Colin invests £1200 into his bank account. He
receives 3% per year compound interest. How
much will Colin have after 4 years?​

Answer:

A situation in which you would need to calculate the surface area or volume of a solid would be when you are going to put up wallpaper in a room. You need to measure the room and the wallpaper. If you wanted to put up moldings on the walls too, than you would need to measure the surface area and volume of the moldings as well so you would know where to cut the wood to fit witht eh wall shape of the room.

Step-by-step explanation:

Answer:

Percent error is 44.4%

Step-by-step explanation:

Here, we want to get the percent error

From the question, prediction is 54 while actual value is 78

from the formula given;

Percent error = |prediction-actual|/actual * 100%

so we have

|54-78|/54 * 100%

= 24/54 * 100% = 44.4%

Answer:

2,0

Step-by-step explanation:

Answer:

23.225%

Step-by-step explanation:

Runtime in June (x1) = 7:45 = (7 * 60) + 45 = 465

Runtime in September (x2) = 5:57 = (5*60)+57 = 357

Percentage change in Runtime :

[|x2 - x1|÷ x1] * 100%

[|357 - 465| ÷ 357] * 100%

108 / 465 * 100%

0.23225 * 100%

= 23.225%

Answer:

essentially the fourth option is the best

Answer:

option 3

Step-by-step explanation:

Answer:

-6 √(2) = -8.48528137424

Step-by-step explanation:

:))

Answer:

basically do 23+35+27+48+18+35= 186 then divide it by how many there are (6) = 31 so the answer is 31

Answer:

31 is the mean points Jeremy scored

Answer:

I belive it would be $17,600

Step-by-step explanation:

The way I did it might be confusing but.

12% of 8,000 is 960

960 * 10 is 9,600

9,600 + 8,000 = 17,600

Answer:

Trapezoid

Step-by-step explanation:

A triangle can be thought of as a trapezoid with one of the side length being 0.

Answer:

Parallelogram

Step-by-step explanation: "Surprisingly, this triangle (or any triangle) is related to a parallelogram." Found it in my text (Calvert Academy school)

Answer:

it is D

Step-by-step explanation:

Answer:

l think the answer of this question is 255°

Answer:

24.5 pi in^2

or 76.93 in^2 (Multiplied by 3.14)

Step-by-step explanation:

A = piR^2

Answer:

I think the answers would be a d and b

Step-by-step explanation:

the perimeter formula for a rectangle is 2L + 2W

if we take the measurements for rectangle a and add 4 + 4, we get 8. then we can do 2 + 2 to get 4. lastly, we would add 8 + 4, which equals 12.

for rectangle d, we can do 3 + 3, which equals 6. because the measurements are the same on each side, we don't have to do another equation and we would just add 6 + 6 to get 12.

and for rectangle b, you can do 1 + 1 = 2 and 5 + 5 = 10, then add 10 and 2 together to get 12.

Answer:

14 ft³

Step-by-step explanation:

Previous wardrobe : 7 feet tall, 3 feet wide, and 2 feet long

Volume of previous wardrobe = length × width × height

= 7 ft × 3 ft × 2 ft

= 42 ft³

Volume of previous wardrobe = 42 ft³

New wardrobe: 7 feet tall, 4 feet wide, and 2 feet long

Volume of new wardrobe = length × width × height

= 7 ft × 4 ft × 2 ft

= 56 ft³

Volume of new wardrobe = 56 ft³

What is the difference in volume of the two wardrobes?

Difference in volume of new wardrobe and previous wardrobe = Volume of new wardrobe - Volume of previous wardrobe

= 56 ft³ - 42 ft³

= 14 ft³

Difference in volume of new wardrobe and previous wardrobe = 14 ft³

Answer:

Step-by-step explanation:

This linear graph will be shifted downward by 2 1/2 units:  first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.

Answer:

1. The area is found by using the formula for a rectangle

The area is 150 cm²

2. The area is found by the definite integral for the area between two points under a curve

3. The methods are different

The methods are different because the area of figure A is found by the multiplication between the dimensions, while the area of figure B is found by the difference between the values of the integral of the function between the points

Step-by-step explanation:

1. The area of the shaded figure A is found by multiplying the dimensions of the figure, which is the length multiplied by the breadth of the figure

From the question, we have;

The area of the rectangular figure, A = Length × Breadth

The length of the figure = 15 cm

The breadth of the rectangular figure = 10 cm

Therefore, we have;

A = 15 cm × 10 cm = 150 cm²

The area of the rectangular figure, A = 150 cm²

2. The bell shape of the figure B is obtained from a function f(x) as obtained from MIT mathematics website as follows;

[tex]f(x) = e^{-t^2}[/tex]

Therefore the area of the shaded region in the bell shaped figure between the points 0 and 1 on the x-axis is found by integration as follows;

[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt = \dfrac{1}{2} \cdot \sqrt{\pi} \times erf(t)[/tex]

Using a graphing calculator, we have;

[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt \approx 0.746824[/tex]

3. The method of finding the area of figure A is different from the method of finding the area of the figure B

The methods are different because the area of figure A is the area of the whole figure of a geometric shape with known formula for area while the area of of the shaded region has no predefined formula but is calculated using the calculus for the area under a curve.

Answer:a) 34916  b) 411

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3\sqrt{2} }{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

h = 3[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 6

the hypotenuse is 6 units

Answer:

2π(5)

Step-by-step explanation:

Circumference

C=2πr

Answer:

200

Step-by-step explanation:

I I can easily set the access option 2

Answer:

100

Step-by-step explanation:

One way of doing this is to substitute 300 for 323 and 400 for 384 (rounding off to the nearest hundreds),   We then have 400 - 300, or 100.  The actual difference is 384 - 323 = 61, which is closer to 100 than it is close to 0.

Note:  There's no way that any of the three options you've shared could be the right one.  Was there perhaps another option (100)?

Answer:

80

Step-by-step explanation:

Answer:

The distance between the center of the circle to its circumference is the radius. The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.

Step-by-step explanation:

Mark as brainliest

Answer:

0.18

Step-by-step explanation:

Divide 5.40 by 30.

Can I have brainliest?

Answer:

0.18

Step-by-step explanation:

total cost - the amount of markers = price per marker

5.40/30=0.18

Answer:

x=4

y=7

Step-by-step explanation:

x=4 because the left and right sides are equal

the upper side should equal the bottom side

so y+5=12

y=12-5

y=7

Answer:

Step-by-step explanation:

Perfect square identity:

Completing the square:

In order the given to be a perfect square, we need:

Answer:

CD= 4.25

Step-by-step explanation:

so CD is similar to RS

and the difference between the shapes are 3.75cm.

so 8 - 3.75 =4.25

Answer:

The answer is 2/10 which simplifies to 1/5

I don't know the second one:(

Answer:

that actally made my day a lot better thx, i have like a million over dues that i have get does before school ends

Step-bystep explanation:

Answer:

180

Step-by-step explanation:

112+64

=112+64

=176