Phil invests £800 for 3 years in a bank account. The account pays simple interest at a rate of 2% per year. Work out the total amount of interest Phil has got at the end of 3 years.​

Angles ∠4 and ∠6 are the same side interior angles.

Interior angles are defined as the inner of two angles formed when two sides of a polygon intersect. Any of the four angles are formed when a third line intersects a pair of parallel lines.

If two angles are on opposite sides of a transversal, they are alternate. A transversal is a line that runs parallel to two horizontal lines. The alternate angles are alternate interior angles if they are located between the two parallel lines. The alternate angles are alternate exterior angles if they are located outside of the two parallel lines.

Angles ∠4 and ∠6 are known as alternate interior angles based on the information provided. As a result, you have the following options:

They are located on opposing sides of the transversal.

They are located between the two lines crossed by the transversal.

Therefore Angles ∠4 and ∠6 are the same side interior angles.

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Answer:

25.2 miles per gallon

Step-by-step explanation:

[tex]\frac{31.5}{1.25}[/tex]

Answer:

0, 9.5

Step-by-step explanation:

We can rewrite the equation as [tex]y=0x+9.5[/tex].

Comparing this to slope-intercept form, the slope is 0 and the y-intercept is 9.5.

The fraction 3/5 fits into 2 1/5 more than once. The quotient is more than one.

We are given two fractions. The first fraction is 3/5, which is a simple fraction. The second fraction is 2 1/5, which is a mixed fraction. We will first convert the mixed fraction into a simple fraction.

F = 2 1/5

F = (2*5 + 1)/5

F = 11/5

We need to find out if the quotient is more or less than one. So we will divide the second fraction by the first fraction. Let the quotient be represented by the variable "Q".

Q = (11/5)÷(3/5)

Q = (11/5)×(5/3)

Q = 11/3

Q = 3.667

We can see that the quotient is more than one. Hence, the fraction 3/5 fits into 2 1/5 more than once.

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Answer:

the fraction 3/5 fits into 2 1/5 more than 1 time. That means the quotient is greater than.

Step-by-step explanation:

Slope intercept form become C = 10 + 0.20m

What do you mean by linear equation?

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.

Both linear equations with one variable and those with two variables exist.

The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable.

Slope intercept form is y =  mx + c where m is the slope and c is the y-intercept.

It is given that an Uber driver charges a $10 pick-up fee plus $0.20 per mile.

Let m be the total miles.

According to question, the equation become

Total charges, C = 10 + 0.20m

Therefore, slope intercept form become C = 10 + 0.20m

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In a triangle ABC the value of side a is 13.12 cm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in a ΔABC, a/sinA = b/sinB = c/sinC.

GIven, In a ΔABC A = 29°, B = 36°, b = 15.8 cm.

∴ a/sinA = b/sinB.

a/sin(29°) = 15.8/sin(36°).

a/0.49 = 15.8/0.59.

a = (15.8×0.49)/0.59

a = 7.742/0.59.

a = 13.12.

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Answer: P and Q could both be equal to -1

1. The number of students who study all three subjects is 10.

2. The number of students who study only mathematics and chemistry is 8

Set operations are the operations that are applied on two or more sets to develop a relationship between them.

Let mathematics = M, physics = P, chemistry = C.

n(M∪P∪C) = 80

n(M) = 48

n(P) = 40

n(C) = 44

n(M∩P) = 20

n(M∩C) = ?

n(C∩P) = 24

n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32

20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32

n(M∩C) = 3n(C∩P∩M) - 12 - *

We know,

n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)

80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)

n(M∩C) = n(C∩P∩M) + 8 -

Equating

n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12

2n(C∩P∩M) = 20

n(C∩P∩M) = 10

Putting the value of n(C∩P∩M) in *

n(M∩C) = 18

n(M∩C) - n(C∩P∩M) = 8

Therefore, eight students study mathematics and chemistry.

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Answer:

0.5625

Step-by-step explanation:

18/32=0.5625

Answer:

0

Step-by-step explanation:

153 isn't between 1-100 making the probability 0

Answer:

1.6544 ounces

Step-by-step explanation:

47x0.0352

1.6544 ounces

Hopes this helps please mark brainliest

A continuous function that has a domain of [-3, 4]  will include all the values as -3,-2,-1,-0,-1,-2,3,4

What do you mean by continuous function?

In mathematics, a continuous function is one where a continuous variation of the argument results in a continuous variation of the function's value (i.e., a change without a leap). This indicates that there aren't any discontinuities, or sudden changes in value. More specifically, a function is continuous if it is possible to guarantee that its value will not vary significantly even with arbitrarily tiny changes to its parameter. Any function that is not continuous is said to be discontinuous.

It is given that a continuous function has a domain of [-3,4]

According to the definition of closed interval,

[-3,4] will contain all the elements between them and including them.

Therefore, [-3,4] will contain elements as -3,-2,-1,-0,-1,-2,3,4

Hence, a continuous function that has a domain of [-3, 4]  will include all the values as -3,-2,-1,-0,-1,-2,3,4

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Answer:

x = 5

Step-by-step explanation:

I'm going to assume that this is asking you to graph in Slope-Intercept form, but if I am mistaken, comment on my answer and I will happily change it.

Slope-Intercept form:

y = mx + b

You leave y and x as variables, while m and b are to be substituted for slope and y-intercept. y-intercept is when x=0, where a point on a line is on the y axis.

To help you learn, for example, we have an equation is slope-intercept form:

y = 8x + 3

In this case, the slope is 8 and the y intercept is 3 as m is the slope and b is the y-intercept.

The slope is the steepness of the graph. The value of the slope is how much the y-value increases if the x-value increases by 1.

We can find the slope from 2 points using this formula:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we plug in our points into the formula.

[tex]\frac{-2-3}{5-5}[/tex]

Simplify.

[tex]\frac{-5}{0}[/tex]

Anything divided by 0 is undefined. This means the line we are graphing is completely vertical, known as undefined. We can only get this if the x value stays the same no matter what. In this case, the x value stays the same when the y value changes, meaning a undefined slope.

We have a special case here. If the slope is undefined, we do not use y = mx+b. Instead, we use:

x = what the x values of the 2 points are

x values of both points: 5

x = 5

Answer:

$2.54

Step-by-step explanation:

2 qaurt = 8 cups

20.32/8=$2.54 percup

The symbols d and sd represent:

The differences in the mean of the paired data entries in the dependent samples.

What is the standard deviation?

A measure of a set of values' variance or dispersion is called the standard deviation.

Here,

d: the difference between paired data in the dependent samples.

sd:  standard deviation.

The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.

Hence, the differences in the mean of the paired data entries in the dependent samples.

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The Verdicts on each value of u according to the given inequality are as follows; 11, 13 and 8.

It follows from the task content that the values which are solutions to the inequality; u ≤ 13 are to identified.

To determine the solution of an inequality on a number line, the number line representation of such inequality is very pivotal.

Therefore, the inequality given; u ≤ 13 simply implies that; the solution set of u includes 13 and all numbers to the left of 13 on the number line.

Hence, by considering each of the given values of u; we have;

Ultimately, the solutions to the inequality among the answer choices are; 11, 13 and 8 respectively.

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The expression for the perimeter of the square with and without brackets is 4(t + 5) and 4t + 20, respectively.

We are given a shape. The shape is a square. The side length of the square is equal to (t + 5). We have to find the expression for the perimeter of the square. A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. Let the perimeter of the square be denoted by the variable "P".

The expression for the perimeter of the square in brackets is given below:

P = 4(t + 5)

The expression for the perimeter of the square without brackets is given below:

P = 4t + 20

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Answer:

8.00am

Step-by-step explanation:

from 12 at night to 12 noon the time notation for 24 hrs and 12 hrs stay the same

Answer:

A See work below

B  7.07

C [tex]\sqrt{50}[/tex]

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]5^{2}[/tex] + [tex]5^{2}[/tex] = [tex]c^{2}[/tex]

25 + 25 = [tex]c^{2}[/tex]

50 = [tex]c^{2}[/tex]

[tex]\sqrt{50}[/tex] = [tex]\sqrt{c^{2} }[/tex]

[tex]\sqrt{50}[/tex]  = c  This is the exact answer.  [tex]\sqrt{50}[/tex] is an irrational number.  This means that it never terminates or repeats in the decimal form.

[tex]\sqrt{50}[/tex] ≈ 7.07 Rounded

Answer(s):

[tex]5\sqrt{2}[/tex] and [tex]7.07[/tex]

Step-by-step explanation:

substitute a=5 and b= 5 into Pythagorean Theorem:

[tex]a^2+b^2=c^2\\(5)^{2}+ (5)^{2} = c^2[/tex]

Simplify:

[tex]25+25=c^{2}[/tex]

[tex]50=c^{2}[/tex]

square root of c^2 and 50

[tex]\sqrt{50} =\sqrt{c^2} \\\\\sqrt{50} =c[/tex]

Use prime factorization to reduce [tex]\sqrt{50}[/tex] to [tex]5\sqrt{2}[/tex]

So here are the answers:

Radical form [tex]5\sqrt{2}[/tex]

Rounded to nearest hundredth: [tex]7.07[/tex]

Hope this answer helps :)

Answer:

The answer is eleven. 11

Bobby spent $20 out of $75 of his monthly allowance on paintbrushes.

What is monthly allowance?

Giving someone money on a regular basis to help them pay for the things they need is known as giving them an allowance.

Main Body:

total monthly allowance = $75

Now Bobby spent 40% on his art supplies,

which means we need to calculate 40% of 75.

⇒(40/100)*75

⇒30

so Bobby spent $30 on art supplies.

now according to question,

Bobby spent 2/3 on paintbrushes

⇒2/3 of art supplies

⇒(2/3 )*30

⇒$20

Hence Bobby spent $20 on his paintbrushes.

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Answer:

good i will buy          

Step-by-step explanation:

Answer:

Step-by-step explanation:

3060

Answer:

y= 12

Step-by-step explanation:

Just change the y-value (b in y=mx+b)

The first system of equations has no solution and the second set of equations has a unique solution.

If we are having two equations as

[tex]a_{1} x^{2} +b_{1} x+ c_{1} =0[/tex]

and [tex]a_{2} x^{2} +b_{2} x+ c_{2} =0[/tex]

The condition at which these equations will have infinitely many solutions is

[tex]\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } =\frac{c_{1} }{c_{2} }[/tex]

The condition at which these equations will have infinitely many solutions is

[tex]\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }[/tex]

For, the 26th question, we have

4x +8y = -8

4x +8y +8 = 0

x +2y +2 =0 equation(1)

x =-2y +1

x +2y -1 = 0 equation(2)

On comparing these equations with the general form, we have

[tex]a_{1} = 1, a_{2} =1\\b_{1} = 2, b_{2} = 2\\c_{1} = 2, c_{2} = -1[/tex]

So, [tex]\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }[/tex]

Thus, this system of equations has no solution.

Now, For the 27th question, we have

2x - 3y = 6

2x -3y -6 = 0 equation(3)

[tex]y = \frac{2}{3}x -2 \\\\3y = 2x -6\\\\3y -2x +6 = 0[/tex] equation (4)

On comparing these equations with the general form, we have

[tex]a_{1} = 2, a_{2} =3\\b_{1} = -3, b_{2} = 2\\c_{1} = -6, c_{2} = 6[/tex]

So, [tex]\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} }[/tex]  

Thus, this system of equations has a unique solution.

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Answer:

ok ask your teacher

Step-by-step explanation:

Answer: (0,9)

Step-by-step explanation:

4-2=2

2-2=0

3+3=6

6+3=9

or just put this into the calculator on the table button

Answer:C. (1,-3)

E. (2,5)

Step-by-step explanation: