Phil invests £800 for 3 years at the rate of 2% then the total amount after 3 years is £848.
What is Simple interest?The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.
Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.
As per the given information in the question,
Principal amount, P = £800
Time, T = 3 years.
Rate, R = 2%
[tex]SI=(Principle*Rate*Time)/100[/tex]
SI = (800 × 2 × 3)/100
SI = 4800/100
SI = £48
Then, the total amount at the end of 3 years,
= £48 + £800
Total amount = £848
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A random number generator is used to select a number from 1 to 100. What is the probability of selecting the number 153?
Answer:
0
Step-by-step explanation:
153 isn't between 1-100 making the probability 0
i need this, right now, please, is math
Answer:
The answer is eleven. 11
change each decimal to fraction then determine whether the decimal is terminating.
1. 2
8
2. 8
10
3. 1
6
4. 4
9
5. 8
11
6. 14
11
7. 3
7
Answer:
ok ask your teacher
Step-by-step explanation:
explain what the symbols and sd represent.
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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Identify whether each system of equations has infinitely many solutions or no solution.
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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The fraction 3/5 fits into 2 1/5 more or less than 1? That means the quotient is more or less than 1?
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:
Out of 32 cards, Mookie guessed the color correctly 18 times. What would this be as a decimal? ((Type in 4 digits after the decimal))
Answer:
0.5625
Step-by-step explanation:
18/32=0.5625
Explain how you know that <4 and <6 are the same side interior angles
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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bobby spent 40% of his allowance on art supplies last month, with two-thirds of this amount spent on paintbrushes alone. if his monthly allowance is $75, how much did bobby spend on paintbrushes last month?
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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Find the slope and y-intercept of the graph of the linear equation. Write your answers in simplest form.
y=9.5
Slope: ?
y-intercept: ?
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.
2x + 3y = 30 solve for y
a shop has a sale microwave oven
Answer:
good i will buy
Step-by-step explanation:
Solve the following equation in the picture....thanks:)
The Verdicts on each value of u according to the given inequality are as follows; 11, 13 and 8.
What values ares solutions to the inequality; u ≤ 13?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;
11 ≤ 13?; Yes.13 ≤ 13?; Yes.8 ≤ 13?; Yes.18 ≤ 13?; No.Ultimately, the solutions to the inequality among the answer choices are; 11, 13 and 8 respectively.
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ASAP! exponent rules
Answer: P and Q could both be equal to -1
I will name you the Brainliest if you answer!
Choose the ordered pair that is a solution of the inequality y ≤ −3x − 5.
(2, 3)
(0, 0)
(−1, −3)
(0, −1)
Answer:C. (1,-3)
E. (2,5)
Step-by-step explanation:
Find the sum of the interior angle measures of a regular polygon with 19 sides.
Answer:
Step-by-step explanation:
3060
Convert 47 grams to ounces. (1 gram = 0.0352 ounce)
A: 0.0007 ounce
B: 1.6544 ounces
C: 16.544 ounces
D: 1,335.23 ounces
Answer:
1.6544 ounces
Step-by-step explanation:
47x0.0352
1.6544 ounces
Hopes this helps please mark brainliest
Write an equation in slope-intercept form for the line that passes through (9, 12) and is parallel to y=4
Answer:
y= 12
Step-by-step explanation:
Just change the y-value (b in y=mx+b)
What is the equation of the line that passes through the points (5,3) and
(5,-2)?
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
In a class of 80 students, 40 study physics, 48 study mathematics and 44 study chemistry. 20 study physics and mathematics, 24 study physics and chemistry and 32 study only two of the three subjects. If every student studies at least one of the three subjects, find : a. The number of students who study all the three subjects. b.The number of students who study only mathematics and chemistry.
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
What are set operations?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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solving with master product 3x^2-17x+10=0
Change 08:00 to 12 hour clock time using a.m. and p.m
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
If you are given a continuous function that has a domain of [-3, 4] which of the following values are included in the given domain?
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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Write down two expressions for the
perimeter of this shape, one with
brackets and one without.
t + 5
P (with brackets) =
P (without brackets) =
[2]
[2]
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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Write a linear equation in slope-intercept form to model the situation.
An Uber driver charges a $10 pick-up fee plus $0.20 per mile.
O C=10+.2m
Om = 2+10C
O C = 2+10m
O C = .25m + 10
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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Please help don’t answer if you don’t know:/ PLEASE HELP
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 :)
hello am new here,so I want u guys to help me with the question and good workings and it is urgent.
using sine rule
In a triangle ABC the value of side a is 13.12 cm.
What is a triangle?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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Help me find the I-intercept for the linear function
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
one of your cars is blue. it can travel 31 1/2 miles on 1 1/4 gallons of gas how many miles can it travel on one mile of gas
Answer:
25.2 miles per gallon
Step-by-step explanation:
[tex]\frac{31.5}{1.25}[/tex]
a 2 qaurt bucket of paint costs $20.32. What is the price per cup?
Answer:
$2.54
Step-by-step explanation:
2 qaurt = 8 cups
20.32/8=$2.54 percup