Adam invests £520 into an savings account.
Adam gets 0.5% per year simple interest.
Work out the total interest Adam will get after 5 years.

Answer:

19

Step-by-step explanation:

product is the answer of multiplying two numbers together

342/18=19

check

19x18=342

Answer:

plot 1 on the y axis first, go up one point, to the right 3, then keep this pattern going

Step-by-step explanation:

next plug in x values (1/3x)

D= domain, which is located on the x axis

for this reason, substitute D values for x

Answer:

Mean: 12.857

Median: 13

Mode: 15

Range: 9

Step-by-step explanation:

First, let's define what each of these terms mean.

Mean is the average of all the numbers in a set of data. Median is the number in the middle of a set of data after being put in ascending order. Mode is the number most frequently seen in a set of data. Range is the difference between the largest and the smallest number in a set of data.

First, let's go ahead and put all our terms in ascending order. It'll look like this: 8, 10, 12, 13, 15, 15, 17.

To find our mean, we'll add up all the terms and divide them by how many there are. First, we'll add up 8 + 10 + 12... and so on for a total of 90. Next, we'll divide 90 by 7 since there are 7 different terms in our set. 90 / 7 should roughly give you a mean of 12.857, but you can round it as needed.

Next, we'll find the median. The median is the number that is in the exact middle of a set once the terms are put in ascending order. Since, we put our terms in order already, we can see that the number in the middle of our set is 13, and I underlined it in the set to give you a visual!

Next, we'll find the mode. The mode is the number most frequently seen in our set of data. Since 15 is listed the most frequently (twice) it is our mode!

Finally, we'll find the range. The range is just the biggest number minus the smallest number. Our biggest number here is 17, and our smallest number here is 8. Just do 17 - 8 for a range of 9. Let me know if you have any other questions!

Answer:

We know that:

csc(x) = 1/sin(x)

Now we want to work with:

2csc(x+y)

The first step is:

2csc(x+y)= 2/sin(x-y)

This is correct so far.

Now we need to use the relation:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then:

sin(x - y) = sin(x)*cos(-y) + sin(-y)*cos(x)

sin(x) is an odd function, then: sin(-y) = -sin(y)

and cos(x) is an even function, then:

cos(-y) = cos(y)

Then we get:

sin(x - y) = sin(x)*cos(y) - sin(y)*cos(x)

then:

2/sin(x-y) = 2/(sin(x)*cos(y) - sin(y)*cos(x))

Now let's look at what she did:

2/sin(x-y) = 2/(cos x cos(-y)+sin xsin(-y))

Here is her error, she replaced:

sin(x - y) by cos x cos(-y)+sin(x)sin(-y)

This relation is for the cosine function, not the sine one, so here is her mistake.

Answer:

[tex]sin(\alpha -\beta )\neq cos \alpha[/tex] [tex]cos\beta +sin\alpha[/tex] [tex]sin\beta[/tex]

Step-by-step explanation:

I just did the test

Answer:

Both, you and your friend, are correct.

Step-by-step explanation:

5 P 5 = 5!

A shortcut I learned is that in the permutation equation nPn when n is the same on both sides, it is equal to if you used factorial, n!.

Answer:

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation: because the equation is in the format f(x)= mx+b and mx represents slope and b represents y. 2/9x is the slope so 1/3 is the y intercept (can i have brainliest)

Answer:

f=5 and f=0

I substituted wrongly at first but i now i am sure i got it right

brainliest please

9514 1404 393

Answer:

  f(1) = -2

Step-by-step explanation:

Put 1 where x is and do the arithmetic.

  f(1) = -4·1 +2

  f(1) = -4 +2

  f(1) = -2

Answer:

B. showing that AD^2 + DC^2 = AC^2

Step-by-step explanation:

Pythagorean theorem formula: a^2 + b^2 = c^2

^^^^thats all i know, i got the answer from my teacher tho lol

Answer:

1:1.5

Step-by-step explanation:

i dont know if thats the answer u want but ye

cAnswer: its c

Step-by-step explanation:

Answer:

0.4 pounds

Step-by-step explanation:

10 pounds / 25 square feet

to get the number of pounds per feet

10 / 25 = 0.4

so, your answer is 0.4 pounds per 1 square foot

Answer:

-6p+9q

Step-by-step explanation:

Multiply -3 with 2p and multiply -3 with 3q.

Answer:

y = 15, x = 4

Step-by-step explanation:

Hope this helped!

Answer:

y+15x=4

Step-by-step explanation:

Answer: just multiple the numerator and denominator by the same number

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

1/6 * 4=2/3

2/3 * 2=   1  1/3

Answer:

200 + 28= 228

..................

The values of the numbers in the boxes is 57 x 4 = 200 + 28 = 228

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be represented as p

where the value of p = 57

Let the second number be represented as q

where the value of q = 4

And , A = 57 x 4

where the blank spaces in the boxes are by distributive property and

A = 57 x 4

( 50 + 7 ) 4 = ( 50 x 4 ) + ( 7 x 4 )

On simplifying the equation , we get

A = 200 + 28

A = 228

Therefore , the value of A is 228

Hence , the expression is A = 228

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer: 16 units

Since both Y Values are the same, look at the X values. 10 and -6. How far apart is 10 from -6? (10 - (-6) = 16)

16 units, good luck!

Answer:

14.86606875 or

[tex] \sqrt{221} [/tex]

Step-by-step explanation:

[tex] {5}^{2} + {14}^{2} = 221[/tex]

[tex] \sqrt{221} [/tex]

use the pythagorean theorem

Answer:

1/4 or 0.25

Step-by-step explanation:

Find the common denominator to fill in the first 2 blanks.

1/2 = 2/4

1/4 = 1/4

2/4 - 1/4 = 1/4 or 0.25

Answer:

8

Step-by-step explanation:

3x8=24-4=20

Hope this helps!

Answer:

Look down below!

Step-by-step explanation:

Alright, so let's start solving this

1. First we are going to be placing the x one one side and the constants (or the regular numbers) on the other side.

How to do that?

Well, we can take -3x and 20 to their other sides.

The reason for this is that we don't want to have the value with x as a negative

So we do

-3x-4 = 20

+3x -20 -20+3x

You may not understand what was about but all I did was just added 3x to both sides and subtracted 20 to both sides to make the new equation

-24 = 3x or 3x = -24

Now we can see that the x has a number it is being multiplied with so to get rid of the number we divide everything by 3

So

3x/3 = -24/3

Which results in x = -8 and voila, there is your answer!

Answer:

-3(3+20w)

Step-by-step explanation:

Factor the expression

9514 1404 393

Answer:

  (2/3)(e^t +1)^(3/2)

Step-by-step explanation:

Use the substitution ...

  u = e^t +1

Then du = e^t and you are finding the integral of ...

  ∫u^(1/2)·du

which you know by the power rule is ...

  (2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)

Answer:

0.006

Step-by-step explanation:

Answer:

0.006 inches of rain

Hope that helps

Answer:

The range is 34!

Step-by-step explanation:

87-53=34

Answer:

34

Step-by-step explanation:

Hope this helps.

Answer:

B

y=2x+4

Step-by-step explanation:

The y-intercept is 4, as the line passes through the y-axis only once, and at (0,4)

The format of a linear graph is y=mx+b where m is the slope and b is the y-intercept.

You can already tell that B is the only one with the y-intercept of 4.

The slope can be calculated quite easily, as we will start from (0,4) and make our way up to the next easily discernible point. The next most easily point seen is (2,8) so we will use the slope equation to find the slope. The equation is more or less like y2-y1  over x2-x1.

The y2 and x2 would be the (2,8) point because that is the second point on the line we are using. The x1 and y1 would be the first point (0,4). Now we will fill in the equation, which will look like 8-4  over 2-0  which will be 4 over 2, simplified to 4/2 and 2/1, being equal to 2.

The slope/m will be equal to 2, so the equation will look like

y=2x+4

Hope this helps!

Answer:

4, -8

Step-by-step explanation:

Answer: The answer is <-4, -8>

Step-by-step explanation: