Jasmine invests £250 in a building society. After the first year her account
contains £262.50. After the second year it contains £280.88. Calculate the
percentage increase of the amount in her account:
(a) during the first year.
(b) during the second year.
(c) over the two years.
Give your ansivers correct to 2 decimal places

Answer:

4.2 ft

Step-by-step explanation:

We can assume that the truck is vertically straight, so this will make up the vertical side of the triangle.

This means that the triangle is a right triangle since a right angle will be formed with the ground and the 3 ft side.

Next, we have the ramp length which is 5.2 ft long. This will be the hypotenuse of the right triangle since the ramp is slanted.

We want to find the length of the horizontal leg of the right triangle, which will give us the horizontal distance the ramp reaches.

We can use the Pythagorean Theorem since this is a right triangle:

Substitute these values into the equation and solve for b.

The horizontal distance the ramp reaches is 4.2 ft, parallel to the ground.

Answer:

2/3 and 10/15 1/6 and 3/18

Step-by-step explanation:

to determine which fractions are equivalent, we multiply each fraction by 100

4/ 5 x 100 = 80

8/12 x 100 = 66.67

4/5 and 8/12 are not equivalent

2/3 x 100 = 66.7

10/15 x 100 = 66.7

2/3 and 10/15 are equivalent

If 10/15 is expressed in its simplest form. that is if both numerator and denominator are divided by 5, it would equal 2/3

1/6 x 100 = 16.7

3/18 x 100 = 16.7

1/6 and 3/18 are equivalent

If 3/18 is expressed in its simplest form. that is if both numerator and denominator are divided by 3, it would equal 1/6

2/7 x 100 = 28.6

6/20 x 100 = 30

2/7 and 6/20 are not equivalent

Answer:

8x - 5  ≤ 25

Step-by-step explanation:

Given that the unknown number is x

product of 8 and a number is expressed as 8x

five substracted from the product of 8 and a number is expressed as 8x - 5

Since this expression is at most 25, the inequality sign that you are to use will be ≤ (less than or equal to) since it cannot be greater than 25. Hence the required inequality expression is 8x - 5  ≤ 25

multiply the length and with by the scale factor:

24 x 4/3 = 32 feet

20 x 4/3 = 26 2/3 feet

Area is length x width:

32 x 26 2/3 = 853 1/3 square feet.

Answer:

0 ≤ x ≤ ∞

Step-by-step explanation:

Square roots always need to be either equal to or greater than zero because it should be positive inside (unless we're working with imaginary numbers).

So the domain would be that x ≥ 0 (or the third choice ⇒ 0 ≤ x ≤ ∞).

Options:

A.) Jane should multiply volumes, not areas.

B.) Jane should also subtract the areas of six hidden surfaces.

C.) Jane should also add the areas of six hidden surfaces.

D.) Jane is correct.

Answer:

B.) Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

When three-dimensional solids are joined together to form a solid, some surfaces will be visible while others won't.

When calculating the surface areas of such shapes, we only consider the visible parts (i.e. the areas of the hidden parts will be subtracted from the total areas of the individual shapes).

Since the sculpture is not attached to this question, we can assume that there are 6 hidden surfaces (as suggested by the options). The areas of these 6 hidden surfaces must be subtracted to get the actual surface area.

Answer:

Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

I just did it on Imagine Math

Answer:

y= P(0.87)^t

Step-by-step explanation:

Given data

Price P=  $24,000

Rate of decay in price= 13%

The expression in terms of y, p and t  is

y=P(1-r)^t

y= P(1-0.13)t

y= P(0.87)^t

Answer:

550 inches

Step-by-step explanation:

10*15/2=75

10*5/2=25

15*30=450

75+25+450=550

Answer:

VT = 37.8 ft

Step-by-step explanation:

Here, we want to get the measure of VT

We need the diagram of the triangle here

We can get this in the attachment

From the diagram, we have it that the hypotenuse is the length UT since it faces the right angle

VT does not face the given angle , nor the right angle; this mean VT is the adjacent

Mathematically, the trigonometric ratio that connects the adjacent to the hypotenuse is the cosine

Thus;

cos 66 = VT/UT

cos 66 = VT/93

VT = 93 * cos 66

VT = 37.83

To the nearest tenth of a foot, VT = 37.8 ft

I’ve attached my table of what I’ve done

Answer:

120°

Step-by-step explanation:

Answer:

I think it's a clockwise rotational symmetry from the centre of the circle.

Answer:

a=8 b=6

Step-by-step explanation:

Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100

so a^2+b^2=100

8^2+6^2=100

64+36=100 ✔

and since A is longer than B, a=8, b=6

Answer: a= [tex]5\sqrt{3}[/tex] b= 5

Step-by-step explanation:

sin 60=a/10

[tex]\frac{\sqrt{3} }{2}[/tex]=a/10

[tex]10\frac{\sqrt{3} }{2} =a[/tex]

[tex]5\sqrt{3}=a[/tex]

cos 60=b/10

.5=b/10

5=b

Answer:

(-6, 0)

Step-by-step explanation:

y = 4x + 24

Plug y = 0

0 = 4x + 24

4x = - 24

x = - 24/4

x = - 6

So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)

Answer:

at point x= -6

Step-by-step explanation:

4x+24=0

4x=-24

x=-24/4

x=-6

Answer:

24

Step-by-step explanation:

Do tell me if you ever change your mind and want me to show work :)

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

Answer:

there is nothing there

Step-by-step explanation:

Answer:

what's the question ?

.

.

.

Answer:

1) b) x2−25

2) b) n2 − 1

3) a) p2 − 2p +1

4) c) x2 − 8x +16

5) c) n2 + 6 n + 9

6) b) v2 + 4v +4

Step-by-step explanation:

1. (x + 5)(x − 5) = x^2 - 25

2. (n − 1)(n + 1) = n^2 - 1

3) (p − 1)^2 = p^2 - 2p + 1

4. (x − 4)^2 = x^2 -8x + 16

5. (n + 3)^2 = n^2 + 6n + 9

6. (2 + v)^2 = v^2 + 4v + 4

yesStep-by-step explanation:

Answer:

X = 4

Step-by-step explanation:

17 -X = 1 +3X

NOTE: PUT X IN ONE SIDE AND THE NUMBER IN OTHER

so 17 -X = 1 +3X so it will be 3x + x = 4x

then 17 - 1 = 16

4 divide by 16 = 4

so X = 4

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Thank u  

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Answer:

C

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 8 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 8 = 7 × 8 = 56 in² → C

Answer:

b

Step-by-step explanation:

To determine the size of each of the two cakes that can be covered with icing, he would divide the number of cakes by the amount of icing

2 ÷ [tex]\frac{1}{2}[/tex]

Answer:

1713 milliliters

Step-by-step explanation:

1 liter is 1000 milliliters, so 2 liters is equal to 2000 milliliters.

2000 mL - 287 mL = 1713 mL

So 1713 mL are left.

the part of it is c because of the quizz

Answer:

12 I think

Step-by-step explanation:

hope this helps

Answer:

the answer is 12

Step-by-step explanation:

your welcome

Answer:

4 feet and 3 inches

Step-by-step explanation:

The measure of ladder in feet is 4.15.

Given that, a ladder is 51 inches tall.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 feet = 12 inches

So, in inches = 51/12

= 4.25 feet

Therefore, the measure of ladder in feet is 4.15.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

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Answer:

it is an arithmetic sequence, common difference is 2

Answer:

11) 5x + 8 = 7x - 16

24 = 2x

x = 12

7(12) - 16 = 68

90 - 68

m<GJK = 22

12) 4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 68

x = 4

4(4) + 15 = 31

90 + 31 + ADE = 180

m<ADE = 59

13) 5x - 12 + 2x - 3 = 90

7x - 15 = 90

7x = 105

x = 15

5(15) - 12 = 63

VWZ + 63 = 90

m<VWZ = 27

14) 9x + 3 = 14x - 27

30 = 5x

x = 6

9(6) + 3 = 57

14(6) - 27 =57

90 - 57 = 33

33 + 33 + DHG = 180

m<DHG = 114

Measure of angles of polygons and quadrilaterals:

1) ∠GJK = 22°

2) ∠ADE = 59°

3) ∠VWZ = 27°

4) ∠DHG = 114°

11)

5x + 8 = 7x - 16

24 = 2x

x = 12

Now substitute the value of x,

7(12) - 16 = 68

90 - 68

∠GJK = 22°

12)

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 68

x = 4

Now substitute the value of x,

4(4) + 15 = 31

90 + 31 + ADE = 180

∠ADE = 59°

13)

5x - 12 + 2x - 3 = 90

7x - 15 = 90

7x = 105

x = 15

Now substitute the value of x,

5(15) - 12 = 63

∠VWZ + 63 = 90

∠VWZ = 27°

14)

9x + 3 = 14x - 27

30 = 5x

x = 6

Now substitute the value of x,

9(6) + 3 = 57

14(6) - 27 =57

90 - 57 = 33

33 + 33 + DHG = 180

∠DHG = 114°

Know more about quadrilaterals,

https://brainly.com/question/13805601

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