Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (15, 18 ) and (x₂, y₂ ) = (6, 12 )

m = [tex]\frac{12-18}{6-15}[/tex] = [tex]\frac{-6}{-9}[/tex] = [tex]\frac{2}{3}[/tex]

Remember, when finding the slope, use this formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

We can start by labeling (15, 18) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex] and (6, 12) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now, we can plug these number into the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }=\frac{12-18}{6-15}=\frac{-6}{-9} =\frac{2}{3}[/tex]

Thus, the slope of the line is [tex]\frac{2}{3}[/tex]. Hope this helps! Let me know if you have any questions related to this problem.

According to the calculations made, 410 gumballs will be needed to fill the box.

Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:

Therefore, 410 gumballs will be needed to fill the box.

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Step-by-step explanation:

Add 10 to the age you are now and get an answer.

Your age will be 10 years old.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Riddles are of two types: enigmas, which are problems generally expressed in metaphorical or allegorical.

Given that we need to find if you were born 10 years ago how old would you be,

So, you will be 10 years old.

It because when you born 10 years ago, The same as your age.

Thats the puzzle when someone's questions, that called Riddle.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Hence Your age will be 10 years old.

Learn more about riddles click;

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#SPJ2

due to my knowledge its 75 because it is.

Step-by-step explanation:

first I thought the angles at Q and P are right angles (90 degrees). but the last part tells me they are not.

so, all the "perpendicular" answers are out.

answer 1 and 2 are all correct but I would pick 2, because it had the most detail that's true.

and since these 2 lines are parallel, the must have the same angles with the crossing line.

therefore, when the angle RQS is 75 degrees, then the angle TPU is also 75 degrees.

Answer:

Step-by-step explanation:

∠K = ∠c

∠K = 3x - 5

∠K + ∠M + ∠L = 180 {angle sum property of triangle}

3x -5  + 40 + 2x = 180

3x + 2x - 5 + 40 = 180

  5x + 35 = 180

         5x = 180 - 35

         5x = 145

           x = 145/5

x = 29

Answer:

See below.

Step-by-step explanation:

a)

105/3 = 35

35/5 = 7

7/7 = 1

429/3 = 143

143/11 = 13

13/13 = 1

105 = 3 * 5 * 7

429 = 3 * 11 * 13

Not co-prime

For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.

Answer:

6/29

Step-by-step explanation:

Answer:

6/29

Step-by-step explanation:

Answer: 0.875 or 56/49

Step-by-step explanation:

Answer:

x= 3/7 i.d.k if this is correct I did it in my brain

105 people

I hope this helps I would appreciate brainliest if possible :)

Answer:

okay so 105 x 37 = 3885 + 80 + 3965 Which is the max within there budget

Step-by-step explanation:

so your answer is 105

Answer:

I don't know ::{

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(6^2) -5(6) -2 =4

that is the answer

Step-by-step explanation:

6^2 - 5×6 - 2

= 36 - 30 -2

= 4

Answer:

Adults:193

children:295

Answer:

Your answer is :

A rotation Turns a shape. Shapes may be rotated clockwise or Counter-clockwise. Whenever we do a rotation, the figure must stay the same size and the same Shape. It is only turned. Figures always rotate around a Point that does not move. If a figure is rotated all the way around back to where it started, this is called a Full Rotation. Half-way around is 180°.

Step-by-step explanation:

Hope this helps!

z=18

3z+4+2z-4+90=180

5z+4-4+90=180

5z+90=180

5z=90

z=18

Answer:

whats the question?

9514 1404 393

Answer:

  13.7 N

Step-by-step explanation:

The vertical component of the force is ...

  (15 N)sin(66°) ≈ 13.7 N

Answer:

$4 per hour

Step-by-step explanation:

$32 per 8 hours of work

We can just divide 32 by 8

32 / 8 = 4

So her hourly rate would be $4 per hour

we can check this

by $4 * 8 (hours) = $32 per 8 hours of work

Her hourly rate is $4 per hour

Answer:

x=20

Step-by-step explanation:

Firstly add 8 in both sides.

Or,x-8=12

or,x-8+8=12+8

Add up:

Or,x=20

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

[tex]x-8=12[/tex]

[tex]x-8+8=12+8[/tex] ( Add 8 to both sides)

[tex]\sf x=20[/tex]

Answer: -16  Happy to Help :)  Brainliest Please

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Answer:

the answer is: A

because deduce means to arrive at a fact or conclusion by reasoning.

also because the correct word you would use In option A is reduce.

Hope this helps, happy Halloween

Answer:

x = 1/4, y = 11/4

Step-by-step explanation:

hope this helps

Answer:

4:27

Step-by-step explanation:

a guess jebeiiwhjsjshwiid

Answer:

terminating decimal maybe :)

Step-by-step explanation:

Answer:

what goes in the blank space: repeating

Step-by-step explanation:

Any rational number (that is, a fraction in the lowest terms) can be written as either a terminating decimal or a repeating decimal.

[tex]\large\underline{\sf{Solution-}}[/tex]

Let assume that,

[tex]\rm \longmapsto\:A \: = \:\{x\} \: [/tex]

and

[tex]\rm \longmapsto\:B \: = \:\{y\} \: [/tex]

[tex]\rm\implies \:A \: \cap \: B = \phi [/tex]

and

[tex]\rm \longmapsto\:A\cup B = \{x, \: y\}[/tex]

We know,

Power set of a set A is defined as set of subsets of A.

So,

[tex]\rm \longmapsto\:P(A) = \{ \phi ,\: x\}[/tex]

and

[tex]\rm \longmapsto\:P(B) = \{ \phi ,\: y\}[/tex]

and

[tex]\rm\implies \:P(A \: \cap \: B) =\{ \phi \}[/tex]

and

[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]

Now, Consider

[tex]\rm \longmapsto\:P(A)\cup P(B) = \{\phi ,x,y\}[/tex]

and

[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]

[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cup P(B) \: \ne \: P(A\cup B) \: }} \\ [/tex]

Now, Consider

[tex]\rm \longmapsto\:P(A\cap B) = \{\phi \}[/tex]

and

[tex]\rm \longmapsto\:P(A) \: \cap \: P( B) = \{\phi \}[/tex]

[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cap P(B) \: = \: P(A\cap B) \: }} \\ [/tex]