the expressions

6x - 5 = 9x - 4

Now, collect like terms

6x - 9x = - 4 - 5

Subtract the like terms

-3x = -9

Make 'x' the subject of formula

-3x/-3 = -9/-3

x = 3

Then, RS = 9x - 4 = 9(3) - 4 = 27 - 2 = 23

Hence, the value is 23

Learn more about squares here:

https://brainly.com/question/25092270

#SPJ1

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

To learn more about linear function refer:

brainly.com/question/28441514

#SPJ1

The equation of this line is given by:

y = -1/2x + 1.

A linear function is modeled by:

y = mx + b

In which:

Given two points, the slope is given by change in y divided by change in x. In this problem, we have points (0,1) and (2,0), hence:

m = (1 - 0)/(0 - 2) = -1/2.

Point (0,1) also means that the y-intercept is of b = 1, hence the equation of this line is given by:

y = -1/2x + 1.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Step-by-step explanation:

the option you chose (<C~=<Y) is absolutely correct.

Answer: a = 9.2

Step-by-step explanation: -174.8/-19 = 9.2

Answer:

21

Step-by-step explanation:

21

Answer:

Number of children in each room = c / 3

Step-by-step explanation:

Given:

Number of rooms in care center = 3

Number of children attend the center = c

Find:

Number of children in each room

Computation:

Number of children in each room = Number of children attend the center / Number of rooms in care center

Number of children in each room = c / 3