What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?

Answer: x = 3. the length of side ST is 14.

Step-by-step explanation:

Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.

To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.

The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.

We then need to simplify the equation to x = 3.

This means the answer to 9 is x = 3.

For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.

This means the length of side ST is 14.

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠7 = 180 - 90

∠7 = 90°

see image below

Answer:

90°

Step-by-step explanation:

angle 7 is supplementary to the angle next to itself which has a measurement of 90° and since the sum of two supplementary angle would be 180° we can say that m<7 = 90° as well

Answer:

1=true

2=false

3=false

4=true

5=true

6=false

Step-by-step explanation:

hope this helps!:)

Answer:

D) Quadrant 3

Step-by-step explanation:

ok so lets get a random point and try it out i see -10 is a big number so i will use R and see where it is and then t

R(-8,3) so add 2 to x and minus 10 y

R'(-6,-7)

Now t

T(-4,9)

(+2,-10)

T'(2,-1)

It is Quadrant 3

If RSTU is translated by the rule (x, y) ⇒ (x + 2, y - 10) the image R'S'T'U be located at the D. Third quadrant.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

From the given diagram, the coordinate of the vertex(T) is (- 4, 10).

Let, T' be the vertex when the quadrilateral is translated by the rule

(x, y) ⇒ (x + 2, y - 10).

Therefore, The translated coordinate of the vertex(T') is,

(- 4 + 2, 10 - 10).

= (- 2, 0).

So, The quadrilateral will lie in the third quadrant.

learn more about quadrilaterals here :

https://brainly.com/question/29934440

#SPJ2

Answer:

30

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

pls mark brainliest

Answer:

its B)-9

Explain-9,-2,5,12 its increasing by seven

Answer:

i think 15 kid and 18 aduits

Step-by-step explanation:

Answer:

800 children’s ticket were sold and 400 adult tickets were sold

Step-by-step explanation: using elimination

variables-

amount of children’s ticket sold: C

amount of adult tickets sold: A

equations-

A+C=1200

5A+11C=10,800

solving-

(A+C=1200) -5 —> -5A-5C=-6000

5A+11C= 10,800

use elimination on those two equation and you get C=800, A=400.

to check you plug in the numbers into one of the equations, doesn’t matter which one.

Answer: orchard B

Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.

(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.

Answer:

slope = -5

Step-by-step explanation:

y = mx + b

m = slope

In this case m = -5

Answer:

ok, what grade level? and you need to actually type the questions into here

I'll help because your pfp proves that you are indeed a classy individual

So.... using the point-slope formula

y-y₁=m(x-x₁)

y₁ is the y-coordinate

x₁ is x-coordinate

m is the slope

when we find the slope from both points we find that they both have a slope of 16/3

therefore... the lines are parallel

Answer:mutiply not sure

Step-by-step explanation:

Answer:

1. Zero Slope

2. Negative Slope

3. Negative Slope

4. Undefined Slope

Step-by-step explanation:

Answer:

The correct answer would be A. I have attached a picture of how to solve it below. Please have a look at it and give the crown.

Answer:

60 and

x=4

Step-by-step explanation:

Answer: the answer would be X E R

Step-by-step explanation:

Answer:

f(-2) = -40

Step-by-step explanation:

f(x) = 2(x - 3) • 4

Plug in -2 for x.

f(-2) = 2(-2 - 3) • 4

Follow PEMDAS

f(-2) = 2(-5) • 4

f(-2) = -10 • 4

f(-2) = -40

Answer:

[tex]f(x) = 2(x - 3) \times 4 \\ f(x) = 8(x - 3) \\ f( - 2) = 8( - 2 - 3) \\ f( - 2) = 8 \times ( - 5) \\ \boxed{f( - 2) = - 40}[/tex]

Answer:

-123

Step-by-step explanation:

Given that k=14 and d=5 we can substitute d and k for their actual values. -5(5)-7(14).

-5*5=-25.

-7*14=-98.

-25-98=-123.

You can use this method to solve other problems in the future hope you find this helpful. : )

Answer:

The measure of the angle is 150°, the measure of its supplementary is 30°

Step-by-step explanation:

The given parameters are;

The measure of the given angle = 5 × The measure of its supplementary angle

Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;

x = 5 × y...(1)

x + y = 180°...(2)

By substituting the value of x = 5 × y, from the first equation into the second equation, we have;

x + y = 180°

x + y = 5 × y + y = 5·y +  y = 6·y = 180°

y = 180°/6 = 30°

y = 30°

x = 5 × y = 5 × 30° = 150°

x = 150°

The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.

Answer:

Four-fifths (4/5)

hope it helps!

Answer:

Four-fifths

Step-by-step explanation:

To convert this decimal into a fraction remove the decimal and divide by 10, so the new fraction looks like 8/10. You do this because the eight is in the tenths place, so it literally translates to eight-tenths. However, fractions need to be in the simplest form so you divide both the numerator and denominator by 2 to get the final answer 4/5 or four-fifths.

Step-by-step explanation:

When x = 0,

sin3x / 6x = 0 / 0, which is an indeterminate form.

Hence we use L'Hospital's rule:

d/dx (sin3x) = 3cos3x

d/dx (6x) = 6

Now we have 3cos3x / 6 or 0.5cos3x.

When x = 0, 0.5cos3x = 0.5(1) = 0.5.

Hence the limit is 0.5.

Using limits, it is found that the value of the function is of 0.5.

The limit given is:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x}[/tex]

The following property is used:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(ax)}}{ax} = 1[/tex]

Hence, multiplying the numerator and denominator by 0.5:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x} = 0.5\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{3x} = 0.5(1) = 0.5[/tex]

The value of the function is of 0.5.

To learn more about limits, you can take a look at https://brainly.com/question/24482719

Answer: Your answer would be -8

Step-by-step explanation:

You have to divide each side by factors that doesn't contain the variable.

Hope this helped you! <3

Answer:

B.x= -4 and E. x= 10 are the answers

Answer:

First space:1000

Second space:1.1

Third space11000

Step-by-step explanation:

Answer:

More than sorry if im wrong

Step-by-step explanation:

Answer:

24

Step-by-step explanation: We have to find out how much centimeters of tape we need to wrap one present, so you have to divide 12 by 3=4

so you need 4 centimeters of tape to wrap one present. Now we have to find out how much tape we need for 6 presents, so we do 4x6=24.

9514 1404 393

Answer:

  2a. 0.7, 0.3, -0.1, -0.5, -0.9

  2b. 1, 3, 9, 27, 81

  3a. geometric; r = 1/5

  3b. arithmetic; d = -9

  4. 234

  5. 1/32

Step-by-step explanation:

2a. Start with the first term and add the common difference to get the next term.

  0.7

  0.7 -0.4 = 0.3

  0.3 -0.4 = -0.1

  -0.1 -0.4 = -0.5

  -0.5 -0.4 = -0.9

The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.

__

2b. Start with the first term and multiply by the common ratio to get the next term.

The first 5 terms are 1, 3, 9, 27, 81.

__

3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:

  8/40 = 1.6/8 = 1/5

This is a geometric sequence with a common ratio of 1/5.

__

3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...

  -5 -4 = -14 -(-5) = -9

This is an arithmetic sequence with a common difference of -9.

__

4. Use n=50 and evaluate.

  [tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]

__

5. Use n=7 and evaluate.

  [tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]

Answer:

92º

Step-by-step explanation:

(2x-2)º=x+45º

2x-2=x+45

2x-x=45+2

x=47

____________

22x-2=2(47)-2=92º

Answer:

78.151 (approximately)

Step-by-step explanation:

To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²

=140/360×π×8²

=7/18×3.41×64

=7/18×157/50×64

=7/9×157/50×32

=7/9×157/25×16

=17584/225

=78.151 (approximately)

Answer:

9m + 16n

Step-by-step explanation:

14m+2n-5m+20m-6n

9m+2n+20n-6n

add like variable

9m + 16n