Answer: £122.4
Step-by-step explanation:
Given
The rate of interest is 4%
The principal invested is £1500
the time period is 2 years
Compound interest is given by
[tex]C.I.=P(1+r\%)^t-P[/tex]
put values
[tex]C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4[/tex]
Therefore, interest earned is £122.4
(Polynomials)Expand: (m/2+2n)^3
Answer: m^3/8+3m^2n/2+6mn^2+8n^3 Hope that helps!
Step-by-step explanation:
1. Use cube of sum : (a+b)^3=a^3+3a^2b+3ab^2+b^3
(m/2+2n) ((m/2)^2+2×m/2×2n+(2n)^2)
2. Use division distributive property: (x/y)^a= x^a/y^a
(m/2+2n)(m^2/2^2+2×m/2×2n+(2n)^2)
3. Simplify 2^2=4
(m/2+2n)(m^2/4+2×m/2×2n+(2n)^2)
4. Use multiplication distributive property (xy)^a= x^a y^a
(m/2+2n)(m^2/4+2×m/2×2n+2^2n^2)
5. Simplify 2^2=4
(m/2+2n)(m^2/4+2×m/2×2n+4n^2)
6. Cancel 2
(m/2+2n)(m^2/4+m×2n+4n^2)
7. Regroup terms
(m/2+2n)(m^2/4+2mn+4n^2)
8. Expand by distributing sum groups
m/2(m^2/4+2mn+4n^2)+2n(m^2/4+2mn+4n^2)
9. Expand by distributing terms
m^3/8+m^2n+2mn^2+2n(m^2/4+2mn+4n^2)
10. Expand by distributing terms
m^3/8+m^2n+2mn^2+nm^2/2+4n^2m+8n^3
11. Collect like terms
m^3/8+(m^2n+m^2n/2)+(2mn^2+4mn^2)+8n^3
12. Simplify.
And your answer would be m^3/8+3m^2n/2+6mn^2+8n^3
Can you make me Brainliest please
foods that build up the immune system
Answer:
1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.
Step-by-step explanation:
Answer:
Citrus fruits.
Red bell peppers.
Broccoli.
Garlic.
Ginger.
Spinach.
Yogurt.
Almonds.
Step-by-step explanation:
Plz help will mark brainliest plz show work
Answer:
look at the picture i have sent
Without using a calculator, order the following numbers from least to greatest. sqrt(58) 8 7
when i post these questions just solve them for my brother will ya plz he will give thanks to who ever does it
Answer:
1/4 or 5/20
Step-by-step explanation:
You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.
Lydia was doing her homework. She did math for 3/5 of an hour. She did science for 2/3 of an hour, half an hour for art sketches, and 1/10 of an hour for French. and How much time did she spend on her homework? How much time would she have spent if she took 10 minutes break between each subject? Show your work.
Answer:
82 minutes
102 minutes with breaks
Step-by-step explanation:
So there are 60 minutes in an hour. 3/5 of 60 is 36. 2/3 of 60 is 40. And 1/10 of 60 is 6. So adding all those numbers up 36+40+6=82 minutes.
Now if she spent 10 minute breaks in between her assignments then she did 36+10+40+10+6=102 minutes with breaks in between Math and Art also Art and French
Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?
Answer:
Q1 --> 18.5
Step-by-step explanation:
Samantha is constructing a door frame with base 30 inches, height 84 inches, and diagonal 91 inches. A sketch of the door frame is shown.
Answer:
The door is not in rectangle shape.
Step-by-step explanation:
Given:
Length of base = 30 inches
Height of door = 84 inches
Diagonal of door = 91 inches
Find:
The door is rectangle or not
Computation:
Using Pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
So,
91² = 84² + 30²
8,281 = 7,056 + 900
8,281 ≠ 7,956
So we say that the given door angle is not 90°
So,
The door is not in rectangle shape.
Oliver is playing a game in which he has to choose one of three numbers (6, 7, or 8) and then one of five vowels (a, e, i, o, or u). How many possible outcomes are there?
Answer:
There are 15 possible outcomes
Step-by-step explanation:
Here, we want to get the number of possible results
From the question, we can see that each of the numbers have 5 different vowel attachment
What this mean is that, we have;
6a , 6e, 6i, 6o and 6u
For the three numbers, the possible results would be;
5 * 3 = 15
What’s the answer? Down below is a image of the question
Answer:
link is virus dont search
Step-by-step explanation:
Also, I think it's #1. Hope this helps! UwU
I need m<1 and m<2 so if u know pls help
What are simultaneous equations
Answer:
Simultaneous equations are equations involving two or more unknowns that are to have the same values in each equation.
what are the steps in 3-√x-2 =0 ? (to find x)
Answer:
x=1
Step-by-step explanation:
3-√x-2 =0
-√x=2-3
√x=1
x=1²=1
i need help please asap!!!!
Answer:
3.24 m²156 cm²Step-by-step explanation:
1.
Area of a parallelogram = base × height
The area of the parallelogram
= 2.7 × 1.2
= 3.24 m²
2.
Try to divide the figure into 2 rectangles and find their areas.
The area of the larger rectangle
= 6 × (20-6)
= 84 cm²
The area of the smaller rectangle
= 12 × 6
= 72 cm²
The total area of the figure
= 84 + 72
= 156 cm²
Answer:
C) 3.24m^2
C) 156 cm^2
Step-by-step explanation:
The area of a parallelogram is base * height.
The base is 2.7m, while the height is 1.2m.
2.7*1.2 = 3.24m^2.
We can envision the area of the figure to be a rectangle with another rectangle cut out of it.
The total rectangle's area is 20*12, which equals 240cm^2.
The smaller rectangle's width would be 12 - 6, which is 6. The length would be 20 - 6, which is 14. 6 * 14 = 84.
Now we just have to subtract 84. from 240, which is simple. 240-84=156.
The answer is 156cm^2.
if a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?
a) 9x/2
b) 2x miles
c) 3x/2 miles
d) x/2 miles
(13.01 LC) What is the value of the expression 7 +(16 - 7) = 3 + 8? (2 points) O 12 O 15 O 17 O 18 Question 3
Answer:
16 > 11
Step-by-step explanation:
7 + (16 - 7) = 3 + 8
7 + 9 = 3 + 8
16 = 3 + 8
16 ≠ 11
or
16 > 11
Linda bought $87.95 worth of merchandise at an electronics store. She
returned a video game and received a refund of $27.79. Linda also had to
pay a restocking fee of $6.17 for the returned game. After returning the
video game, what was the total cost of Linda's purchase?
Answer: She paid $66.33
Step-by-step explanation:
The overall amount that you paid for the video game was 87.95. She got 27.79 back as a refund. So you subtract what she paid from her refund. 87.95-27.79 = 60.16. She also had to pay a fine for the video game. So you add the fine to the amount. 60.16+6.17 = 66.33.
Overall, she paid 66.33.
Answer:
It's $66.33
Step-by-step explanation:
87.95-27.79+6.17=66.33
↓
She first bought electronics worth of $87.95.
Returned a video game and received a refund of $27.79.
=60.16 (87.95-27.79) | You have to subtract.
Had to pay a fee of $6.17 after returning the video game.
final amount - $66.33 (60.16+6.17) | You have to add the amount she now had after she got the refund and the restocking fee she had to pay.
Write the equation of the line perpendicular to 2y= -x +6 through (4,-8)
A. y= 2x-16
B. y= 1/2x-10
C. y= -1/2x-6
D. y=2x
Answer:
B is perpendicular to 2y=-x+6
pls help im finna fail!!!
Enter the given equation in exponential format.
log base7/8 * 56x = 18y
Complete the square to find
the vertex of this parabola.
x^2 - 4x + y + 10 = 0
([?], [ ])
Answer: 2,-6
Step-by-step explanation:
The vertex of the parabola defined by the equation x² - 4x + y + 10 = 0 is (2, -6).
To maintain the equality of the equation, we need to add and subtract 4 within the parentheses.
3. Rewrite the equation by adding and subtracting 4 within the parentheses: x² - 4x + 4 + y = -10 + 4.
Now, we can factor the perfect square trinomial (x - 2)² and simplify the right side of the equation.
4. Factor the perfect square trinomial: (x - 2)² + y = -6.
The equation is now in the form (x - h)² + k = y, where (h, k) represents the vertex of the parabola. Therefore, the vertex of the parabola is (2, -6).
To learn more about parabolas;
https://brainly.com/question/21685473
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The complete question:
Complete the square to find
the vertex of this parabola.
x² - 4x + y + 10 = 0
1 find the surface area and 2 find the volume
Find the area of the nearest hundredth
Answer:
since the radius is 11 witch the radius is only half so times by 2 witch would be the diamater witch is 22 so the area would be A≈381
Step-by-step explanation:
A=14πd2=14 · π · 222 ≈ 381
i think thats it bc If the object is a circle, and you know its circumference, you would divide the circumference by pi to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.
Answer:
Step-by-step explanation:
what is the area of triangle EDF?
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
solve for x in the diagram below
Answer:
x=20
Step-by-step explanation:
3x+80+2x=180(being linear pair)
5x=180-80
x=100/5
x=20
3x=3*x =3*20 =60
2x=2*x =2*20 =40
what is the value of the expresion when x=8, 4x-6+x+3
Answer:
37
Step-by-step explanation:
substitute the value of the variable into the equation and simplify .
Answer:
37
Step-by-step explanation:
Given
4x - 6 + x + 3 ← collect like terms
= 5x - 3 ← substitute x = 8
= 5(8) - 3
= 40 - 3
= 37
Find the value of x. 43 degrees
A bread recipe calls for 1 teaspoon of yeast for every 2
cups of flour.
Drag the points to create the graph of the function.
Then enter the coordinates for points A and B.
The Coordinates for point A and B are as follows:
A B
1 2
2 4
3 6
What is Coordinates system?A coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point.
The Coordinates for point A and B are as follows:
A B
1 2
2 4
3 6
4 8
5 10
6 12
7 14
8 16
9 18
10 20
Thus, y-coordinates are double than x-coordinates.
Learn more about Coordinate system from:
https://brainly.com/question/4726772
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Find the perimeter of the figure.
Answer:
26 meters
Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.
Answer:
[tex]26[/tex]
Step-by-step explanation:
perimeter= AB + BC + CE + DE + AD
AB= DE = 7
BC = 5
EC= 3
DE = 7
AD = 4
So, perimeter = 7+ 5+ 3+ 7+ 4
→ 12+ 10 +4
→ 24+ 4
→26
So, 26 is your answer
[tex]----------[/tex]
hope it helps..
have a great day!!
What would the other monomial be?
Rochelle is painting her loft teal. There are three walls
that need to be painted. The first wall has dimensions 8
feet by 16 feet. The second wall has dimensions 8 feet
by 21 feet, and the third wall is 8 feet by 11 feet. She
wants to paint two coats. If a gallon of paint covers 350
square feet, how many gallons will she need?