Alex invests £4000 for 7 years.
His investment pays compound interest of x% per annum.
At the end of the 7 years Alex’s investment is worth £5263.73
Work out the value of x

Answer:

10 * 9 = 90

90/2 = 45

45 cm^2

Answer:

2√65(13+√2)

=2√130+26√65 (Decimal: 232.42221)

Step-by-step explanation:

Hi there!  

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I believe your answer is:  

[tex]{x=152.666....[/tex]

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Here’s why:

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[tex]\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow \boxed{x=152.666....}[/tex]

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Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

[tex]\text{ Thank ~you!! }[/tex]

Answer:

B.

Step-by-step explanation:

B. 0.078 is your answer

Answer:

1688/22

Step-by-step explanation:

keep, change, flip

Answer:

2  and 31 are prime

15 and 8 are composite

1 is neither prime nor composite

Step-by-step explanation:

Prime numbers are only divisible by one and  themselves

15 = 5*3  composite

2 = prime

8 = 4*2  composite

31 = prime

1 neither prime nor composite

13= prime

Answer:

x = 20

Step-by-step explanation:

180° = total

3 = amount of angles

180 ÷ 3 = 60°

60° + 60° + 3x = 180°

120° + 3x = 180

3x = 180 - 120

3x = 60

x = 20

Answer:

A, or "The height does not lie on the base because it's perpendicular to the base."

Step-by-step explanation:

EDGE 2021

Option A is correct, the height does not lie on the base because it is perpendicular to the base.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone.

We have to find the Jalen’s error.

As we know that height does not lies on the base because it is perpendicular to the base.

The Jalens error is that height does not lie on the base because it is perpendicular to the base is a error statement.

Hence, option A is correct, the height does not lie on the base because it is perpendicular to the base.

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Answer:

[tex]\frac{1}{27}[/tex]

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

[tex]\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}[/tex]

Finally, we see that the probability of all three balls landing in the same bucket is [tex]\frac{1}{27}[/tex]

Answer: A. preserves length, angle measures and distance between points

Rigid motions or isometries are any of the three transformations below

Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.

If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.

Step-by-step explanation:

Sorry I don't kNkw the amswer

Answer:

$58.8

Step-by-step explanation:

You will take 60 which is the the amount of songs you bought then multiply it by .98. This will then give you 58.8

Answer:

I think it is 4

Step-by-step explanation:

as the Y intercept is -3 so only that one crosses -3 on Y axis.

Answer:

x = [tex]29^{o}[/tex]

Step-by-step explanation:

Looking at the right triangle we see two congruent sides, which means that we can find the angles:

180 - 64 = 116° for both bottom angles of the right triangle, so 58° (116°/2).

Looking at the middle angle we know that left corner from the left triangle is 58° so the angle in the middle would be 180 - 58 = 122°.

Since the right triangle equals to 180° then we can find the missing values including x:

180 - 122 = 58° is the total angle for each corner of the right triangle. So x would be 58/ 2 = 29°.

Therefore x = 29°.

Answer:

See below

Step-by-step explanation:

f(x - 1) is the translation of f(x) one unit right.

So the graph is exactly same shape but shifted right one unit.

f(x) has vertex (-1, 2)

The function y = f(-x) + 2 will have the vertex changed as per rule:

So the new vertex is:

Answer:

- 39

Step-by-step explanation:

x + 7= (-2)^5

x + 7 = -32

x = - 32- 7

x = - 39

Answer:

[tex]9\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]\frac{x}{8-y}=\frac{48}{8-3}=\frac{48}{5}=9\frac{3}{5}[/tex]

Answer:

9.6

Step-by-step explanation:

x=48

y=3

=>x/8-y

=>48/(8-3)

=>48/5

=>9.6

Answer:

side a = 17.58722

angle a = 41.96 degrees

angle b = 47.04 degrees

Step-by-step explanation:

Obtuse Scalene Triangle

Side a = 19.25

Side b = 17.58722

Side c = 26.3

Angle ∠A = 47.04° = 47°2'23" = 0.821 rad

Angle ∠B = 41.96° = 41°57'37" = 0.73234 rad

Angle ∠C = 91° = 1.58825 rad

C=91°B=41.96°A=47.04°b=17.587a=19.25c=26.3

Area = 169.25122

Perimeter p = 63.13722

Semiperimeter s = 31.56861

Height ha = 17.58454  

Height hb = 19.24707

Height hc = 12.87082

Median ma = 20.19553  

Median mb = 21.30255

Median mc = 12.92339

Inradius r = 5.36138  

Circumradius R = 13.152  

Vertex coordinates: A[0, 0] B[26.3, 0] C[11.98551, 12.87082]

Centroid: [12.76184, 4.29027]

Inscribed Circle Center: [12.31861, 5.36138]

Circumscribed Circle Center: [13.15, 0.22953]

False because it's not true that's not the anwser

Answer:

1.5

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{3}^x[/tex]

[tex]Options: 0.3\ 0.9\ 1.0\ 1.5[/tex]

Required

What value cause a stretch

For the function to stretch, then the scale factor must be greater than 1.

From the list of options.

Only 1.5 is greater than 1 i.e. [tex]1.5 > 1[/tex]

Hence, 1.5 will cause a stretch.

Answer:

ITS D. 1.5

Step-by-step explanation:

Answer:

h = 20 ft

theta =53.13010235

Step-by-step explanation:

First we can find the height by the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs

15^2 + h^2 = 25^2

225 + h^2 = 625

h^2 = 625 - 225

h^2 = 400

Taking the square root of each side

h = 20 ft

Now using trig functions

cos theta = adj side / hyp

cos theta = 15/25

Taking the inverse cos of each side

cos^-1 ( cos theta) = cos^-1 ( 15/25)

theta =53.13010235

Answer:

1/a^2 is the answer to this question

Answer:

2 ( 2x+3) (2x-3)

Step-by-step explanation:

8x^2-18Factor out the greatest common factor of 2

2( 4x^2 -9)

2 ( (2x)^2 - 3^2)

What is inside the parentheses is the difference of squares

a^2 - b^2 = (a+b)(a-b)  

2 ( 2x+3) (2x-3)

Answer:

B. 2( 2 x + 2 ) ( 2x - 3 )

Step-by-step explanation:

8 x² - 18

2 ( 4 x ² - 9 )

2 ( ( 2x ) ² - ( 3 )²)

2 ( 2 x + 3 ) ( 2x - 3 )

The factorization of x2 - 6x + 5 is (x - 1)(x -5)

From the graph, the zeros of the function are:

x = 1 and x = 5

Set the zeros to 0

x - 1 = 0 and x - 5 = 0

Multiply the zeros

(x - 1)(x -5) = 0

Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)

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Answer:

The following sizes of rectangles could have been drawn: A, C and E

The formula for X's cumulative distribution function (CDF) is

a. Probability P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 1/7 + 1/14 + 3/14 = 5/14

b. P(X<3) = P(X=1) + P(X=2) = 1/7 + 1/14 = 3/14

c. P(X<4.12|X>1.638) = P(2<X<4.12)/P(X>1.638) = [P(X=3)+P(X=4)]/[1-P(X=1)] = (3/14)/(11/14) = 3/11

d.  The cumulative distribution function of X, for x = 5, F(5) = 1

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, we have,

a. Probability P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 1/7 + 1/14 + 3/14 = 5/14

b. P(X<3) = P(X=1) + P(X=2) = 1/7 + 1/14 = 3/14

c. P(X<4.12|X>1.638) = P(2<X<4.12)/P(X>1.638) = [P(X=3)+P(X=4)]/[1-P(X=1)] = (3/14)/(11/14) = 3/11

d. The formula for X's cumulative distribution function (CDF) is

F(x) = P(X < x)

For x = 1, F(1) = 1/7

For x = 2, F(2) = 1/7 + 1/14 = 3/14

For x = 3, F(3) = 1/7 + 1/14 + 3/14 = 5/14

For x = 4, F(4) = 1/7 + 1/14 + 3/14 + 2/7 = 11/14

For x = 5, F(5) = 1

As a result, X's CDF is:

F(x) = {1/7, x < 1

3/14, 1 ≤ x < 2

5/14, 2 ≤ x < 3

11/14, 3 ≤ x < 4

1, x ≥ 4}

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complete question:

Let X have probability mass function

x 1 2 3 4 5

px(x) 1/7 1/14 3/14 2/7 2/7a. Calculate P(X≤3).

b. Calculate P(X<3).

c. Calculate P(X<4.12|X>1.638).

d. Find the cumulative distribution function of X.

Answer:

105.12

Step-by-step explanation:

Find the area of the rectangle (8 x 10 = 80)

Find the area of the whole circle (3.14 x 4^2 = 50.24)

Divide the area of the circle by 2 since it is a semi circle (50.24 / 2 = 25.12)

Add the area of the two (25.12 + 80 = 105.12)

Answer:

x=1

y=-2

point form- (1,-2)