May I please get help with graphing the final point

The simple interest, in two years at the rate of 1.2% is 880

In this case, we must calculate how much interest 2000 would earn compounded yearly over two years at a rate of 1.2.

I = 880 in interest earned

Annually, the system may be evaluated in terms of simple interest.

A = P(rt) for the first year, where r = 1.2 and t = 1.

Therefore;

A = 2000(1.2×1).

A = 2400.

As a result, the revised Principal amount for the second year is 2400.

As a result, A' = 2400 (1.21).

A' = 2880.

As a result, the sum owing after two years is 2880.

However, because the initial principal is $2,000,

The interest is defined as I = A' - P, or I = 2880 - 2000.

I = 880 as a result of interest.

Simple interest is computed as S.I. = P R T, where P = Principal, R = Annual Rate of Interest in %, and T = Time, commonly expressed as the number of years. The interest rate is expressed as a percentage r% and is written as r/100.

The principle is the money borrowed from the bank or invested at the outset. P represents the principal.

Rate: The rate of interest at which the principle amount is handed to someone for a specific period of time; the rate of interest can be 5%, 10%, or 13%, for example. R represents the interest rate.

Time is the length of time for which the primary amount is supplied to someone. T represents time.

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Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer:

Find the measure of what?

Step-by-step explanation:

Next time please write the entire equation. Thank you!

Answer:

correct answer is d. 0.50 per pound

explanation-

equation of line is y=mx+c

where c is the point where the line intersects y axis. (0,0) in this case.

and m is the slope, which we need to find.

from the graph, when x=2, y=1. putting in above equation

1=2m+0

implies m=0.5

Answer:

$. 50 per pound

Step-by-step explanation:

We need to find the slope

We have two points (0,0) and (2,1.00)

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

  =1/2

 =.50

$. 50 per pound

Answer:

y - 4 = 4(x - 5)

Step-by-step explanation:

We are given that a line has a slope (m) of 4 and passes through the point (5,4).

We want to write this equation in point-slope form.

Point-slope form is given as \(y-y_1=m(x-x_1)\), where m is the slope, and \((x_1,y_1)\) is a point.

Since we are given the slope and the point, we can immediately plug them into the formula.

Let's start with the slope; we can replace m in \(y-y_1=m(x-x_1)\) with 4.

\(y-y_1=4(x-x_1)\)

We can now plug 5 for \(x_1\) and 4 for \(y_1\).

y - 4 = 4(x - 5)

==========================================================

It might help to draw a triangle to represent what's going on. See the diagram below.

Let's call the triangle ABC. We'll place point A at the 90 degree angle, so it's at the base of the tower. Place point B where the knight is located. Point C is the location of the window in the tower.

The knight is 15 feet away from the base, meaning AB = 15. With respect to the reference angle (B = 60), side AB = 15 is the adjacent side. The length of the ladder BC is the unknown hypotenuse. We'll call this x for now.

We'll use the cosine rule to connect the adjacent and hypotenuse.

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BC

cos(60) = 15/x

x*cos(60) = 15

x = 15/cos(60)

x = 30

Your calculator needs to be in degree mode.

Because x = 30, we conclude that the ladder needs to be BC = 30 feet long.

Side note: For any special 30-60-90 right triangle, the hypotenuse is always twice as long compared to the shorter leg.

Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris.

Given that,

There are 4 children's. The names of the children's are Philip, Annie, Paul and Chris.

Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie.

We have to find which represents the order of the children by age, from oldest to youngest.

We know that,

Lets us take the ages if the children's as a,b,c,d of Philip, Annie, Paul and Chris.

Philip is twice as old as Annie.

That means a = 2b

Paul is 4 years older than Phillip and

That mean c =4+a

Chris is 2 years younger than Annie.

That means d=b-2

So,

If we take the age of Philips as 20

Then Annie is 10, Paul is 24 and Chris is 8.

Therefore, Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris .

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The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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Answer: -6.25, -2, 3/4, 3, 5, 6, 67/10 would be the soliton

The system of inequalities that can be used to find the possible original prices of a laptop, x, and of a printer, y is: x + y ≥ 1050 and 0.8x + 0.9y > 860

Let x be the original price of the laptop and y be the original price of the printer.

So, the discounted price of the laptop is 0.8x and the discounted price of the printer is 0.9y

If the two are purchased together, the total discounted price is:

0.8x + 0.9y

This exceeds $860

0.8x + 0.9y > 860

The original prices of the two together is at least $1,050.

This can be written as:

x + y ≥ 1050

So, we have

x + y ≥ 1050 and 0.8x + 0.9y > 860

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Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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The slope of line a = 3

The slope of line b = -1/3

Line a: -3x+y=1

Rewritting by making y the subject of formula:

y = 3x + 1

Using equation of line: y = mx + c

m = slope

c = y-intercept

compare both equations:

y = y

c = 1

3x = mx

m = 3

The slope of line a = 3

Line b: 2x+6y=12

Rewritting by making y the subject of formula:

6y = -2x + 12

divide both sides by 6 so y stands alone:

6y/6 = -2x/6 + 12/6

y = -1/3 x + 2

Comparing with equation of line: y = mx + c

y = y

c = 2

mx = -1/3 x

m = -1/3

The slope of line b = -1/3

Answer:

7x - 8

Step-by-step explanation:

Hope this helps!

Answer:

8

Step-by-step explanation:

R is another way of saying multiply 10 (Or any number) by something to get 80 (Or the sum)

10 x 8 = 80

80=10r

r = 8

Answer:

r= 80/10

r= 8

hope it helps you

Step-by-step explanation:

you may Mark me as brainliest:)

Answer:

1

Step-by-step explanation:

1 twice is still 1. This is less then 3.

1 x 1 = 1 <3

Equation x = 1 represents the vertical line passing through (1 ,-9).

" Equation of a line is defined as an algebraic expression which is represented by linear equation in two variables with highest degree 1. Minimum two coordinates required to draw a line."

According to the question,

Coordinates in the plane represented by (x, y)

We have

Line passing through the point  = (1 ,-9)

x = 1 for different values of y represents a line perpendicular to x-axis.

Therefore,

Vertical line passing through (1, -9) is equals x = 1.

Hence, Option(B) is the correct answer.

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To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer: There are a lot of possibilities

- she was taking a break

- she forgot

- she was too busy

- she was injured

- she didn't want to

- there was an emergency

I guess you could pick your favorite...

Answer:

Step-by-step explanation:

m = -6

Equation: y = mx + b

y = -6x +b

(-4 , 1)

Plugin x = -4 and y = 1 in the above equation

1 = -6*(-4) + b

1 = 24 + b

1- 24 = b

b = -23

Equation: y = -6x - 23

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

The percentage of data items that lie below the z-score of 3 is 99.87%.

In a normal distribution, the z-score represents the number of standard deviations a particular data point is away from the mean. The table provided gives the percentiles corresponding to different z-scores.

To find the percentage of data items that lie below a z-score of 3, we can look up the corresponding percentile in the table. In this case, the percentile for a z-score of 3 is given as 99.87%.

This means that approximately 99.87% of the data items in a normal distribution are below a z-score of 3.

Similarly, to find the percentage of data items that lie above a z-score of 3, we can subtract the percentage below the z-score from 100%. In this case, it would be 100% - 99.87% = 0.13%.

This means that approximately 0.13% of the data items in a normal distribution are above a z-score of 3.

Thus, these percentages indicate the relative position of the data points within the distribution. It provides a measure of how extreme or rare a particular value is in comparison to the rest of the distribution.

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So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

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Answer:

4 cm by 5 cm (4 x 5)

Step-by-step explanation:

The area of a rectangle with length \(l\) and width \(w\) is given by \(A=lw\). Since the length of the rectangle is 7 less than 3 times its width, we can write the length as \(3w-7\). Therefore, substitute \(l=3w-7\) into \(A=lw\):

\(A=lw,\\20=(3w-7)w\)

Distribute:

\(20=3w^2-7w\)

Subtract 20 from both sides:

\(3w^2-7w-20=0\)

Factor:

\((w-4)(3w+5)=0,\\\begin{cases}w-4=0, w=\boxed{4},\\3w+5=0, 3w=-5, w=\boxed{-\frac{5}{3}}\end{cases}\)

Since \(w=-\frac{5}{3}\) is extraneous (our dimensions cannot be negative), our answer is \(w=4\). Thus, the length must be \(20=4l, l=\frac{20}{4}=\boxed{5}\) and the dimension of the rectangle are 4 cm by 5 cm (4 x 5).

Answer:

\( y = -6x^2 -17 x -12\)

And since the higher exponent for the x term is 2 we can classify the equation  as quadratic

Quadratic term: -6

Linear term: -17

Constant term: -12

Step-by-step explanation:

For this problem we have the following equation:

\( y = (3x+4)(-2x-3)\)

And we can distribute the terms and we got:

\( y = -6x^2 -9x -8x -12\)

And solving we got:

\( y = -6x^2 -17 x -12\)

And since the higher exponent for the x term is 2 we can classify the equation  as quadratic

Quadratic term: -6

Linear term: -17

Constant term: -12